Thick steel wire has larger cross sectional area than thin steel wire.Since force, in this case weight, that can be carried is proportional to the cross sectional area, thick steel wire can carry more weight.

In case of Planer machine, the job moves and the tool is stationery. In case of the Shaper machine the job is stationery and the tool moves. Bigger jobs can be accommodated by Planers whereas Shaper is meant for small jobs.

Russia

The most common problem encountered with a mechanical fuel pump is clogging due to cotton waste, dirt or some such foreign matter in the fuel. It can be prevented by cleaning the filter before the suction of the pump regularly.

A submarine has ballast tanks. These are filled with water and the additional load of water makes the submarine to sink. When the submarine wants to surface, compressed air is used to force out the water in the ballast tanks. The submarine becomes lighter and it comes to surface.

In 1861 Nikolaus Otto invented Otto Cycle for petrol engines and a few years later he invented the same for diesel enginees. This is the basic 4 stroke cycle used by automobiles till date.

1. Isentropic Compression. 2. Constant Volume heat addition. 3. Isentropic Expansion. 4. Constant volume heat rejection. 

Jawaharlal Nehru, Indian PM

The British had imposed a tax on salt, the common mans essential item. Dandi march was organized to institute a protest staged so as to force the British Government to withdraw the salt tax.

Cotton. Ginning is the process of removal of the seed from cotton

The Organization of Petrol Exporting Countries sits down with its member Middle-Eastern nations and fixes the price and the quantum of production by each member country. Officially it does not act as a cartel.

Mayor

Red Cross

MIC. It leaked from a plant of Union Carbide, in Bhopal. Thousands inhaled and died. Many more were affected.

The yet uncurable disease AIDS

Maithon, Panchet, Massanjore

Bamboo. 

The so called Sepoy Mutiny of 1857

Forward Block

Intra Uterine Device

decibel

The Hague

1905

The United Nations Organization

"Dilli Chalo"

United Nation's Educational, Scientific and Cultural Organization

Because an Ordinance needs to be ratified by the State Legislature within 6 months or else it will lapse

In reponse to the bombing of Pearl Harbour, USA by Japan

Hydroelectric Power has no running cost since here power is generated from free flowing water from a river whereas Coal has to be mined and transported over large distances to the Thermal Power Plant. Petroleum is a costly and imported item and hence generated power becomes very costly. While hydro-electric power does not cause pollution, coal and Petroleum do.

It means slowing down or reducing the speed

It is the opposite of acceleration.

HCl

A system which allows all adult citizens to cast votes during an election.

Crushed sugarcane, jaggery (or molasses) and alcohol

English was a unifying factor as it became increasingly understood by people from all states, who did not understand the language of each other.

ice

Inflation is the state of economy of a country "when too much money chases too few goods". In other words moneysupply is high but goods supply is low. In this situation price of things go up which means the 'value' (purchasing power) of money goes down. 

It is a rotating device run by electricity. It runs domestic water pumps and large industrial machines. It comprises of a static part or stator and a rotating part or rotor. 

Profit

Consumer goods are for direct use by the consumers. Examples: an apple bought from a shop for direct consumption, a TV or a shirt.

Producer goods are like inputs to processes which make a consumer good. Example: The same apple when purchased by a manufacturer of bottled apple juice becomes a producer goods. Other examples are machineries for production etc.

1 gm-mole of nitrogen is 28 grams. Therefore 7 gms of nitrogen is 7/28 gm-mole or 0.25 gm-mole

As per Avogardo's Law number of atoms in 1 mole of any substance = 6 x 10 to the power -23.

Therefore no of atoms in 7 gms of nitrogen = 6 x 0.25 x 10 to the power -23.

Pakistan

Kelvin

Substances exist in 3 states: Solid, Liquid and Gas

Melting point is the temperature at which a solid substance changes state to liquid.

Example: Melting Point of ice is 0 C

Dry ice is the solid form of Carbon di-oxide.

Carbon di-oxide becomes solid at around -78C, without becoming liquid first. This process is called sublimation.

As temperature goes up dry ice gives out white fumes and goes back to gaseous state without passing through the liquid state.

This property of Carbon di-oxide is used in films and drama stages to produce copious white fumes. 

Cotton is good conductor of heat.

The heat of the sun which falls on our body gets dissipated easily to the atmosphere if we wear cotton and we feel cool.

Synthetic clothes trap this heat and makes us uncomfortable.

The products of combustion of dry wood gives out gases which cause atmospheric pollution

Otto cycle is a standard cycle for spark ignition engine. It has 4 stages namely Isentropic compression, Constant Volume heat addition, Isentropic expansion and Constant volume heat rejection. 

The trouble or hindrance in developing wind power and power from water flow is that such plants can not be set up anywhere. For setting up wind power turbines we have to look for places where steady and strong wind currents are available.For setting up water flow based power plants or hydro-electric power plants we have to look for rivers on which a dam can be built across two mountains between which it flows and then a penstock may be constructed at a considerable length at a much lower level.

Many wind power turbines have been built in the Thirnelveli district of Tamilnadu. 

Nirogen is an inert gas. Unlike oxygen it does not oxidize and affect the quality of fruit packed in plastic bags. 

The reaction is Ca + 2 H2O = 2 Ca(OH)2 + H2.

Hydrogen is liberated. The byproduct is slaked lime.

The reaction involved is Ca + H2O = Ca(OH)2 + H2

The hissing sound comes from Hydrogen which is liberated during the chemical reaction for the slaking of lime process.

Ca +2H2O = Ca(OH)2 + H2 

The constituents of bronze are 88% Copper and 12% Tin. There are variations

Iron does not occur naturally in the crust of the earth because it quickly reacts with oxygen present in the atmosphere and becomes Ferric Oxide 

2ZnS+3O2 = 2ZnO + 2 SO2

When Zinc Sulphide is heated in air, Zinc Oxide is produced and sulphur dioxide is liberated 

Reinforced Cement Concrete uses steel rods for strengthening Cement Conrete. The latter only has cement, sand and stone chips. 

James Watson received Nobel Prize for the double helix model

Strategic Metals are those which are essential for production of goods required for defence of a country. 

Examples-zinc, copper, silver, lead and Titanium

corrosion of iron merely means oxidation reaction of iron in contact with oxygen in the atmospheric air. Iron becomes iron oxide also called rust. 

When a meteor passes too close to the earth it is attracted due to earth's gravity and ends up crashing with the earth. When it falls through the atmosphere at high speed, it catches fire and appears in the night sky as a "Shooting star". 

Sphalerite or Zinc Sulphide. These ores abound in Hindustan Zinc Limited sites in Rajasthan

PYREX glass is used in laboratoryware and kitchenware

Power is the inverse of focal length. In this case since power is 2, focal length is 1/2 or 0.5 meters

Mars and Venus

Miescher

It has been realised that all organizations make use of exactly the same resources to manufacture similar products. All resources except the human resources, which varies from organization to organization. For example all companies producing cars make use of the same raw material like steel, glass and plastic but yet the products turn out to be vastly different in quality, reliability and generate different levels of customer satisfaction. There are many companies in the IT sector who all process "information" using perhaps the same type of computers and softwares but yet they earn different levels of customer loyalty and hence profit. The secret has been traced to the way the successful companies make use of their human capital. If a company can keep its people motivated and trained, the human capital produces very high rate of return by ensuring delivery of sustained value for the Clients. The benefits in investing in human resources are many times more than the cost involved for doing so and is reflected in the good will that the Company earns over a long period of time as successful companies who invest in their human capitals like Tata, Infosys and Apple or others have learnt over the years. 

The question perhaps means 'How does the price of related goods influence the demand for a commodity?'

Since we are talking about a commodity and not about a special item which is only supplied by one particular supplier, when the price of related goods fall, people will buy those alternative commodites and the demand for our commodity will fall. Accordingly its price would also fall. Conversely when the price of related goods rise, the demand for our commodity will rise in the short term, as our commodity remains cheaper. In due course the price of our commodity will also rise as the demand for it goes up and up. 

Oxygenated blood is sent to all partsof the body from heart through Arteries and then through its branches

Appendix

A family income is first spent on a few essential expenditures like food, clothing, house rent, children's education etc. What is left of the income after that is called the 'consumer surplus'. A family then thinks of buying other commodities with this consumer surplus. If the income of the family increases, this consumer surplus also increases and there is more money available to the family for buying other goods. Hence the demand for these goods increases. Conversely, when there is decrease in the family income, the consumers' surplus also reduces and there is less money available for buying non-essential commodities. Therefore the demand for these goods fall.

A democratically elected government is more accountable to the public because it comes to power due the majority of the public voted for it. The government is apprehensive that the same public may not vote it to power next time if it does not fulfil their expectations. 

With the existing level of scientific knowledge we can not predict where an earthquake will strike next or when. Therefore we cannot be forewarned about it. The only way open to us is to cope up with its aftermath. We can at best reduce its harmful consequences by making buildings and structures in the earthquake-prone areas of lightweight material so that they cause less damages and they can be soon reconstructed cheaply. We can also take certain engineering factors while designing buildings in the earthquake prone areas like Japan does and take earthquake on our stride rather than blaming God for it every time. The other thing we can do is Emergency Preparedness. We can have a small team to rush to the spot quickly with the essential medicines and supplies who can provide relief and bring down the severity of an earthquake in terms of the human impact.

Geostationery

2HgS + 2O2 = Hg2 + 2SO2

When Cinnabar or HgS is heated in air, Mecury is produced along with SO2 gas

Spiral

Brahmaputra

MANY NON-METALS LIKE WATER ARE LIQUID AT ROOM TEMPERATURE. A METAL THAT IS LIQUID AT ROOM TEMPERATURE IS MERCURY.

Darwin's theory of natural selection which talked about a common ancestor to all living beings was questioned as it was too radical a theory for the contemporary thinking. But as more and more scientific and visual evidences were discovered, scientists got round to accepting it. However the religious bodies continued to opposed to it as it went against the faith that a God created the world and all forms of life.

Boiling Point is the temperature at which an item changes phase from liquid to gaseous at a given pressure. For example the boiling point for water is 100C under normal atmospheric pressure.

An electric motor is a device to convert Electrical Energy to Mechanical Energy. 

Lakshyadweep and Amindivi islands

1. Latent Heat of Vapourization or evaporation

2. Latent Heat of Fusion

If we go on heating water, the temperature will increase. The temperature will stop rising after reaching 100C. However if we keep on heating the water it will change state and will become vapour or "steam". The temperature will remain 100C. Where does the heat go then? The heat goes in providing the Latent Heat of vaporization so that water at 100 C can become steam at 100C. This heat required for enabling change of state from liquid to gaseous is called the latent heat of vapourization.

Every one is advised to make some savings against a temporary set back in life like loss of a steady source of income or a sudden unplanned expenditure coming up for a familly. Saving is good. In fact the government encourages savings because the government can plan some investments on social welfare or industrialization using these sums saved by the people with banks.

However hoarding is bad. Unscrupulous businessmen and traders hide some stocks like rice or cement that they deal with and create an artificial shortage in the market. The price goes up due to the artificial shortage and the traders make windfall profits. Government discourages hoarding and some times raids the unscrupulous hoarders to put the hoarded stocks back in to the market for the benefit of the public so that the price comes down.

Compressed Natural Gas

According to the techtonic theory, Himalayas were formed due to the collision of the Indian Plate and the Eurasian Plate many million years ago.

Ice at 273K will first require about 80 calories of heat per gram to become water at 273K. This heat will be taken out from the body to be cooled. Then the Sensible Heat will be taken out by water at 273 K from the body to be cooled further. Therefore ice at 273K is more effective in cooling a body than water at 273K

Liquefied Petroleum Gas

S + 2H2S04 = 3S02 + 2H2O

When Sulphur reacts with Sulphuric Acid, Sulphur Dioxide gas and water are produced 

Jupiter

Stainless Steel does not rust like its main constituent iron

The main constituents of a common variety of Stainless Steel is 18% Chromium, 8% Nickel and the rest iron. 

Lime stone is Calcium Carbonate. It breaks up to CaO and CO2 inside blast furnace. CaO combines with the impurities in the ore like SiO2 and produces Calcium Silicate. This is called slag, floats on top of the iron and is tapped out.

Hot air blast fed to the blast furnace combines with Carbon and produces CO2. This CO2 combines with hot carbon to produce Carbon Monoxide. Carbon monoxide reduces the ore, Fe2O3 to Iron, Fe which collects at the bottom of the furnace and is tapped out. 

It is the angle of incidence for a ray of light going from a rarer medium to a denser medium when the angle of refraction is 90 degrees.If the angle of incidence is more than the critical angle, there is total internal reflection.

If the angle of incidence is greater than the critical angle there will be total internal reflection.

2H2S + SO2 = 3S + 2H2O

The constituents of Bronze is usually 88% copper and 12% Tin.

The biggest difference is in the electrical conductivity of Bronze compared to its main constituent Copper.

If Copper is taken as 100% conductive, some brozes have as low as 7-15 % conductivity.

Potable water means water that is fit for human consumption

Metalloids are elements which are in-between metals and non-metals.

Silicon is too brittle to be a metal. However it combines with other metals. Silicon has become a main stay of the electronics industry.

When steam is passed over red hot iron Fe2O3 and Hydrogen are produced.

3Fe + 4H2O = Fe3O4 + 4H2

Carbon di-oxide causes global warming by trapping sunlight and making the earth warmer. Global warming causes devastating natural disasters like flooding of low lying areas, melting polar caps of ice etc. CO affects human beings and ultimately causes death. But the scale of calamity caused by CO2 is much more and hence CO2 is considered much more dangerous.

We can locate Pole star at night using the Saptarshi Mandala or the Bigg Dipper. 

Insulin

Charles Darwin

Solution of Ammonia in water is NH4OH

AlCl3 + 3NH4OH = Al(OH)3 + 3 NH4Cl

Astigmatism is a kind of eye defect. It can be corrected by lenses or contact lens

A layer of oil dos not allow irin to come in contact with the oxygen present in air and thus prevents corrosion.

A protective layer of Aluminium Oxide develops on the surface of Aluminium which does not allow corrosion.

The rate of reaction increases with the increase in the temperature of the reactants. There are exceptions.

Plaster of Paris powder is made by heating Gypsum.

When water is added to this powder it quickly hardens again releasing some heat.

2CaSO4.1/2H2O +3H2O ==.>2CaSO4.2H2O +heat

Ammonia is used as basic material in Fertilizer industry.

Fertilizer industry

There are quite a few reasons:

1. There is no land mass after Indonesia, Malaysia till this area in Andhra hence a lot of moisture collects in the air

2. There are no high mountains in the coastal area to arrest and dissipate wind movements 

3. Monsoon season comes twice in a year

Liberalization means reducing restrictions by a country to import and export of goods and services.

1. Sole Proprietorship - owned by one person

2 Partnership- owned by a few individuals

3. Private Limited Company- owned by share holders with limited liability

India won independence as a result of a number of Geo-political factors prevailing simultaneously at that time:

1. The Labour Party had come to Power in England under Richard Attlee defeating Winston Churchill of the Conservative party which had been in favour of continuing with the government of overseas Colonies like India

2. It was because of America that England and Allies could win the Second World War and America was against continuation of foreign dominions by UK. Hence these had to be dismantled one by one.

3. In India political awareness was building up and people were clamouring for their say in the Government. An armed struggle was being organized by Netaji Subhas Bose.

Red, Blue and Green

Breaking of monsoon means when the regular monsoon starts at a place. Before that there are pre-monsoon showers.

Right ventricle of the heart pumps blood to pulmonary artery. From there it comes back to lungs getting deoxygenated. Lungs purifies or oxygenates the blood. Oxygenated blood is received at the left atrium of the heart. 

Thyroxine is an important hormone secreted by Thyroid gland. It flows to liver and kidneys. Too little or too much secretion of thyroxine can affect metabolism in different ways. 

In a Capitalist Economy the entrepreneurs are free to choose what they want to produce. They choose to produce some thing which gives them the maximum profit.

From the beginning of the civilisation rivers play an important role in the economy of a country. It provides water for cultivation. It provides a means for transportation of the produce of agriculture and bringing back other economic goods to the agriculturists. Now a days many industrial units like Thermal Power Plants which need a lot of water are also located near rivers.

Positive Tropism means movement towards the stimulus like a plant styles its foliage towards sunlight. Negative tropism means movement away from the stimulus. There are other tropism like geotropism and thigmatropism.

In 2011 The United Nations defined countries with Gross National Income per capita less than $ 4036 as Developing Countries. At the same time it is at pains to state that this definition in no way casts any aspersions on these countries! The  GNI for India for the period 2006 to 2010 was $5240 and for the period 2011 to 2015 it is $5630. Hence strictly speaking India is coming out of the definition for Deloping countries. 

But the figures for USA for the same periods were $5400 and $55860! So you get the idea.

General Insurance is payable in case of loss of insured property due to fire, earthquake, flood and the like.

Life Insurance becomes payable to the nominee only when the insured person expires. 

The process of Fission of radioactive material is used currently in nuclear powered Electricity generation plants

GRAVITATIONAL FORCE OF THE EARTH

It is a good step. There is a huge transformation taking place in the field of consumer behaviour in India. Customers are increasingly making purchases on-line rather than going out for shopping physically. This has resulted in a new demand for a supply chain to reach the product from manufacturer/stockist to the consumer calling for a reliable supply chain. In case a customer does not like the product he can return it. That entails an equally reliable Reverse Supply Chain. 

Supply Chain Management also thrives in the field of Industrial raw material and other goods. Many times the customer wants to know on real time basis what exactly is the current location of the raw material he had ordered and when will he get it. An efficient SCM system can answer this query immediately and satisfy the customer.  

8 degree 4 minutes to 37 degree 6 minutes

Two forces keep the planets in their orbits. The Centrifugal (away from the centre) force generated by the motion of the planets tries to pull them away from the Sun and the Gravitational force exerted by the Sun tries to pull the planets towards it.

Paper Industry uses plants and small trees as raw material for making paper. It is required to grow trees to compensate for this act against ecology by planting trees. Certain areas lose their forest cover due to natural reasons like soil erosion, cyclones etc. The government takes mitigatory action towards restituion of forest cover by planting trees. These actions are called forest replenishment.

When there is a cut some where in our body, blood flow out. However there is an immediate preventive mechanism in our bodies to stop loss of blood. Blood platelets form a close-knit layer and arrests flow of blood. Blood coagulates or solidifies (called clotting) and prevents blood from coming out. 

More than 10% of Indian land mass can be said to be prone to land slides. However these areas are mostly in the hills. Hills of North-East from Darjeeling-Sikkim to Arunachal and further east are prone to land slides and so are some of the hills under Shivalik, Uttarakhand in the Western Himalayas etc are prone to land slide.  

4 types of deposit accounts can be opened in banks. Savings, Fixed Time, Recurring and Current Account.

An Economy which permits participation by both Private Sector and Public Sector is called a mixed economy.

Distribution of goods and services plays a very important role for manufacturers as well as consumers in a country as big as India. Imagine for a moment how a two-wheeler driver gets petrol in a remote area of Orissa. Without a proper and efficient distribtion system put in place by the Oil companies this would be impossible. So it is for other consumer white goods and industrial raw materials and spare parts. On top of that consumers are now purchasing goods using internet or mobile services. These goods have to be reached to the consumer quickly and in some cases returned to the manufacturer/reseller if unaccepted. This is how distribution pf goods and services affects the consumer. 

Transport of food from leaves to other parts of a plant is done through phloem and the process is called Translocation.

Chlorophyll A and B and other accessory pigments absorb sunlight 

There are many criteria, but the essential feature of a fair election is when the electorate (or a voter) is able to vote freely and choose a candidate he likes without being subject to any kind of threat or harassment. The constituency should be located at a close distance from the place of his residence, only genuine voters should be able to cast vote, their employers should allow them leave of absence at least for the time required to go to cast their votes and return, the voter should be able to use the NOTA option when he does not like any of the candidates etc etc

6 years

Tropic of Cancer

The preamble summarises the objectives of our constitution. It guarrantees Freedom, Equality, Liberty and Fraternity to all its citizens. It also lays down the aspiration of our country to be a Sovereign, Socialist, Secular and Democratic Republic.  

Availability of Raw Materials, Manpower, Electricity, Consumer Surplus for generation of demand for economic goods, stable government-its economic and taxation policy, level of education, balance of trade with other countries all these influence economic development of a country

Availability of Raw Materials, Electrical Power, Trained Man-power, well laid out infrastructure for transportation of goods and services, level of education, Consumer surplus for generation of demand for industrial goods and a stable government and its policies-all these influence economic development of a country

Globalisation means world-wide proliferation. These days due to ease and speed with which we can go from one country to another and information can flow from one country and about one country to another, the world has become a very small place and therefore no country can remain isolated or secluded. There are good and bad effects of globalization. The value of currency of one country is also no more decided by the country itself. We enjoy the benefit of a global existance as we can hope to get a job anywhere in the world. But there are some bad influences like the western way of life which forces its way all over the world due to globalisation.

Godavari

Napolean was defeated in the battle of Waterloo in 1815 which sealed the fate of France which surrendered to England.

The files in government offices are traditionally tied with a red tape. Red Tapism is a slang for bureaucratic delays created when the file moves from one desk to another desk for signature and nothing really happens. The lazy and often inefficient Babus hide behind this precedure to delay taking important decisions affecting progress

Density is mass per unit volume of a substance. 

The theory of plate tectonics has been developed in the Nineteenth Century and describes how the Continents as we see them today have been formed due to breaking up of a super continent called Gondwanaland. The continents have been drifting slowly since their break up. A zig-saw puzzle attempts to show graphically which continent was once located where in the big land mass called Gondwanaland. 

Myanmar is slowly proceeding in its way to establish Democracy as the form of Government

Bleaching Powder

The physiographic divisions of India are:

The Northern Mountains

The Southern Peninsula

The Desert in the West

Indo-Gangetic Plain

The Coastal Plains

The Islands

Bio-degradable means waste items which get broken down by nature with time.

Non-biodegradabale items can not be degraded by Nature -like Plastics and spoils the ecology.

.doc or .docx

PTFE, commonly known as Teflon

Calcium hypochlorate, Ca(ClO)2 is called chloride of lime and it is alkaline

CaCl2 is known as Calcium Chloride and it is neutral

Dr. B R Ambedkar was the Chairman of the Drafting Committee of our constitution

A flat bottomed glass flask containing Ammonia is held in a stand upside down. It has a rubber cork which has two holes. Through one of the holes a glass tube is fitted which connects the flask to a trough containing red litmus solution. The other hole is fitted with a syrringe containing water. As water is injected to the flask through the syringe the ammonia is absorbed by the water and a partial vacuum is created inside the flask To fill up the vacuum, the red litmus solution is sucked into the flask where it turns blue as it comes into contact with un-dissolved ammonia. This experiment proves that ammonia is soluble in water.

The Equatorial areas of the world receive direct sun rays and heat up more than the polar regions which receive slanting rays of the Sun. The air in the equatorial areas become warm, lighter and rises up. Cold air from the polar regions try to fill up the areas of low pressure. This causes wind to blow.

Roasting is heating of certain ores in presence of air to get the parent metal-like HgS on roasting we can get Hg metal.

Calcination is heating of the ore to drive out certain undesirable volatile matters. 

General Insurance covers insurance all items from a "bullock cart to a satellite" against all sorts of eventualities. But it does not cover life of individuals. Life Insurance insurers individuals against loss of life and the benefit goes to the next of kin as specified by the Insured.

The 1857 upheaval was localised to a few states only-many states in South and West remained loyal to the British

The upheaval lacked a purpose and a direction. It also lacked an All-India leadership.

The British mobilised a large number of troops from other countries quickly and the Indian Sepoys were no match for them in terms of arms

Solids have fixed shape and size. Gases have no fixed shape and size, but occupies the entire space available. Liquids assume the shape of the vessel in which it is stored. This is because the intermolecular force of attraction is strongest in solids and the elast in gases and in between in case of liquids

The difference between the temperature of the body and that of its sorroundings and the rate of renewal of fresh air are two factors which affect evaporation. The other factors are surface area, the humidity, the property of liquid itself which is being evaporated and vapour pressure

A fuel is something which burns and gives out energy example coal, petrol, diesel etc

Sellers can attract buyers by good marketing, which comprises of sustained advertisement in the electronic and print media, door to door campaigns, attractive packaging, appointing celebrities as brand ambassadors, price discounts and loyalty bonus, after-sales-service etc etc.

Eastern Ghata are older in formation than the Eastern Ghats

Western Ghats receive more rainfall.

More diversity in flora and fauna in Western Ghats

Highest point in western ghats is Anaimudi and the highest point in Eastern Ghats is Mahendragiri

Western Ghats face the Arabian Ocean and the Eastern Ghats face the Bay of Bengal

1. Himadri 2. Himanchal and 3. Siwalik

The vegetable oils are converted to solid fats by the process of Hydrogenation

In a monopoly there is only one manufacturer of a particular product in a market place. Hence he can dictate the price.

In a competitive market there are many producers and hence the price is dictated by the universal law of Supply and Demand.

The theory of plate techtonics states that the continents are floating on the outer layer of the earth like slabs of ice on a lake. The continents continuously drift-in other words move. In the ancient times, many many million years ago there was one super continent called Gondwanaland. This super continent broke up and has been moving away from each other and thus the seven continents that we see have been created.

Blood supplies the essential nutrients to all cells in our body, the white blood cells protects us from infection.

A solid has fixed shape, size and volume. The force of inter-molecular attraction is highest in case of solids. Almirah is build from solid steel plates. Hence it is a solid.

Gases diffuse faster than liquids

Cottage Industries are small-scale industries

Public sector enterprise is an enterprise or an industry set up by the state government or the central government.

A Private sector enterprise is set up by a private individual (sole proprietor) or may be by a group of private individuals who form a Company for that purpose with limited liabilities.

Banks were established for the sole purpose of dealing with money-for accepting deposits from the general public, pay interest to them and invest money judiciously in shares and other areas to make reasonable profit. 

The basic purpose of setting up Post Offices was differnet. It was set up to provide a channel of reliable communication between members of the general public. Post Cards, Inland letters were the vehicles created for this purpose. Over the years people wanted to use this reliable Office to send and receive money from their near and dear ones. Later Post Offices, because of their formidable reach all across the country, were also permitted to accept money from general public and pay interest to them like a financial intermediary. 

An actual green house is covered to see that heat is not lost. The earth has started behaving like a large green house as gases like CO2 and to some extent Methane and Nitrous Oxide trap the heat produced by burning fossil fuels etc. As a result the earth is getting heated up. It has been said that a 2degree centigrade in surface temperature of earth will cause catastrphies like melting of the polar cap of ice, inundation of areas near seas and cause devastation.

anterior pituitary gland

Falls can be prevented by ensuring that the floors are not slippery, the stairs are not dark, there are hand rails on both sides of the staircase.

Fire can be prevented by being careful while working with the LPG burners, switching off gas cylinders while leaving the house, etc

These are called "Duns"

There are 4 major steps in the Management process:

1. Planning

2. Organizing

3. Leading

4. Controling

Shiwaliks

2 hours

Advantage-No fuel cost, No environmental pollution

Disadvantages-Does not work at night or during rainy season, Slow process, 

Jupiter, Saturn, Uranus and Neptunes are called Jovian or Jupiter-like planets-they are basically balls of fire.

Earth, Mercury, Venus and Mars are called Terrestrial or Earth-like Planets- they have a hard rocky exterior

Inversely, in other words the field strength reduces as the radius increases

The Field Strength increases as the current increases

The magnetic field strength varies directly with the number of turns of wire. It increases as the number of turns increases.

Vasectomy for men and Hysterectomy for women

Frequent pregnancy contributes to population explosion. It also affects the health of the mother. 

Barrier method comprises of use of condoms by men and use of cervical cap by women.

Birth control pills come under chemical method of contraception. The efficacy is some times not 100%

Photosphere is the visible surface of the sun

Iron mainly occurs naturally as Ferric Oxide Fe2O3 and Ferrous-Ferric Oxide Fe3O4

Fluro-carbon polymers

Methane

Sailors used to come to India from distant countries using this ocean and so in due course of time it was referred to as Indian Nation

There was a growing political class of rich men or Bourgeoise who wanted to defy the autocracy and super luxurious ways of the Monarch Louise XIV, who said and believed that "I am the state". After him Louis XV was no better but he could see that France was going to be bankrupt and said "After me the deluge". There were some political and social thinkers like Rousseau who championed the cause of a revolution by statements like "Man was born free but everywhere he is in chains" 

Air filtration. Electrostatic precipitation, wet scrubbing are some of the methods use to remove suspended particles from air

Sublimation is a process when a solid directly changes its state from solid to gas without going through the liquid state. Example camphor or dry ice.

Steam has more heat energy than boiling water because it requires Latent Heat of Vapourization for boiling water to change phase from liquid to vapour. Therefore our body comes in contact with more heat when exposed to steam than boiling water. Therefore steam causes more severe burns

Water is removed by spinning technique

Water is allowed to settle down in large tanks. Coagulants and flocculants are used for expediting settling down process. In some instances stone bed-sand bed filtration is done. Chlorine is used for disinfection. 

Arabian Sea

Indira Point in the Nicobar islands

It becomes unsaturated and some more solutes can be added

French philosphers played a very important role. People were attracted by their pro-democratic and anti-authoritarian sayings.Rousseau pleaded for civil liberties and famously stated that "Man was born free, but every where is in chains". There were others like Voltaire and Montesquieu. 

Mirage is an optical illusion. In deserts the sun light heats up the layer of air just above the sand and it becomes thinner. The layers above are comparatively denser and denser. This causes light waves to bend due to refraction. To an observer at a distance a det tree may appear to have an inverted shadow just below it. He concludes that there must be a pool of water in which the tree is getting reflected. This is called mirage. In some rare cases miage can develop on hot and dry weather in highways too.

Water starts boiling at a temperature lower than 100 C in hill stations where the atmospheric pressure is lower than that at the sea level. In other words water at say 90 C will change its state from liquid to vapour if the sorounding pressure is decreased. The reverse is also true as we have seen in case of pressure cookers. Thus pressure affects the state of matter.

Paleo-Tethys Ocean

Silica sand, soda ash, limestone, dolomite and Feldspar at carefully cleaned, mixed in the right proportions and fed to a furnace at 1500 C to make glass. The next processes are floataton, adding coloring agents and cutting to size

Andaman and Nicobar islands

Land. Labour. Capital. Entrepreneurship are called the factors of production

Amniotic sac

USSR was impoverished and food prices were soaring high on account of totally unproductive capital expenditure in space race with USA. Gorbachev the last President tried to experiment with Glasnost and Perestroica (Freedom of speech and Transparency). But it back fired. There was a short-lived Revolution led by his opponents. That fell through because the Army was not with the opponents. States began to declare independence one by one. Later Gorbachev had to declare formation of a losely knit Commonwealth of Independent States in place of the erstwhile USSR. 

Gitam University

The main ojective of buying or purchasing is fulfilling some need, desire or want.

Human needs are unlimited but the basic needs are Food, Clothing  and Shelter. When we buy food, dress or a place for residence these basic needs are fulfilled. After the basic needs have been fulfilled, higher order needs as per Maslow's Hierarchy comes in to effect and we start buying for servicing those needs.   

Precipitation will take place

One way would be to add a little more of the solute to the solution. If there is no precipitation, the earlier solution was not saturated. If there is precipitation or the solute added collects at the bottm, the solution was saturated.

There is no fat in skimmed milk

.doc or .docx

Central Processing Unit

Micro Soft Disc Operating System

The Hardware comprises of the CPU, The Key Board and the Display Screen, the mouse etc. The software comprises of the Operating System, the Programs etc which run the system.

In Mathematics, Infinity is one divided by zero (1/0)

120

Total male inhabitants is 60% of 1000 = 600. So total no of females = 1000-600 = 400

Out of the males 20% are literate or 600 x 20/100 = 120 are literate.

Total literates in the village = 25% or 250.

So number of females who are literate = 250-120 =130

So percent of females who are lterate is 130/400 = 33%

Let his cost price be x

He made 4% loss, so his Selling Price must have been x - 4/100 x = 0.96 x

Then he increased selling price by Rs 75 and made 2.5% profit

So 0.96x + 75 = 1.025x

Or 0.065x = 75 In other words x = 75/0.065 = 1153.

On selling at Rs 1200, he makes a profit of (1200-1153)/1153 = 0.04 or 4%

Cost Price of the first I-pod be x. He makes 20% profit. So selling price 960 = (1+0.20)x , which gives x = 800

Cost price of the second I-Pod be y. He makes 4% loss. So 1152 = (1-0.04y) , which gives y = 1152/0.96 = 1200

So combined cost price = 800 + 1200 = 2000. Combined selling price = 960+1152= 2112. 

So he makes a Profit of (2112-2000)/2000 = 0.056 Or 5.6%

Since the relative density of ice is given as 0.9 with respect to water, 90% of the ice floats below the water surface and only 10% floats above the surface of water.

In this case therefore only 10% of 5m or 0.5 m of the ice block will float above water. Hence the minimum length of rope required will be 0.5 m to reach the water mathematically speaking... (but certainly you would require a little bit longer rope to tie it up with the bucket and a little bit of rope for holding the free end). 

If we define efficiency as the speed of doing work, Seva is more efficient because she takes less time (16 days) to finish the work whereas Ava is less efficient because she takes more time (20 days)

The ratio of their efficiencies is Ava : Seva = 16:20 Or 4:5 You can also say that Seva is 20% more efficient than Ava.

You can also chech the answer by finding that in 1 day Ava does 1/20 of the job whereas in 1 day Seva does 1/16 of the job.

Hence the ratio of efficiencies of Ava/Seva = (1/20)/(1/16) = 16/20 or 4/5

Total age of all the 15 persons is 29 x 15 = 435 years

Total age of two persons is given as 2 x 55 = 110 years

Therefore the total age of the other 13 persons is 435 - 110 = 325 years

Hence the average age of these 13 persons is 325/13 = 25 years

Let the number be x

So 28% of the number should be 0.28 x

Kaveri incorrectly wrote the answer as 82% of x or she wrote 0.82x

The fifference between the actual answer and Kaver's answer = 0.82x - 0.28x = 0.54x

It is given that 0.54x = 540

Therefore x = 540 / 0.54 = 54000/54 = 1000

Hence the number is 1000 and the correct answer should have been 28% of 1000 = 280. 

The distance covered in the 4th second = (The distance covered in 4 seconds) - (The distance covered in 3 seconds)

We can use the formula s = ut + 1/2 gt^2 . In this case of free fall, u = 0 and g is given as 10 m/s/s

So our formula becomes s = 5t^2, where t is the elapsed time in seconds

Hence we get distance covered in 4 seconds = 5 x 4^2 = 80 m and

Distance covered in 3 seconds = 5 3^2= 45 m

So the disctance covered in the 4th second = 80-45 = 35 m Ans

Whereas Concrete Cement is composed of Cement, Sand and Stone Chips in case of Reinforced Concrete, in addition to all these steel rods are used, generally in the form of a cage or a box connected up with small diameter steel wires to make the concrete stronger

Nitrogen prevents the fruits from coming in contact with oxygen of the air. Fruits deteriorate in freshness and quality due to oxidation when in contact with air.

Vigorous reaction results, Hydrogen is given out as a gas and white sediments of calcium hydroxide precipitates

Ca + 2H2O = Ca(OH)2 + H2

The equation of the line QR is 2x+y = 3

So we get y = 3 for x = 0 and y = -1 for x = 2 as well as y = 1 for x =1. We can plot this line QR.

We can also plot the point P for which x = 2 and y =1

It is given that the triangle is isoscelles and right angled at P

We now find on drawing the triangle that PQ is a horizontal line with equation y=1     Ans

We also find that PR is a vertical line whose equation is x =2      Ans

In this case as the elevator is going upwards with an acceleration of 1.2 m/s/s and the acceleration due to gravity is 9.8 m/s/s, the net acceleration on the bolt, a is (9.8-1.2) = 8.6 m/s/s downwards.

As the bolt falls from rest its initial velocity u =0. The distance of fall, s is given as 2.7 m

We use the formula s = ut -1/2 at^2 and get

2.7 = 0xt - 1/2 x 8.6 x t^2 

This gives t^2 = 2.7/4.3 = 

In this case as the elevator is going upwards with an acceleration of 1.2 m/s/s and the acceleration due to gravity is 9.8 m/s/s, the net acceleration on the bolt, a is (9.8-1.2) = 8.6 m/s/s downwards.

As the bolt falls from rest its initial velocity u =0. The distance of fall, s is given as 2.7 m

We use the formula s = ut -1/2 at^2 and get

2.7 = 0xt - 1/2 x 8.6 x t^2 

This gives t^2 = 2.7/4.3  Or t = 0.79 seconds Ans

Light travels fastest at a speed of c m/s in vauum

It slows down in other denser media depending on the refractive index of the denser media.

In this case we have glass as a dense medium whose refractive index is given as n.

Let vg be the velocity of light through glass. Then vg/c = 1/n. Or vg = c/n

Time of travel through the glass plate of thickness t will be distance / velocity

In this case time taken by light to pass through the plate of glass, tg = t/vg = t/(c/n) = nt/c   Ans

Let Cost Price of the 1st article be x. So (91-x)/x = 0.1667. This gives x = 78

Let the C.P. for the 2nd article be y. So (91-y)/y = -0.125. This gives y = 104

Total Cost Price for the two articles is 78 + 104 = Rs 182

He sold the two articles for Rs 91 x 2 = 182. Hence there was no profit or loss in the transaction Ans

Let the money received by Tuhin,Sushant and Rita be 3x,5x and 7x respectively

Given that 7x-5x = Rs 4000. This gives x = 2000

Hence money received by Tuhin = 3x = 3 x 2000 = Rs 6000 and

the money received by Sushant = 5x = 5 x 2000 = Rs 10000

Therefore the total amount received by Tuhin and Sushant together = 6000 + 10000 = Rs 16000

It will help if you make a sketch. Dinesh start from Position A. He goes to right 100 KM. He reaches pount B. Then he goes North or vertically upwards in your drawing 80 KM, He reaches point C. He turns left and goes 40 KM to reach point D.

We want to find the distance AD. We see from the drawing that horizontally (towards East) he is 60 KM away from starting point A and vertically (towards North) he is 80 KM away.

Applying Pythagorus Theorem, he is Sqrt (60^2 + 80^2) = 100 KM away from the starting point... Ans

A sketch will help if you make.

North in your sketch is upwards. Reba walks 4 km upwards from starting point A.He reaches pount B. Now he turns left and walks 3 KM to say point C. To find the distance AC. 

AC^2 = AB^2 + BC^2 by Pyhagorus theorem . So AC^2 = 16+9 = 25. That gives AC = 5 km    Ans

Five years ago the average age of a family of 5 was 27 years

So the current average of the family is 27 + 5 pr 32 years and ther total age of the 5 members = 5 x 32 = 160.

Now the sixth person joins and the average age increases from 32 to 36 for the 6 persons. Total age now = 6 x 36 = 216

Therefore the age of the new member is 216 -160 = 56 years  Ans

The ratio in which the sweets were distributed between A and B = 3:4.

Let A get 3x sweets and B get 4x sweets.

Given 3x = 36. So x = 12. Therfore B = 4x = 4 x 12 = 48

So the total number of sweets = 36 + 48 = 84    Ans

The bomb can be thought to have a free fall in the vertical direction.

Using the formula v = u + gt , the vertically downward velocity would be 0 + 10 x 10 = 100 m/s

The bomb has a horizontal velocity of 500 m/s, the same as that of the plane

Hence the angle that the resultant velocity that the bomb will have at the moment of striking the ground = tan inverse 100/500 Or tan inverse 0.2. Or 11.31 degrees with the horizontal   Ans

Distance = Speed x Time

So in this case the distance = 120 m/s x 3 seconds = 360 m

Time = distance/Speed

So when the ball moves at 100 m/s, 

The time taken will be 360/10 = 3.6 s      Ans

RELATIVE REFRACTIVE INDEX OF DIAMOND WITH RESPECT TO WATER

=(Absolute Refractive Index of Diamond with respect to Air) / (Absolute Refractive Index of Water with respect to air)

= 2.41/1.33 = 1.80   Ans

Refractive Index of a medium is the ratio of the speed of light in vacuum to the speed of light in the given medium.

12 x 6 x 2.45 = 176.40 cc

Velocity of the body v = u + at = 0 + 5 x 5 = 25 m/s

So Momentum = Mass x Velocity = 1000 x 25 = 25 000 kg m/s     Ans

The Torque usually applied by John = 50 N x 1 m = 50 Nm

The same Torque may be obtained by a force of 25 N applied at the edge of the door which is 2 m wide since 25 N x 2 m  is also equal to 50 Nm

Hence the minimum force required to open the door is 25 N   Ans

Initial speed of the truck, u = 30 m/s

Final speed of the truck v = 60 m/s. This speed is attained after 1 miute = 60 s

Applying the firmula v = u + at we get 60 = 30 + a x 60 That gives a = 0.5 m/s/s

Now we apply the formula v^2 = u^2 + 2 xa x s 

So 60 x 60 = 30 x 30 + 2 x 0.5 x s

That gives s = Distance travelled in the time interval = 3600 -900 = 2700 m Or 2.7 km   Ans

Force = Mass x Acceleration

Here Force = 25 kg x 5 m/s/s = 125 kg m /s/s = 125 N

Newton's First Law of Motion states that every body continues to be in its state of rest or of uniform motion in a straight line until and unless it is compelled to change the state by an external unbalaced force. 

The car would have continued to move with an uniform velocity in a straight line but for the force of friction from "the rough horizontal road" surface, which acts upon the car in a direction opposite to its direction of motion. 

So the car will slow down and will eventually stop due to the retarding force of friction.

Power = Force x distance/Time

In this case Power = 120 x 10 x 7 /5 = 1680 J/s

6000 kg/min means 100 kg/s So Power = 100 x 10 x 100 = 100,000 W = 100 kW

Fertilizer Industry

Insulin

The primary colours of light are Red, Yellow and Blue

When all the 48 cells of internal resistance 1 ohm each are connected in series and the external resistance of 3 ohm is also connected in series the total resistance would be 48+3 = 51 ohms. The cells when connected in series would be equivalent to a total voltage of 96 V. Hence the current in the circuit would be 96/51 = 1.88 Amps

When all the cells are connected in paralel and the external resistance is also connected in parallel, the equivalent voltage will be 2V and the equivalent resistance would be given by 1/R = 1/1 + 1/1 +....48 terms + 1/3 = 4/3. This would give equivalent resistance R = 3/4 ohms. The current through the circuit would be 2/(3/4) = 2.66 Amp

Therefore I should connect everything in paralel to get maximum current through the external resistance......Ans

We have from Snell's Law Sin i / Sin r = Refractive index

In this case Sin 30/Sin r =  1.5 .

Sin 30 is equal to 0.5

So Sin r = 1/(2 x 1.5) = 1/3 = 0.33

Therefor r = angle of refraction = sin inverse 0.33 = 19.3 degrees...........Ans

Centripetal Force = mass x (angular velocity)^2 x r 

                          = 5 kg x (2)^2 x 2 m = 40 N                 Ans

First we use the formula v = u + gt

So we get v = 0 + 10 x 4 = 40 m/s

Then we use this v to get the height of the tower, h using the formula v^2 = u^2 + 2 g x h

Or 40^2 = 0 + 2 x 10 x h 

This gives h = 1600/20 = 80 m     Ans

Here Np = No of turns in Primary = 200

And Ns = No of turns in secondary = 400

We know Np/Ns = Vp/Vs

So 200/400 = 110/Ns Therefore Vs = 2 x 110 = 220 V

Also Vp X Ip = Vs x Is

So 110 x 10 A = 220 x Is.   This gives Is = 1100/220 = 5 A   Ans

Let the object move horizontally whereas the Force of 7.5 N works at an angle of 60 degrees to the horizontal

So work done = F cos 60 x 6 m = 7.5 x 0.5 x 6 = 22.5 kg m = 22.5 J    Ans

Work done = mgh = 60 x 9.8 x 10 = 5880 J

This work was done in 10 s

So Power = Work Done per sec = 5880 /10 = 588 J/s = 588 W    Ans

Energy can neither be created nor it can be destroyed, only it can change form.

The ball has an initial Potential Energy of 1000 J on the terrace but zero Kinetic Energy since it is at rest.

When it falls to the ground, the moment before it touches the ground its potential energy becomes zero but its Kinetic Energy becomes equal to 1000 J due to its velocity.

Main constituents of Stainless Steel besides Iron are Chromium and Nickel

Carbon reacts with the iron ore in stages of the Blast Furnace to produce pure Iron and Carbon dioxide. It also acts as a fuel for the blast furnace. Limestone is added as a flux in the process which combines with the impurities like sulphur in the ore and removes them as slag which floats above the molten pure iron 

Iron occurs in the nature as Hematite (Fe2O3), which is brownish and is of the best quality having iron content of 70% and Magnetite (Fe3O4) with Iron content 60 to 70%. Hematite is mostly available in Odisha-Jharkhand area whereas Magnetite is available in Karnataka-Andhra area.

Iron does not occur in the nature as pure iron because it readily combines with the oxygen in the air to become Fe2O3 or Fe3O4.

The consequence is Total Internal Reflection, which means that when the angle of incidence is more than the critical angle for the particular denser medium, the ray of light does not come out of the denser medium and gets reflected back inside it.

The shape of our galaxy is spiral

Traditionally Strategic Metals have been defined as metals required for defence of a country like Antimoy, Beryllium, Cobalt, Gallium, Indium, Magnesium, Niobium, Platinum, Rare Earths, Tantalum and Tungsten but in the current electronic age the list includes Neodymium, dysprosium and terbium which are used to make smart phones, batteries essential for consumer electronic industry also.

The process used in nuclear reactors is called nuclear fission. This takes place when an Uranium atom splits into Neutrons and Protons releasing tremendous heat. This heat is used to boil water to make steam which runs a turbine to produce electric power

There are two forces which keep the Sun and its planets in place.

1. Gravitational Force of attraction works between any two bodies in the universe as per Newton's famous formula:

F = G m1m2/(d)^2, where m1 and m2  are the masses of the two bodies, d is the distance between their centres and G is the Universal Gravitational Constant.

2. The Centrigugal Force created due to the tremendous speed of rotation of the planets.

These two forces create a resultant force which creates an unique orbit for the rotation of each planet. The lighter of the two objects rotates about the heavier object. The sun being 1000 times more massive than the heaviest planet Jupiter (which is 300 000 times more massive than the Earth) all the planets rotate around the sun.

Chlorophyll B and accessory pigments

The total of his earnings for the last 6 months = Rs 47400

For his 7-months earning to average Rs 8300 his total earnings for 7 months must be 7 x 8300 = Rs 58100 

So his revenue of the 7th months should be 58100 - 47400 = Rs 10.700   Ans

Leaf :Wood :: 3:4 This also means L:W = 12:8

Forest : Leaf :: 5:4 . This also means F:L 15:12

In other words we can say Leaf : Wood : Forest = 12: 8: 15

Total no of shares 35 x = 1400

Or x = 40

Then Leaf's share = 12x = 12 x 40 = 480    Ans

Bhola can do 1/20 part of the job in 1 day, Saheb can do 1/30th part of the job in 1 day.

Working together they complete 1/20 + 1/30 = 1/12 part of the job in 1 day

They fininsh the job in 12 days and get Rs 3840.

Therefore they will charge Rs 3840/12 = Rs 320 per day      Ans

Ajay can do 1/20th part of the job in 1 day

Varun can do 1/18th part of the job in 1 day

Working together they do 1/20 + 1/18 = 19/180th part of the job in 1 day

In 5 days working together, they do 5 x 19/180 = 19/36th part of the job.

After 5 days (1- 19/36) = 17/36 th part of the job will be left out.   Ans 

Stainless Steel does not get corroded like its main constituent Iron. This property is due to the main alloying element of stainless steel viz. Chromium 

When a ray of light travels from a denser medium like glass to a rarer medium like air "Refraction" takes place. The refracted ray bends away from the normal at the point of incidence and tilts closer to the line of separation between the denser and the rarer medium. If the angle of Incidence is kept on increasing, the refracted ray comes closer and closer to the separation line. When the angle of incidence is at a certain value, the refracted ray just grazes the line of separation between the denser and the rarer medium. If the angle of incidence is increased further, the refracted ray does not come out into the rarer medium at all and gets reflected back into the denser medium. This limiting value of the angle of incidence beyond which therebis total internal reflection is called the Critical Angle for the specific pair of media

South West

First mason does 1/20th of job in 1 day

Second mason can do 1/30 th of the job in 1 day

So together they do in 1 day 1/20 + 1/30 = 1/12 th of the job

Assume that they had worked together for x days, completed x/12 th part of the job

Second mason in 12 days can do 12 x 1/30 = 2/5 th of the job . So 1- 2/5 = 3/5 th of the job was done jointly

Equating we get X/12 = 3/5 Or x = 3x 12/5 = 7.2 . Hence the two masons had worked together for 7.2 days.   Ans

(1) Let us take x litres from container A and y litres from container B and mix

So it will have Alcohol content of 4x/7 + 2y/5 litre in its volume of x + y litres

It will have water content of 3x/7 + 3y/5 litres in its volume of x + y litres

Given that 4x/7 + 2y/5 = 3x/7 + 3y/5 because in the resultant mix water and alcohol content are equal

Or (20x + 14 y) / 35 = (15x + 21 y) / 35

Or 5x = 7y by transposition 

So the required ratio  x/y = 7/5             Ans

So the proportion of mixture should be 

Depreciation is 7% per year

Initital value Rs 80000. Depreciated Value at the end of year 1 = 80000-1.07x 80000 = 74400

Value at the end of year 2 = 74400 - 74400 X 0.07 = 69192

Value at the end of year 3 = 69192-0.07 x 69192 = 64348.56

Value at the end of year 4 = 64348.56- 0.07 x 64348.56 = 59844.16

Value at the end of year 5 = 59844.16 - 0.07 x 59844.16 = 55655.07                 Ans

The initial velocity of the car be u m/s

Final velocity of the car = 0

Time to stop 10 s

Applying the formula v = u - at we get 0 = u - 2 x 10 which gives u = 20 m/s     Ans

HT side Power = Vp x Ip = 220 x 5 = 1100 W

LT side Power = Vs x Is = 11 x 90 = 990 W

Loss = 1100-990 = 110 W Or 110/1100 = 10%

Efficiency = 100-10 = 90%

CO-EFFICIENT OF PERFORMANCE = HEAT OUT / WORK IN

In this case 4 = 2000 / Work In 

So Work In (Done by the Motor) = 4 x 2000 = 8000 calories

Given A in 1 hr can do 1/4 th of the job

Given A + C in 1 hr can do 1/2 of the job.

So C alone in 1 hr can do (1/2) - (1/4) = 1/4 th of the job

Given B + C in 1 hr do 1/3 of the job

So B alone in 1 hr can do (1/3) - (1/4) = 1/12 th of the job

Hence Bijay can finish the job alone in 12 hrs

When a train passes an electric pole, it crosses its own length and given that it takes 10 seconds.

When the train crosses a platform it crosses its own length plus the length of the platform and it takes 20 seconds

So clearly the train takes this additional 20-10 = 10 seconds to cross the length of the platform which is 130 m.

So its speed = 130 m in 10 s Or (130/10) x 3600 = 46.8 km/hr

The train takes 10 s to cross the electric pole, which means it takes 10 secons to cross its own length also.

So the length of the train = (46800/3600 ) x 10 = 130 m      Ans

Let Prasun travel a distance d in his forward journey at 50 kmph. Time taken by him = d/50 

He retuns in such a speed that the average speed for travelling the entire distance 2d is 60 kmph. Time taken = 2d/60.

Therefore time taken for the return journey = (2d/60) - d/50 = d/30 - d/50 = 2d/150

So speed for the retun journey = (d) / ( 2d/150) = 75 kmph                  Ans

Pipe B and F together can fill in 1 hr (1/10 + 1/15) or 1/6 th of the tank

When the drain pipe M is also open it takes 30 hrs to fill the tank. Let us assume that the pipe M can empty out a full tank in m hrs

So we get when B + F and -M are all working, the tank level is rising (1/6 - 1/m) per hour

Given that in that condition the tank fills up in 30 hrs. So (1/6 - 1/M) = 1/30 

Or 1/M = 1/6 - 1/30 = 4/30

So independently the pipe M can enpty a full tank in 30/4 Or 7.5 hrs

Let us express every thing in centimeters

The volume of a brick = 25 x 11.25 x 6 = 1687.50 cm^3

The volume of the wall = 800 x 600 x 22.5 = 1080,0000 cm^3

So, no of brick required = (10800000) / (1687.50) = 6400 bricks    Ans

Cost Price of the TV be  Rs x

Given (1800 - x) / x = - 0.10x

This gives 0.9 x = 1800 Pr x = Rs 2000

Next if he sold at Rs 2500, he would have made a profit of Rs 2500 - Rs 2000 = Rs 500

So his Profit would have been (500/2000) x 100 = 25%        Ans

After the first discount his purchase price = 32800- (0.1 x 32800) = Rs 29520 

After the second discount his purchase price = 29520 - (0.1 x 29520) = Rs 26568   Ans

Sujata can do in 1 day 1/18 th of the job.

When she works with Balram, she gets to work for 12 days. So she completes (12 x 1/18) or 2/3 rd of the job 

We can think that Balram completes the remaining 1/3 rd of the job in 12 days.

So Balaram would take 36 days to do the job alone    Ans

What Kajal can do in 12 days, Simran will take 48 days for doing that job, because Kajal is 4 times more efficient than Simran..

What Simran can do in 48 days, three times more efficient Bidesh will do it in 48/3 = 16 days

What Bidesh does in 16 days, twice more efficient Anita will take 16/2 or 8 days to do it          Ans

Let the distance be d

So time to go up = d/24.

And time come back = d/36

So total time = d/24 + d/36 = 5d/72 hrs

The total distance travelled = 2 d

So the Average speed = 2d / ( 5d/72) = 144/5 = 28.8 kmph       Ans 

Purchase price = 200 x 50 = Rs 10000

Marked Price with a view to make 20% profit = 10000 x 1.2 = Rs 12000

Discounted price = 12000 - (0.10 x 12000) = Rs 10800

Final Selling Price = Rs 10800 / 200 = Rs 54 per kg     Ans

The first, the second and the third partners are to share the losses 2x :1x :3x

Total is 6x. Given that 6x = 36,00,000

So x = 6,00,000

Hence loss to be shared by the third partner = 3x = 3 x 6,00,000 = Rs 18,00,000   Ans

Let age of Keya = x

Then age of Subhra = 4x

As per question ageof Manas = 4x + 3

Total age of all = 9x + 3 = 30

This gives x = (30-3) / 9 = 3

So ageof Subhra = 4x = 12 years     Ans

Raja has so far passed 20% of 50 tests or he has passed 10 tests.

Supposed he has to pass x more tests to get the average score of passed tests to 60%

ZzSo by the question (10  +x ) / (50 +x ) = 60/100

  Or.  X  = 50 . So Raja hasto take 50 more tests and pass in all of them

Efficiency of Carnot Engine = (Th - Tc) / Th 

Given, in the first case (Th - 300) / Th =  0.40

This gives Th = 500 K

In the second case To find Th such that the efficiency increases by 50% or it becomes 40% + 40% x50/100 =  60%

So we have them (Th - 300) / Th = 0.60

This gives Th = 750 K

So temperature of source is to be increased by (750 - 500 ) = 250 K    Ans

Bharat + Pratul + Ganesh earn Rs 150 per day

Bharat              + Ganesh earn Rs 94 per day

So Pratul earns      150  -  94  = Rs 56 per day

Now Pratul + Ganesh earn Rs 76 per day

So Ganesh earns (Rs 76 - Rs 56) = Rs 20 per day

The speed of boat is 4 kmph and speed of stream is 2 kmph

So, while going upstream the speed will be 4-2 = 2 kmph and while coming downstream the speed will be 4+2 = 6 kmph

Let the distance be d km

So the time taken will be d/2 + d/6 = 4d/6 or 2d/3 hrs

Given 2d/3 = 4 hrs

So d = 4 x 3 / 2 = 6 km...............Ans

The probability of the spotting a defective machine in the first test itself is 2/4 Or 1/2.

The question does not clearly specify if the defective machine was again mixed up with the others before drawing the second lot.

I assume that having found a defective machine no body would again mix it up with the others. In that case we have 3 machines to test and one of them is defective.

So probability of finding a defective machine in the second test is 1/3

Hence the probability of finding a defective maching in the first test AND the probability of finding another defective machine in the second test is 1/2 x 1/3 = 1/6                    Ans

Making a rough sketch will help.

Kalyan starts by going towards NE for 40 m. The he proceeds towards East and goes 25 m. Then he turns SE and goes 40 m. Now he turn West and goes 7 km. So he would now be facing West      Ans

The filling tap in 1 hr can fill 1/2 of the tank.

The draining pipe can in 1 hr empty out 1/3 of the tank.

The two together in 1 hr can fill the tank (1/2-1/3) = 1/6th of the tank

So when both are turned on, the tank will fill in 6 hrs   

Lety the distance be d km and his normal speed be v kmph

So the normal time he takes is d/v hrs

When he drives at 4/5th of his usual speed he drives at 0.80 v and time taken would be d/0.8v = 1.25 d/v, which is 18 minutes or 0.3 hrs more than his usual time

By the question, 1.25 d/v= (d/v) + 0.3

This gives  Or 0.25 d/v = 0.3

Or d/v = 0.3/0.25 = 1.2 hrs or 72 minutes                         Ans

We can write sec 55 as 1/(cos (55)

That gives cos (90-y) / cos 55 = 1

Or 90-y = 55

Or y = 90-55 = 35   Ans

Since Mode is the most commonly occuring number and is given as 2 and there are are no other 2s in the series, 

3x-10 = 2 which gives x = 4

and 4y+6 = 2 which gives y = -1

So x + y = 4-1 = 3    Ans

We have a + b = 18 and 5a-4 = c

That gives a + b + c = 18 +5a -4

Or b+ c = 14 + 4a

So mean of b and c = 7 + 2a  Ans

Arranging in ascending order the series is 1,2,3,3,3,3,3,4,5,5,7,9

So mean = total by no of items = 48/12 = 4

and median is the average of numbers at the middle = (3+3)/2 = 3

Efficiency is how fast one can do a job.So S is more efficient because he takes 16 days to do a job than A, who takes 20 days for doing it.

Ratioof their efficiencies A: S : : Work done by A in 1 day : Work done by S in 1 day = 1/20: 1/16 = 16: 20 = 4 : 5 Ans

C Satellite communication

D Existence of electrons can be demonstrated by experiments but existence of ghosts cannot be

D Invention of steam engine

D Newton's Second and third laws of motion

B        JC Bose

C  Strong nuclear force

B      Becquerel

D   Niels Bohr

The width of the river is 25/(tan 45) + 25/(tan 30) = 25 + 25/0.577 = 25 + 43.3 = 68.3 m   Ans

Speed is not a vector 

B  Strain is dimensionless

Incomprehensible means some thing we can not understand.

Einstein marvelled that the universe is not so. We can see that every heavely body has a very understandable relationship with every other celestial body. So we can comprehend the universe because every thing follows certain laws and nothing behaves randomly.

This could easily have not been so. That is the marvel for Einstein.. It is such a comptrehensible thing even though it is so huge.

B   Morality is not the subject matter of science

B  = 30 degrees Ans

Height to be cleared = 400+ 50 = 450 m

Distance to be cleared = 778.5 m

So tan theta = 450/778.5 = 0.578

Tan 30 degrees = 0.578

Perimeter of the square being 44 cm, each side of the square is 11 cm and its area is 121 cm square.

So circumference of the circle is also 44 cm = 2 X 22/(7) x r . This gives r = 7 cm ans the area of the circle = 22/(7) x 7 x 7 = 154 cm sqare

So difference between the areas of the circle and the square = 154 - 121 = 33 cm sqare    Ans

C = 100 degree Ans

Join S and O. In the isosceles triangle QSO, Angle QSO = Angle SQO = 20 degree

similarly in the isosceles triangle RSO, Angle RSO = Angle SRO = 30 degrees

Hence Angle QSR = 50 and therefore Angle QOR, double of angle QSR will be 100 degrees

Let the train accelerate upto a distance of x m and then decelerate and stop after (1215-x) m

So at point x, velocity v is given by v^2 = 0 + 2 x 1 x x 

This velocity is retarded with a deceleration of 3 m/s/s. So 2x = 2 x 3 x (1215-x). This gives x = 911 m

So v^2 = 2 x 911 and that fives v = sqrt 1822 = 43 m/s

Since v = u + at, we get 43 = 0+1 x t pr t = 43 s

now for the decelerating journey 0 = 43- 3 x t Or t = 14 s 

So the total joyrney time = 43 + 14 = 57 seconds    Ans

Area of the vertical walls = 2 x 40 x 7 = 560 

Area of the dome = 22/7 x 5 x 40 = 628 .5

Cost of plastering = 5 x (560+628.5) = Rs 5942.50    Ans

TOTAL NO OF COINS = 70

No of ten-rupee coins = 20

So probability that a ten-rupee coin will fall = 20/70 = 2/7

No of five-rupee coins = 10

So probability that a five-rupee coin will fall is 10/70 = 1/7

Hence the probability that a five-rupee coin will not fall = 1-1/7 = 6/7   Ans

Let the height of the tower be x m and the separation distance between the cliff and the ower be y m

So tan 45 = 1 = 80/y. This gives y = 80 m

Also tan 30 = 0.577 = (80-x)/y = (80-x)/80 . This gives x = 33.84 m      Ans

Shopkeeper buys at 20% discount or at Rs 4000. ST paid by him = 5% on Rs 4000 =Rs 200

Selling price Rs 5000. ST paid by customer = 7% pn 5000 = Rs 350

So Value Added  Tax = 350 -200 = Rs 150

Area of triangle COA = 60 = (1/2) x 5 x AC. This gives AC = 24 cm

By proportionality, BD/AC = OD/OC

So BD = (OD/OC) x AC = (8/5) x 24 This gives BD =  38.4 cm

Area of triangle BOD = (1/2) x 8 x 38.4 = 153.6 sq. cm

Volume of the original hollow cylinder = 22/7 x 5 x (10 x 10 - 8 x 8)= 22/7 x 5 x 36 cubic cm.....(1)

Volume of one cone = 1/3 x 22/7 x 3 x 3 x 5 = 22/7 x 5 x 3 cubic cm.......(2)

Dividing (1) by (2) we get the number of cones = 36/3 = 12    Ans

Let the number of children be x

So [(6800/x) - (6800(/(x +9)] = 153

This gives x(x+9) = 400 

Or soving the quadratic equatuib x = 16                   Ans

Given x/y = 7/5 Or x = 7y/5

Also (x-2)/(y-2) = 3/2

So 2x-4 = 3y-6

Substituting 2 (7y/5) - 4 = 3y - 6

This gives 2 = (3y) - (14y/5 )

Or 10 = y

So x = 7y/5 = 14

So the speeds of cars A and B are 14 kmph ans 10 kmph respectively    Ans

Ans B   25%

By the question if the Principal is P and Rate of Interest is i %, we get (Pi/100) = 2000

For the second successive year, interest = (P + Pi/100) x i/100 = 2500   

Substituting (P + 2000) x i/100 = 2500

Or Pi/100 + 20 i = 2500

Or 2000 + 20 i = 2500

Or 20 i = 500

Or i = 25

Ans B   1728.57 square meter

Outer diameter of grassy lawn = 120 m and inner diameter is 100 m

So area = 22/7 X 1/2 x (60 x 60 -50 x50) = 1728.57    Ans

Simple interest for 2 years will be 40000 x 2 x 15/100 = 12000

Amount due after two years at 15 % per annum = Rs 52000

Compund interest for the first six months for six-monthly compounding for the third year = 52000 x 0.05 = 2600

Amount after 6 months - 52000 + 2600 = 54600

Interest for the second six months = 54600 x 0.05 = 2730

So amount due after third year = 54600 + 2730 = 57330 

So B  Ans

We use the formula s = ut -1/2 a t^2

So s = 15 x 60 - 0.5 x 0.3 x 60 x 60 = 360 m

So distance from signal would be 400 - 360 40 m

Ans A

Modifyng the formula s = ut+1/2at^2, we get height of the baloon = 0 xt + 0.5 x 1.25 x 8 x 8 = 40 m   

Ans 40 m

Total value of share = 200 x 15 = Rs 3000

Total dividend received = Rs 300

So rate of dividend = (300/3000) x 100 = 10%

Ans  B   10%

There are 4 aces in a pack. So the probability of the drawn card to be an ace is 4/52 = 1/13 

There are 26 black cards and 26 red cards in a pack. So the probability that the card drawn is not red is 26/52 = 50%

Lry d be the distance of the building from the foot of the hill

We can see from the sketch tan 30 = 50/d = 0.5773

That gives d = 86.61 m

Let H be the height of the hill

Again from the sketch tan 60 = H/86.61 = 1.7320

That determines the height of the hill = 1.732 x 86.61 = 150 m     Ans

Let d be the distance between the building and the tower.

We get tan 60 = 30/d = 1.732. This gives d = 30/1.732 = 1.73

Let H be the height of the tower above the height of the building

Now we also get tan 45 = 1 = H/17.32 = 1 This gives the dimension H = 17.32 m

So total height of tower = 30 + 17.32 = 47.32 m   Ans

C Ans

Distance is area under the curve = (1/2 x 20x1) + (20 x 1 + (10 x 1 + 1/2 x 1 x 10) + (10 x 1) = 55 m      B Ans

Let the distance he rows be d km away.

While going is his speed is (5 +1) km, then while returning his speed will be ( 5 - 1) kmph

In other words d/6 + d/4 = total time taken to return = 1.25 hr. This gives d = 5 km

Hence E Ans 

By simple division we get  Price in Rs per oz for W = 0.035, for X it is 0.03. for Y it is 0.28 and for Z it is 0.03 respectively.

So the least expensive brand is Y    Ans

Let the desired weight of the alloy containing 40 % gold be W

So    (0.40 W + 0.20 x 10) / (W + 100 ) = 0.32 

This gives W = 150 gms 

So the correct alternative is E   Ans

Ans B  = 3.52 kmph

He covers a distance of 2 x 22/7 x 35 in 15 mins

So in 1 hour he will cover (2 x 22/7 x 35 x 4) / 1000 = 3.52 km

Since the sides of the triangle are 12, 16 and 18 it is a right angled triangle. Its area = 1/2 x 16 x 12 = 96 sq cm

Let the angles of the areas grazed by the horses be x, y and z degrees. Then x + y + z = 180 degree

The areas grazed are 22/7 x 7 x 7 (x/360 + y/360 + z/360) = 22/7 x 7 x 7 x 180/360 = 77 sq m

The required ratio is 77/96 Or Alternative C

Ans A 

Alternative B

North is vertically upwards 10 KM, Coming vertically downwards 6 KM . So 4 KM to North from starting point

Then East is to the right 3 KM

Therefore he is SQRT(3^2 + 4^2)  or 5 KM from starting point and direction is northeast 

Initial velocity u = 9 due East

Acceleration a = - 2 m/s/s ( minus because acceleration is due West)

So distance covered in 5 seconds = 9 x 5 - 0.5 x 2 x 5 x 5 = 20 meters

Distance covered in 4 seconds = 9 x 4 - 0.5 x 2 x 4 x 4 = 20 meters

Hence there is no movement in the 5th second 

Correct Answer is option A = 0   Ans

Take an example

2 ^5 - 2^4 = 2x2x2x2x2 - 2x2x2x2x = 32-16 = 2^4

Hence 2^73 - 2^72 = 2^72

Now 2^72 - 2^71 = 2^71

Hence correct option is C = 2^71   Ans

There are 6 Blue and 5 Green pens.

So probability of choosing a Blue or a Green pen = (6 + 5 ) / 18 = 11/18

So probability that the selected pen is NOT Blue or Green is 1 - (11/18) = 7/18      Ans

The probability that a pen will be blue is 6/18 = 1/3

So the probability that a pen taken out is NOT Blue is 1 - (1/3) = 2/3        Ans

From the question

tan 60 = 30/d  , where d is the distance between the tower and the building

So 1.732 = 30/d or d = 30/1.732 = 17.3 m

Now tan 45 = h/d, where h is the hiight of the tower above the height of the building

So 1 - h/30 

That gives h = 30 m

So the total height of the tower = 30 + 17.3 = 47.3 m

So correct option is C   Ans

IMPULSE = CHANGE IN MOMENTUM = m x Change in velocity = 0.2 Kgx (( 30)m/s - (-20)m/s) = 0.2 x 50 = 10 Ns

Answer is Option A

Let the rate of interest be i % per annum

So the ineterst paid by B would be 5000 x 2 x i and the interest paid by C would be 3000 x 4 x i

Total interst received would be 22000 i which is given being = Rs 2200

So i = (2200/22000 ) x 100 = 10 per cent

So the correct anser is Option D

Let CPa and CPb be the cost prices of the items A and B

Given that CPb = CPa + 150

Also given that item A was sold at 1.1 CPa . Item B was sold at 0.8 CPb or 0.8 (CPa + 150)

By the question, 1.1 CPa / (0.8 CPa +120) = 11/12

This gives 13.2 CPa = 8.8 CPa + 1320, Solving we get CPa = 300

Therefore CPb = 300 + 150 = 450    Option A    Ans

No energy does not change because energy depends on the frequency and frequency remains constant during refraction of light from lighter to denser medium

Currently A = 2R and C = A +2

 2 years ago, (R-2) / (C-2) = 4/9 or 9R-18 = 4C-8

This gives 9 A/2 -18 = 4A + 8 - 8  Or A/2 = 18 

Hence A = 36. So A 's age 4 years from now will be 40 years   Option A

Let the man's age be x years

By the question 1.25(x-10) = 0.833 (x+10)

Solving (1.25-0.833)x = 8.33 + 12.5

Or x = 20.83/0.417 = 50 years   Ans

We have A + B = 12 + ( B + C)

So A = 12 +C

In other words C is 12 years younger than A    Ans 

The present work load of examining is 9 x 12 x 5 man-hr-days

The load will be doubled and the examiners would become 4 but the no of days available would be 30

So at that time the examiners must work  (9 x 12 x 5) / ( 4 x 30) = 9 hrs/day .....Ans

Let the distance of the point on the ground from the foot of the tower be x m and the height of the tower be t m

Then (18+t)/x = tan 60 = 1.73 and t/x = tan 30 = 0.577

Dividing, we get (18+t) / t = 1.73/0.577 = 3

So 18 + t = 3t, which gives t = 9 m.......Ans

Let the distance of the foot of the hill to the pole be x m and the height of the pole be p m

Then given (100-p) / x = tan 30 = 1/(root 3)

and 100/x = tan 60 = Root 3

Dividing we get (100-p) / 100 = 1/3  which gives 300-3p = 100 Or 3p = 200 Or p = 200/3 = 66.6 m    Ans

Let the distance from the point from which the elevation is 45 degree be x m

We have tan 45 = 1 = 60/x, which gives x = 60 

Let the distance of the other point be y m

So tan 60 = 1.732 = 60/y, which gives y = 60/1.732= 34.6 m

Hence the total distance between the points = 60 + 34.6 = 94.6 m

Let the distance between the foot of the ladder and the wall be x m

Then x/10 = cos 60 = 1.73/2  gives x = 8.66 m           Ans

Let PC be the Tower and A and B be two points to the right of C

Angle PAC = 60° So PC/AC = 600 /AC = tan 60 = 1.73

This gives AC = 600/1.73 = 346 m

Now 600/BC = tan 45 =1 = 600/BC

So BC = 600

We now get AB = BC-AC = 600 – 346 = 254 m

Hence the correct option is D     

Correct Option is C

Given that the velocity at the 2n second interval = v0  = a x 2n. This gives a = v0/2n

Displacement after n seconds is 0.5 a nxn 

Displacement after 2n seconds = 0.5 a . (2n) x (2n)

Subtracting, the displacement in the last second is 0.5 x a x (3n^2)

Replacing the value of a, we get the distance covered in last n second = 0.5 x v0 / 2n x 3 n^2 = (3/4) x v0 x n       Ans

tan 30 = 1/√3 = t/10√3 gives t = 10 m

so the total height of the tower = 10 + 2 = 12 m

Correct option is B

When the object falls through a height of h , its velocity is given by v^2 = 2 x g x h 

Hence its KE is 1/2 x m x 2gh = mgh

Given that it loses half of its KE on impact. So it rises with an initial KE of 1/2 mgh

So 1/2 mgh = 1/2 m u^2 where u is the velocity with which it rises. Or u^2 = gh

Now it will rise to a height of say s

So 0 = gh- 2 g x s and that gives s = h/2

This means that the object will rise to half of the height from which it fell after the first fall.

Similarly it will rise to a height of h/4 after the second fall and so on.

so the total distance covered will be h( 1 + 1/2 + 1/4 + 1/8+ ....)

In other words the total distance will be h (2) = 2h              Correct option is A

9 Engines 8 hrs each consumes 24 TPD

1 Engine, 8 hrs = 24/9 TPD

(3/4), 8 hrs = (24/9) x (3/4) TPD where the new type of engine consumes 3/4th coal

(1) , 8 = 24/9 x 3/4 TPD

(8), 13 = 24/9 x 3/4 x 8 x 13/8 = 26 Tonnes per Day     Correct option is D

The length of the rope = 2 x 22/7 x 14 x 70 cm

Let n be the number of turns it will go round a drum of radius 20 cm

So n = (2 x 22/7 x 14 x 70) / ( 2 x 22/7 x 20) = 49    Ans

Let the distances of the first hip which makes and angle of 45 degree with the top of the lighthouse be 30 degree be x

So 100/x = tan30 = 1/1.732. This gives x = 100 x 1.732 = 173 m

Let the other ship be at a distance of y m

So tan 45 = 1 = 100/y This gives y = 100 m

S0 the total distance between the two ships is 173 + 100 = 273 m

So the correct option is C

Let y be the distance between the vertical line connecting the planes and the point of measurement be y m

If the first plane is at a height of x above ground we have tan 45 = 1 = x/y

Since the second plane is at a height 900 m above ground we have tan 60 = 1.732 = 900/y

So y = 900/1.732 = 519 m

So the vertical separation between the planes is 900 - 519 = 381 m    Option A Ans

In the given situation tan x = 18/(6(root 3))

                                           = 1/(root 3) 

Hence the angle x = 30 degrees

Let the person be standing at a distance of x from each of the towers T2, the taller tower  and T1 the shorter tower

We have tan 22.5 = root2 -1 = T1/x . This gives x = T1/(root2-1)

We know tan 67.5 = cot 22.5 = 1/tan 22.5 = 1/(root2-1) = T2/x = T2/ (T1/root2-1) 

So T2/T1 = 1/ (root2-1) ^2= 1/(3-2root2) = (3 + 2root 2)       Ans

Let the distances of persons A and B be x and y from the tower which is 50 m high

Given tan 30 = 0.577 = 50/x. This  gives x = 86.65 m

Given tan 60 = 1.732 = 50/y. This gives y = 28.86 m

The total distance 115.5 m is crossed by the car in 10 seconds

So the car speed = 115.5 x 6 x 60 /1000 = 41.5 kmph     Ans

Resistance causes difficulty or hinderance to the flow of current from a higher voltage point to a lower voltage point. Resistance depends on

1. The length of the wire

2. The material of the wire, for example silver offers minimum resistance to the flow of current and iron more 

3. The temperature of the wire, more the temperature, more is the rsistance, at a very very low temperature some conductors become super-conductors and offer negligible resistance to the flow of current 

4. The cross-sectional area of the wire, strangely more the cross-sectional area less the resistance

In lay man's language current is the flow of electricity from a point at a higher potential to a point at lower potential.

Its SI unit is Ampere

D Limbic system

Incident Angle between the normal at the point of incidence = Reflected Angle at the point of incidence

It can be shown by a simple sketch by keeping the incident ray undisturbed and moving the mirror by an angle theta that the angle between the new reflected ray and the original reflected ray is 2 theta

When we stretch a wire, its length increases but its area of cross section also decreases. However the volume of the wire remans constant. If L1 is the initial length L2 is the final length, A1 is the original area of cross section and A2 is the final area of cross section we have L1A1 = L2A2 = V.

We know that the resistance R1 = rho L1/A1 = rho L1  X L1 /L1 X A1 = rho L1^2/V 

Similarly R2 = rho L2^2/V

Dividing we get R2/R1 = (L2) ^2 /(L1) ^2 = (1.1 )^2 = 1.21 since L2 is 10 percent longer than L1

So R2 = 1.21 R1 = 1.21 x 10 = 12.1 ohms              Ans

Please see attachment

The correct answer is Option C

Power is the product of voltage and current or current squared and resistance. Hence in order to incur less loss in Power transmission, it has to be sent with low current and therefore at a high voltage. Therefore it is common practice to transmit it at a very high voltage say 400 KV or even more for a larger part of the distance between the generating plant to the consumers premises and then step it down with the help of a transformer to a usable voltage like 440 V or 220 V for a domestic consumer. However for a large industrial consumer or to the Railways voltave can be as high as 11 KV or 33 KV.

The core of a transformer is laminated to reduce power lossses due to eddy currents. The core is made layer by layer using thin sheets of Ferrite, which is an electrically non-conductive but magnetically conductive material. There are insulating material between the layers of ferrite so that wasteful "Eddy current" can not flow perpendicularly between the ferrite sheets. Eddy currents cause the efficiency of a transformer to drop, heats up the transformer oil and creates a humming sound. 

Faraday's Law of electromagnetic induction states that the induced e.m.f in a coil is proportional to the negative of the rate of change of magnetic flux. If the coil has n loops, the emf will be n times as large.

Given Power Factor = cos (phi) = 0.5

So (phi) = 60 degrees

The phase difference between the voltage and the current = phi = 60 degrees     Ans

The device used for stepping up or stepping down A.C. voltage is called Transformer.

We can draw two perpendiculars to the longer side of the trapezium from the shorter parallel side of the trapezium.

The height of this perpendicular is sqrt(15^2-6^2) = sqrt (21X9) = 3 x root(21)

We now have a rectangle of sides 13 and =3root21 and two triangles of base 6 each and height 3 root21

So the total area is 13 x (3 root21) + 2 x 0.5 x 6 x 3 root 21  = 57 x root 21 = 262.2 sq cm approx 

Light travels in a straight line. Hence if the person is not in our line of sight, we can not see him.

Sound waves have the property of bending round objects. so we can hear a person's voice even if he is not in our line of sight

Sexual reproduction is a better mode of reproduction because the offsprings have a better chance of survival having inherited the genetic characteristics of both parents.

There is no change to either the energy or the frequency of light as it enters from air into glass.

Frequency is an inherent property of the light wave so it does not change

Energy = Planks's constant x frequency.

Since frequency does not change and Plank's constant does not change so Energy does not change

At center of mass the net moment is zero. One of the masses is at the origin.

Taking the momemt of the other two we get 500 x 40 + 400 x 70 /(300 + 500 + 400) = 40

So the cntre of mass is at x = 40    Ans

Inductive Reactance XL = 2πfL, where f is the frequency and L is the Inductance. The plot will look as below:            XL

                                                                                                      f

As the frequency increases, the Induct ive Reactance will rise proportionately

Capacitive Reactance XC = 1/(2πfC), where C is the Capacitance. The graph in this case will look as below:                          XC 

                                                                                                f

As the frequency increases the capacitive inductance will fall  

The interval between red lights is 20 seconds and the interval between green lights is 12 seconds. Their LCM is 69 seconds. So the lights will flash together in 60 seconds or they will flash together 60 times in an hour.

The correct option is  D

Time for printing is dependent on the number of copies. So time to be taken for printing one copy of Rita's thesis is 1400/4 = 350 min. It will take double that time to print 2 copies or 700 min

The correct option is B

She had Rs 250

She spent Rs 75 on the sweater. So she should be left with Rs 250-75 = Rs 175

But she actuall has Rs 15.

So she must have spent Rs 175 - Rs 15 = Rs 160 in the jacket.   Ans

Coefficient of restitution is the extent to which a body comes back to its original position after a collision with a second body. 

Clearly in a perfectly inelastic collision the value of this coefficient is zero as the two bodies merge as one.

And in an elestic collision the value of the coefficient is 1 as the body comes back to the same position from which it started after the impact with a second body

Thus in inlastic collision the value of the coefficient of restitution is anywhere between 0 and 1 as the impacting body does not quite come back to the original position nor it merges with the second body 

R can finish the work alone working 12 hous a day in 50 days.

So working 18 hours a day he can finish the work alone in 50 x 18/12 = 100/3 days. Daily he can do 3/100th of the job.

He worked for all 7 days. So he finished 7 x 3/100 = 21/100 of the job.......(1)

Q can finish the job in 25 days working 12 hrs a day. He does 1/25 part of the job in a day . He worked actually for 5 days. So he completed 5 x 1/25 = 1/5 or 20/100 th of the job in the said period..... (2)

So the ratio between work done by Q and R is 20/100 : 21/100 which is actually 20 : 21

So the correct option is C   Ans

So in the 7 days period he did 5 x 

Let the numbers be n,n+2,n+4,n+6 and n+8

The greatest minus the least = (n+8) -n = 8   Ans

Let party P get P% votes.

Then party R must have got (P +12)% votes

Total votes is (2P +12)% = 100%

So P = 44% and R = 56%

Given 44% = 132000 Hence 100% = 132000 x 100/44 = 300000 

Party R lost by 12% voles or by 12 x 300000/100 = 36000 votes

Let initial petrol price be x which increased to 1.25x. 

His petrol consumption be y so his initial expense was xy. He wants to limit this to 1.15 xy

The ratio between initial petrol consumption y and later petrol consumption (Y) has to be such that 1.25xy = 1.15xY

Thus the ratio between Y and y or Y/y = 1.15/1.25 = 0.92 

Or he has to limit petrol purchase by (1-0.92) = 8%     Ans

Galvanizing means coating Zinc on iron surface as in steel pipes for use  domestic in plumbing before the advent of plastic water pipes

There are 6 numbers on a dice.

When 4 dices are thrown at once the number of possibilities is 6^4

Same number appearing means either 1 or 2 or ...6 will come up in each dice. so there are 6 such cases possibilities.

Hence the probability of the same number appearing in all 6 dices id 6/(6^4) = 1/6^3 = 1/216    Ans

The probability of getting either 1 or 2 or 3 or 4 or 5 when one dice is thrown is 5/6 x 5/6 x 5/6 for 3 dices = 125/216.

This is the probability of getting at lease one 6 when 3 dices are thrown.

Therefore the probability of not getting evn one 6 when 3 dices are thrown is 1-125/216 = 91/216    Ans 

We know that the number of numbers which are divisible by among the first 30 natural numbers is 10. (3,6,9,12,15,18,21,24,27 and 30). So this probability is 10/30............(1)

The number of numbers within this range which are divisible by are 13 and 26. So that probability is 2/30.....(2)

Hence the probability required is 10/30 + 2/30  = 12/30  = 2/5    Ans

Let the side of thwe square be a cm

Then the diagonal will be a x root2 cm

Given a root2 = 12

So a 12/root2

So area = a^2 = (12 x 12)/(root2 x root2)  = 72 sq. cm.     Ans

The car travels (39+25) or 64 km in (45+39) or 80 min.

So the average speed is 64/80 = 0.8 km/min or 0.8 x 60 = 48 km per hr.     Ans 

Total investment of A, B and C is 64000 + 52000 + 36000 = Rs152000 for equal time periods.

So their share of profit would be proportional to their investment.

A got Rs 35584 for an invetment of 64000 so C would get 35584 x 36000/35584 = Rs 20016.

The correct answer is option E

Probability of getting an even number in one on the first dice is (when you get (2,4 or 6) that is 3 outcomes out of 6 possible outcomes

That is 3/6. Probability of NOT getting an even number id 1-3/6 = 3/6 or 1/2.........................(1)

The pribability of getting a multiple of 3 is when you get 1 or 2 or 4 or 5 on the second dice Or 4/6 = 2/3

So probability of NOT getting the above is 1-2/3 = 1/3.........................................................(2)

Hence the required probability is 1/2 x 1/3 or 1/6..  So correct answer is Option D     

We assume g = 10 m/s/s

Now for B going down the equation is s = ut + 1/2 g t^2  Or  130 = 30 t + 5 t^2   Or t^2 + 6t - 26 = 0

Which gives t = -6+- sqrt(36 + 104)/2 = 2.9 sec                  Ans

The other body A will first go up. It will rise say s m till such time its velocity becomes zero. Or 0 = 30^2 -2 x 10 x s

This gives s = 45m We then have 45 = 30 t -1/2 x 10 x t^2  Or t^2 -6t + 9 = 0  This gives (t-3) x (t-3) = 0  Or t = 3

Therefore this body A will first rise for 3 seconds. By symmetry, it will also for 3 seconds and at that point its velocity will again be 30 m/s

Thereafter it will fall just like body B and will take another 2.9 sec.

So the total time taken by B will be 3 + 3 + 2.9 = 8.9 sec               Ans

One way of solving this problem is to realise that if the ball oicked up is neither Red or Green, then it must be Blue.

The probability of picking up a Blue ball out of 7 Blue balls from a box containing 21 balls is 7/21 = 1/3    Ans

Let C alone complete the job in x days.

In one day A can do 1/6 th of the job. B can do 1/8 th of the job and x can do 1/x of the job.

When all of them work together the job is done in 3 days or all of them together 1/3 rd of the jobs

Hence 1/6 +1/8 + 1/x = 1/3

Or 1/x = 1/3 - 1/6 - 1/8 = 1/24

So C can do the job alone in 24 days    Ans

Cost price of the scooter is 4700.

He repairs it with Rs 800 and sells it for 5800. So profit = 5800 - (4700 + 800) = 300

Percentage profit over total cost price = (300/(4700+800)) x 100 = 5.45%

The speed of the train is 45 kmph = 45 x 1000/3600 = 12.5 m/s

Let the length of the bridge be x m

So (13 + x) / 12.5 = 30

Hence x = 245 m     Ans

Let the man have x number of notes of each type.

Hence 1 xx + 5 x x  + 10 x x = 480

So 16x = 480 Or x = 30     Ans

The total distance between the ships is 273.2 m  as shown in the file attached

Velocity of sound, in m/s in air at T degree C is given by the formula

v = 331 + 0.6 xT. This gives a value of 331 m/s at 0C

So the velocity of sound will be triple or 993 m/s at 331 + 0.6x T

So we get 0.6xT = 993-331 = 662 . From this we get T = 662/0.6 = 1103 degree C    Ans

Here the other three are externally visible body parts, whereas brain is not.

So the odd one is the fourth.

Let the original number be A

1. It becomes 1.4 A when it is increased by 40%

2. Then it becomes 1.4 A x 1.4 or 1.96 A when it is increased again by 40%

3. Now this is decreased by 40%. So it becomes 60% of 1.96A or it becomes 1.96 x 0.6 A = 1.176 A

So it has changed from A to 1.176 A or by (1.176A-A) x 100/A or it has increased by 17.6%

In the series every number is double of the previous number except the last number.

So the wrong term is the last one                 Ans

The ratio given is 1/2: 1/4: 5/16. This can be rewritten as 8/16:4/16: 5/16 or even as 8:4:5. The money is divided in 17 parts

The greatest part is 8/17 or Rs 32000 and the least part is 4/17 or Rs 16000

The difference between the greatest part and the smallest part is 32000-16000 = Rs 16000  Ans

Since A:B :: 8:15 and B:C ::5:8 we can also write B:C ::15:24

This gives us A:B:C::8:15:24

We have got C:D::4:5 or C:D::24:30

Thus we have A:B:C:D::8:15:24:30

So A:D::8:30 or A:D::4:15

B

D

A

B

At present the quantity of iron in 1000 gm mixture is 230 gm and quantity of sand in the mixture is 770 gm

Suppose we add x grams of sand to the mixture and make the total quantity of the mixture = 1000 +x

Given 230 / (770 +x) = 13/(1000+x)

So 23000 + 230 x = 10010 + 13x. Solving we get x = 12990/13 = 999.23 gm     Ans

Check: 230/(770 +999.23) = 13%

Let the original price be 100. After 25% increase the new price is 125. The price is to be reduced to 100.

So the price is to be reduded by (125-100)/125 x100 = 20%

Let the number be x. Properly multiplied the correct answer should have bee 3x/2. Rohan got the answer as 2x/3

So the magnitude of his mistake is (3x/2) - (2x/3) = 5x/6

Percentage wrong is (5x/6)/(3x/2) . 100 = 55.55%

Let the distance travelled be D km

So D/VA : D/VB :: 12:15

Or D/60 :D/VB = 12:15

Or we get D = 60 x 12 = 720 km

So 720/VB = 15

Or VB = 720/15 = 48 kmph  

India is a large and basically poor country. People can not afford air travel like America. Bus or even car is a more costly proposition than rail travel. Train provides many classes if comfort is required. By and large trains maintain their schedule. On line reservation is possible. It consumes less energy per capita and hence is a eco-friendly method of transport. For all these reasons people prefer rail transport. For cargo transport also rail provides a dependable and cheaper option than trucks.

For establishment of heavy industries the following are important factors

1. Availability of land

2. Availability of Power

3. Availability of water

4. Availability of both skilled and unskilled labour

5. Availability of raw materials near by

6. Availability of a market for the product

Drip Irrigation requires less water. So it is ideal for farmers located at arid and dry regions where water is scarce.Even small plots are suitable for adopting drip irrigation. Thus it suits Indian farmers in areas not served by natural or lift irrigation and for places where rainfall is less

Sound waves require a medium to propagate. In space there is no medium so the sound can not travel from the source to our ears and we can not hear any Ssound in space.

Sound travels fastest in solids where molecules are packed closely to each other.

Light travels slower in an optically denser medium

Human body undergoes severe pressure when the speed of travel increases. Pilots of air force jets experience Mach 4 or even Mach 5 speeds for short periods of time. That is the highest speed an astronaut can travel.  Here G means speed of sound = 340 m/s = 1224 kmph. 2G means 2448 kmph and that is the maximum speed at which the Concord aircraft flew. Whether it is space or atmosphere the human body can not tolerate higher speeds.

Nothing in the Universe can move at a speed greater than that of light which is about 300, 000 km/s

Yes, a sonic boom ( a terrifying sound) is produced when an aircraft crosses the speed of sound and that is all you can hear

Given that B can fill the tank in A + 6 hrs

So in 1 hr A can fill 1/A part of the tank and in 1 hr B can fill 1/(A+6) part of the tank

It is given that when both are open, the tank gets filled in 4 hrs.

Do 1/A + 1/(A+6) = 1/4

Or (A+6+A) / (A) (A+6) = 1/4

Or 8A + 24 = A^2 +6A

Or A^2-2A-24 =0

Or (A-6)(A+4) = 0

So A = 6. The tank can be filled by the pipe A in 6 hrs              Ans

Mercury

Iron

Brittlene means something which is easy to break may be like a match stick. Metals are not so brittle but this property of metals varies and can be indicated by Brinells' Hardness number. Lead has a Brinell number of 5 and the harest common metal is hardened tool steel 600 to 900

Gold is the most malleable metal

Yes, all metals conduct electricity

Silver

Graphite is a non-metal but it is a conductor of electricity

Potassium

Graphite

There are 4 types of consumer behaviour

1. Impulsive-purchases at the spur of the moment influenced by advertisement or fashion, not much oh planning is involved

2. Routine purchases like every day requirements of essential food items, 

3. Limited decision making items like where to go for a haircut where a purchaser might just consult one or two friends

4. Extensive decision making items like consumer durables (TV, Fridge) or items purchased after a lot of consultation and planning like that of a flat or house

1. Core Product-it is not the physical product but the need in your mind that the product satisfies-like the need for hassle free transportation

2. Actual Product-the physical product which you can touch and feel-like a car which makes you actually fulfil your above need

3. Augmented Product-like the After-sales service guarrantee or the ease of getting customer support which might influence a purchasers decision to buy a particular brand of a car from a particular sales outlet

1. Europe

2. North America

3. Ukrane-Russia

4. Eastern Asia

Consumer goods can be classified in terms of durability, tangibility and utility.The consumer goods can be further classified into Convenience goods, Shopping goods, Specialty goods and Unsought goods

2400 km

Yes

Nepal

THE DIFFERENCE IS "VOLTAGE" 

Earthing and Grounding are synonyms-they are the same thing. Neutral is the return path of the electric current. Current is carried in the phase wires.

Rate of evaporation is affectewd by two factors

(1) The difference of the temperatire of the hot body and the sorroundings

(2) The renewal of fresh air around the hot body

1. Transport cost-Sugar cane is a bulky material. Sugar is hardly10% of the weight of sugar cane. So by locating sigar cane mills close to the sugar cane growing areas transportation cost can be minimuzed.

2. Powercost -Electricity can be produced by burning the remnant of the sugar cane after sugar has been extracted. That helps to reduce the running cost of the sugar mills. coal is partially replaced by the bagasse.

3. Labor cost-Labor cost is less in the rural areas and hence it is cheaper to locate a sugar mill in the sugar cane growing areas rather than near big towns.

When more than one force acts on a body, it is possible to deal with them in pairs till they cancel out each other and one force is left out. This force is called the unbalanced force.

When we walk on the street the friction between our feet and the road surface allows us to walk or else we would have fallen like when we try to walk on ice or a very slippery surface with very little friction.

Similarly when we try to write on our copy, the friction between the nib and the papeer enables us to do so otherwise we would been unable to write like we can not write on a plastic paper which has very little friction.

Friction is useful to row a boat in water and other myriad cases

Translatory motion takes place when all the molecules of a body moves along a straight line for a given distance in the direction of the applied force. Example is when you gently push a book lying on top of a desk and the book moves. 

We have the following types of motion

1. Translatory or linear motion when all the molecules of a body moves in a straight line by the same distance in the direction of application of the external force like when we swing ourselves on a swing

2 Rotatory motion when all the molecules of a body undergo circular motion by different lengths of arc due to the application of an external force

3 Reciprocatory motion when a body as a whole moves back and forth due to the application of external forces like in case of the piston and cylinder of a locomotive or a car.

When there is an unbalanced force, a body changes its state of rest or of uniform motion in a straight line and starts to accelerate/decelerate. The body can also change its shape due to the application of an external unbalanced force. The body can also change the direction of its motion when an external unbalaced force is applied on it

When wee stand on a level ground our weight (mg) acts vertically downwards on the surface that we are standing upon. In turn the surface also applies a Reaction force on our body which is equal in magnitude and opposite in direction on our body. As a result the forces balance each other and we can stand still. Our Weight and the Reaction from the ground are the examples of balanced forces 

Prevention

We can increase the friction of a surface by making it rough by making it uneven.. We can remove all traces of oil or other lubricants from the surface by decreasing with a chemical to increase friction.

When they are equal in magnitude and same in direction

Formula for Acceleration is

Acceleration = (Final Velocity - Initial Velocity in m/s) / Elapsed time in sec

If it is a quiz question, the answer is yes, but if it is a simple English grammar question the answer no.

The term resolving power means the ability of a microscope (or telescope) to distinguish between two objects which are close by. In case of a compound microscope this is limited by the wave length of visible light, which as you know, lies between 400 to 700 nanometer. So the resolving power of a compound microscope is 200 nm.

Pancreas

A, B, D and E are exhaustive

10 minutes is 1/6th of an hour.

So the distance covered will be 1/6 of the hourly speed which means it will be 90/6 = = 15 km

D or 19 Regional offices

D Page orientation

D Cursor

Power loss can be reduced by

1. Trtansmitting electricity at a high voltage

2. It can be reduced by using conductors with less specific resistance like silver )impractical) or copper (Costly) or Aluminium

The times taken by the individyal sectors are D/200, D/180 and D/240

That gives the average speed as D/(D/200+D/180+D/240) or 3600/53 kmph

The times taken by the individyal sectors are D/200, D/180 and D/240

That gives the average speed as D/(D/200+D/180+D/240) or 3600/53 kmph

1. We are able to write on a piece of paper with a pen or pencil due to friction.

2. We are able to walk due to friction

3. A speeding car is able to stop in time to save a pedestrian crossing the road due to friction

4. Every single space debri would have hit the earth with devastating effect instead of burning out if friction was not there between it and our atmosphere

A force can change motion in the following ways

1. If a body is in a state of rest the force can make it change that stae to a state of motion

2. Force can act as a retardation and make a moving body to stop

3. A force can make a moving body to change its direction of motion

4. a force can change the shape of a body like when dough is prepared to make chapatis

5. Force can change acceleration of a body

Ice forms from water at 0 Celsius only after it is further cooled to the extent of the latent heat of 334 Joules per gram .When it becomes water at 0 C this latent heat is given out. Therefore when ice is used as a refrigerant it has more cooling capacity than water at 0 C.

Simply by adding 273 we can get Kelvin temperature from Celcius temperature

So 60 C = 60 + 273 = 333 K

Rectilinear motion means movement in a straight line

1. Rectilinear Motion

2. Circular Motion

3. Reciprocating Motion

We can increase friction by making the contact area between two surfaces rough

We can decrease friction by 1. lubricating the surfaces with oil or grease

                                         2. Increasing the area of contact

                                         3 By making the area of contact smooth by polishing or filing