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Initially sulphur is not the dielectric when it is substance found in the abundant. In some case it is used as a dielctric as it creates dielectric medium between two things.
As every edge of the prism = 1 m
therefore height of the prism = 1 m and each side of the base of the prism = 1 m.
Now volume of a regular hexagonal prism = area of the hexagon x heigh of the prism.
for area we get largest rectangle of length =1m, and breath =squre root (3) m, and two same tiangle of height =1/2 m and base =squre root (3) m,
so total area = 1*squre root (3) + 2*(1/2)*(1/2)*squre root (3) sqm = (3 squre root (3))/2 sqm,
So volume of the prism = (3 squre root (3))/2*1 cube m =(3 squre root (3))/2 cube m
Hence 5 km is not possible.
Ankara is the capital of Turkey
Buenos Aires
Japan is popularly known as the land of the rising sun.
Cairo
Nile is the world's longest river
there are three types of river found flowing thruogh west bengal.
1. Hmalayan rivers like bhagirathi, teesta,mahananda, joldhaka, torsha.
2. the Chota Nagpur Plateau originated rivers like damodor, ajay, mayurakshi, subarnarekha, roopnarayan.
3. and tidal rivers like Matla.
Kanchenjunga
Yaoundé
Brahmaputra
The most important latitude of our country is 23.5 degree North latitude, known as Tropic of Cancer.
8º4‛N to 37º6‛ N
It varies for different institute.
The Rwenzori Mountains, Shivalik Mountains etc are Landslide prone
The Godavari River is popularly known as 'Dakshina Ganga'
Pakistan
Shiwaliks hills
Tethys sea
Arabian Sea
Indira point
Andaman and Nicobar Islands
3166414 sqr km
Bhilai
Sunderban
Nigeria
Jammu & kasmir, Punjab, Himachal pradesh, Uttarakhand
Asia
Robben Island is an island in Table Bay
Yamuna
Textiles industries
Cement
The main uses of bauxite to produce aluminium metals.
Raniiganj
Jammu & Kasmir
8°4' to 37°6' N
Barbil
Laterite soil
Summer, Rainy, Autumn, and Winter
Gujrat
July to September, 3 months
Kashmir Valley
Deomali
In winter,air over Siberia became cool and sinks,causes a high pressure area north of the Himalayas.This in turn creates winds that blow across india and out over the Indian ocean.This wind system is known as north-east monsoon which is responsible for winter rainfall in Tamil Nadu.
Rann of Kucth is mostly solty area, that is the reason for not cultivation.
30.3753° N, 69.3451° E
Sri Lanka and Maldives
Tarapur
Uranium
Puttalam, Aruwakkalu Limestone mine
Balochistan
Jharkhand
Dhaubadhi VDC of Nawalparasi
Cotton
India
peat, lignite, bituminous, and anthracite
Maldives
India, China
Naogaon
Jute
Karnataka, Chhattisgarh, Odisha, Jharkhand
India
To produce cement mainly
Mumbai High, Digboi
Mahanadi river
Assam
Niligiri and Anamalai hills of Tamilnadu
Jan-Feb session :-Karnataka, Andrha Pradesh ,Madhya pradesh, West Bengal ,Bihar ,Maharastra ,Gujrat;
March-April session:-Punjab,Haryana,UP,RJ; April-May-J&K,HP
20.5937° N, 78.9629° E
Jute Handicrafts, Jute Bags, Jute Canvas Bags, Jute Cotton Bags
Hoogly river bank area
1907: The Tata Iron and Steel Company (now Tata Steel) is established to set up India's first iron and steel plant in Jamshedpur.
Maharashtra
tea
West bengal
kal baisakhi, blossom, easterlies, westerlies etc are manily some local winds blown in india
Odissa
Bokaro theramal station, Durgapur thermal power station
Karnataka
Bajra
Rabi crop
Maharastra
Mawsynram, Meghalaya
Crude Oil and Petroleum Products
Chile's first socialist President.
Lord Mountbatten
Dr. B R Ambedkar
Lala Lajpat Rai
Dadabhai Naorji
Calcutta Municipal Act of 1923
Netaji Subhas Chandra Bose
1999
In 1791
R Venkataraman was then the President.
Bal Gangadhar Tilak
In 1789
Great Britain, Soviet Union, United States, China and France
Aung San Suu Kyi was the leader of and elected as the Prime Minister of Mayanmar in 1990.
The Vice President of India
Kathmandu, Nepal
The Hague in Netherland
Lord Mauntbatten
Azad Hind Phauj or Indian National Army
1930, Mahatma Gandhi
Lala Lajpat Rsi
Rowlatt act
Dadabhai Naorji
Bahadur Shah Zafar
Article 43, Acticle 47 and acticle 48
The Khilafat movement was an agitation by Indian Muslims, allied with Indian nationalists, to pressure the British government to preserve the authority of the Ottoman Sultan as Caliph of Islam after World War I.
Rowlatt Act or Black Law, was a legislative act passed by the Imperial Legislative Council in Delhi on March 18, 1919, indefinitely extending the emergency measures of preventive indefinite detention, incarceration without trial and judicial review enacted in the Defence of India Act 1915 during the First World War
General Assembly with the recommendation of Security Council.
Dadabhai Naoroji
Mohandas Karamchand Gandhi
Bankim Chandra Chattopadhay
The Vernacular Press Act
Lord Canning
The honorable President of India
President, in India
Indian citizens
Jawaharlal Nehru of India, Sukarno of Indonesia, Josip Broz Tito of Yugoslavia, Gamal Abdul Nasser of Egypt and Kwame Nkrumah of Ghana
Belgium, France, Italy, Luxembourg, West Germany (now Germany), and Netherlands
Belgrade in 1961
Speaker is chosen from amongst the members of the Lok Sabha, and is by convention a member of the ruling party or alliance.
Belgrade in 1961
The Hague in Netherlands
10 th December
Mohammad Ali, Maulana Shaukat Ali, Maulana Abul Kalam Azad
On 26 th January 1930 Purna Swaraj Day was decleared
Dadabhai Naoroji
President of India
Abolition of Sati, Voice against idolatry, Champion of Women Liberty, Opposition to Caste System.
SAARC Preferential Trading Arrangement
United Nations Educational, Scientific and Cultural Organization
In 1916, Lucknow pact was signed between moderates and radicals.
July, 1905
Mahatma Gandhi, The main object was to spread his ideology and thoughts regarding use of nonviolence in organising movements against British
Bal Gangadhar Tilak
Swami Vivekananda founded on 1st May, 1897
By the governor of corresponding State on the advice of Chief Minister of that state.
5 years
To aims for economic growth, social growth and cultural development of our nation of southeast asian countries.
Organization of the Petroleum Exporting Countries
1985 in Dhaka
Mahatma Gandhi
Pandit Jawharlal Nehru
1. Pact was between moderates and radicals group of Indian Nation Congress and
2. Second point was Unity of Muslim League and Congress
Satyagraha loosely translated as "insistence on truth" was an important movement in India
Fixed grant from the State Government in proportion with the land revenue and money for works and schemes assigned to the Parishad. The Zila Parishad can collect some money from the panchayats with the approval of the government.
Zila Panchayats are Panchayats at Apex or District Level in Panchayat Raj Institutions (or PRIs). The ZilaPanchayat or District Council or Zilla Parishad or District Panchayat, is the third tier of the Panchayati Raj system. Zila Parishad is an elected body.
Marlborough House in London
Helena Blavatsky
5 years
Cripps Mission had been sent India to discuss with the nationalist leaders of the Indian contingent about the self governance in India through dominion status.
Jakarta, Indonesia
Warren Hastings
Governor appoints Chief Minister
Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan, and Sri Lanka and newly added Afghanistan
The European Economic Community (EEC) was created by the Treaty of Rome in March 25, 1957
Bernard Baruch
General Dyer
Bal Gangadhar Tilak
Dadabhai Naoroji
Gopal Krishna Gokhale
Bombay, 1885
The Revolt of 1857 also known as Sepoy Mutiny
Mayor
High Court
Governer of the state
The Balfour Declaration was a letter dated 2 November 1917 from the United Kingdom's Foreign Secretary Arthur James Balfour toWalter Rothschild, 2nd Baron Rothschild, a leader of the British Jewish community, for transmission to the Zionist Federation of Great Britain and Ireland
Operation Barbarossa was the code name for Nazi Germany's World War II
Motilal Nehru and Chitta Ranjan Das
Indian citizen who has worked as a judge in any court in India for a period not less than ten years. Advocates with a ten year standing in any High Court are also eligible besides jurists whom the President of India may consider as eminent.
Host the function of Lok Sabha.
is a citizen of India
has completed 30 years of age in case of Rajya Sabha and 25 years in case of Lok Sabha
Lord Mountbatten (15 August 1947-21 June 1948)
C. Rajagopalachari (21 June 194826 January 1950)
Bipin Chandra Pal
Dadabhai Naoroji
Satyendranath Tagore
Allan Octavian Hume, 1885
Nana Saheb was one of the most influential rulers after the reign of Shivaji. He was also called Balaji Bajirao
President of India
5 years
By the President and by the advice of Prime minister
Speaker of the Lok Sabha
1885, by A. O. Hume
Non Aligned Movemen, founded by Panit Jawharlal Nehru in 1961 is an international organization who do not want to be officially aligned with or against any major power bloc
Ali brothers and Abul kalam azad
Annie Besant
Surendranath Banerjee was the editor.
Mahatma Gandhi, to inspire young Indians and through the magazine he spread his ideology of non-violance in in organising national movements
Once became judge one can remain hold the post upto his/her retirement at the age of 65.
District high court
it means a mutual understanding government among two or more political party.
Literally no. But some emergency case he can do by special act.
5 years
He was an eminent leader of our national movement. By saying the chant "Swaraj is my birth right and I will have it" he made nation strong in national movement across the hole country. He also found Home rule league in Poona.
Host the house of Parliament
When low in order totally break down in the country.
Graduation
by the selection of the ruling party lok sabha members.
Lok sabha is more powerful
because by this pact two different group of nation congress became in agrement and also it was an agreement between congress and muslin league.
Courts of Session
President of India after consulting with chief justice of supreme court
When low in order of the country totally break down.
Lord Ripon
Motilal Nehru and Chitta Ranjan Das. They argued that they should end boycott of legislatures and contest in elections. That is why they are called pro-changers.
Mahatma Gandhi said, Gopal Krishna Gokhale was his political Guru and a true servant of India.
The introduction of enfield rifles in the army was the immediate cause because to load the rifle, sepoys had to bite the cartridge open to release the powder.The grease used on these cartridges was rumoured to be made of beef and pork which angered the hindu and the muslims in the army
Naib Tahsildar
after completly break down of low in order of the country.
complete independence
to become independence after fight with british rule
The Parliament
Anne Besant and Bal Gangadhar Tilak
To Host The Parliament
India, Indonesia, Egypt, Ghana and Yugoslavia
On 8 August 1940, the Viceroy of India, Lord Linlithgow.
Ginning is the process of separating the cotton fibers from the cotton seeds.
The majority of the heavy chemicals manufactured in India are intermediary products, which are used in several other industries such as agro based chemical industries, pharmaceutical industries, fertilizer industries, textile industries, paint and dye industries, plastic industries, etc for the production of a number of end use products.
Ragi, Jowar, Bajra Sorghum etc
The kharif cropping season is from July to October during the south-west monsoon and the Rabi cropping season is from October to March.
Andhra Pradesh
there are huge resourse of bio gas are found in rural area in india and which are very economic.
Greenwich Meridian
Biogas is mainly methane and carbon dioxide. This gas produced by the anaerobic digestion (without oxygen) or fermentation of organic matter. The organic matter can be manure, sewage sludge, municipal solid waste, biodegradable waste or any other biodegradable feedstock.
Sun
Due to nuclear reactions we get nuclear energy.
Karnataka, Andhra Pradesh, Telangana
Bhakra Nangal hydro project
Kerala
Eastern part of India Mainly Jharkhand, odissa, West Bengal
flax plant seed
iron ore is not found in these area
Gujrat
mainly northern part of India
Leaching is the loss or extraction of certain materials from a carrier into a liquid (usually, but not always a solvent). Specifically, it may refer to: Leaching (agriculture), the loss of water-soluble plant nutrients from the soil; or applying a small amount of excess irrigation to avoid soil salinity.
Radio Frequency
The Son river
Damodar valley Corporation
Tehri Dam Uttarakhand 2400 MW
Srisailam Dam Andhra Pradesh 1670 MW
Nagarjunasagar Andhra Pradesh 965 MW
Sardar Sarovar Gujarat 1450 MW
Baspa-II Himachal Pradesh 300 MW
Nathpa Jhakri Himachal Pradesh 1500 MW
Bhakra Dam Punjab 1325 MW
Dehar Himachal Pradesh 990 MW
Chamera-I Himachal Pradesh 540 MW
Chamera-II Himachal Pradesh 300 MW
Pong Himachal Pradesh 396 MW
uranium,thorium,beryllium
Economic and eco-friendly
Chittaurgarh
Tilaiya Dam, Maithon Dam, Panchet Dam, Durgapur Barrage
Kerela
As in our country narural irrigation is not enough for agricalture so artificial irrigation is very important.
Kemmannugundi hill area
Nova Scotia
Fast growing of population, less oppertunity of work, decresing of agricultural land are cause for which we need rapid industrialisation in India.
Gujrat
Uttar Pradesh
As a cooking medium as most of them are edible. i.e. sunflower oil, coconut oil,etc. As industrial purposes. i.e. raw materials for the production of soap, cosmetics, ointments, etc.
Jute
Important policy measures introduced in the agricultural sector in India during the period of planning are as follows:
Technological Measures, Land Reforms, Institutional Credit, Procurement and Support Prices, Input Subsidies to Agriculture, Food Security System, Targeted Public Distribution System (TPDS), Rural Employment Programmes.
By providing the facilities like giving Credit Facilities, making Industrial Estates, give oppertunity of Publicity, Providing Facility of Raw Material, Purchasing of Cottage Industry Product, Protecting Against Foreign Competitions, Establishing of Training Institutions our government trying to encouraged cottage industries.
Government has encouraged to those industries to meke good quality attractive product and their local fashion make these materials in leading demand.
The red soil is thin, poor, porous and has loose gravel and it is also poor in lime, phosphate, nitrogen and humus, water capture power is very low these are all main disadvantages
Upper Ganga Canal, Lower Ganga Canal, Sharda Canal, Eastern Yamuna Canal, Agra Canal, Betwa Canal, Upper Bari Doab Canal, Sirhind Canal, Bhakra Canal, Bist Doab Canal etc.
Uttar Pradesh, Rajasthan, Punjab
calcium carbonate, silica, alumina and iron ore
Rourkela Steel Plant by German, Bhilai Steel Plant and Bokaro Steel Plant by Soveit
Andhra Pradesh
Soil: Jute needs sandy and clayey soil for its growth. Water: needs heavy rainfall area for its growth.
Temperature, Rainfall, and Soil.
Maharashtra
sown in the month of April and harvested in the month of October
Punjab and haryana
ITCZ is a low pressure zone located at the equator where trade winds converge.
In summer this low pressure belt shifts to gangetic plaine which is also responsible for onset of monsoon.
Western coastal plain is submergent, Narrower and have Many Ports whereas Eastern coastal plain is emergent, Broader and has less Ports
Igneous rock
Tamilnadu
Godavari
Mainly mathematical modeling including differential equations, LPP and various problem solving techniques are involve in this fast growing topics.
Ans. 29
Let those odd numbers be x-5, x-3, x-1, x+1, x+3, x+5.
According to the question we have
((x+5)^2+(x+3)^2+(x+1)^2)/3-((x-5)^2+(x-3)^2+(x-1)^2)/3=288
which implies 36x=288*3
i,e. x=24
therefore the last odd number is x+5=29.
It is -7
Let x^2+2x-35=0
then using Sridhar Achyarya formula we have
x = (-2+/-sqrt(2^2-4(-35)))/2
which gives x=5 and -7
so the other zero is -7.
Jadavpur University Mathematics Department is one of the best platform to learn MATLAB
At any point slope of the tangent to the parabola is dy/dx = 4/y which implies m=4/y, i,e. y = 4/m
Now putting this in equation of parabola we get x= 2/m^2 -2
Again putting these values of x and y in the equation of the straight line we have
c = 2/m +2m
Now we find the minimum values of c using maxima minima technique
we get at m =1 the expression c has its minimum values and which is =4.
Hence option C is the correct ans. i.e., the minimum value taken by c is 4.
Let x^2+ax+b be the polynomial then for the corresponding polynomial equation x^2+ax+b=0
sum of the roots is = -a i.e. sum of zeros of the polynomial is = -a
hence in the polynomial x^2-4x+3 sum of the zeros is -(-4) =4
Therefore option 1 is correct i.e. the sum of zeros of the given polynomial is 4.
x^2+2x-15 = x^2+5x -3x-15 = x(x+5)-3(x+5) = (x+5)(x-3)
therefore the zeros of the polynomial are 3, -5
Hence option 4 is the correct ans.
x^2-9 can be written as x^2 +0x-9
Now in a polynomial x^2+ax+b, sum of the zeros is -a.
Comparing this with the given polynomial we have a =0
Hence sum of the zeros is =0
therefore option 3 is correct ans.
Let x^2+ax+b be the polynomial then the product of the zeros is b.
Now comparing this we get the matching value of b to be equal to 1/7 in case of the polynomial 7x^2+8x+1
Hence option 3 is the correct ans. i.e., the required polynomial is 7x^2+8x+1
Brahmaputra
if x-y is a natural number, where x is from A and y is from B, then x must be greater than y,
here only one such case apear that is 5-4 =1 which a natural nomber as well as odd.
hence in roster form
R={(5,4)}
Kashmir Valley
ice to water is an example of physical change
Bromine is non-metal liquid
KNO_3 is a salt, which is neither acid nor base.
No. It is a salt of the calcium, ion a strong base and carbonic acid, a very weak acid.
Yes. It is a biofuel.
Germanium is an such example
With a naked we can not see an atom but with the help of an electron microscope we can see it!
It Depends on so may factors like body weight, age, generally for an average adult 2400 mg/day
Aspirin
No. Consumption of alcohol in this situation can damage liver function.
SnCl4 is not a 'Lewis' acid
Base
It is a salt. Neither base nor acid.
Atom is a nutral particle while ion is a charged partcle
Electron, Proton and Neutron are all smaller than atom all these component together generate an atom.
It is an alkali metal.
Acid
Iron, Aluminium. Copper
No. They are not.
Yes.
Ethanol
Base
H3PO4 is more acidic
A basic unit of a matter is atom, which contains all the properties of the matter, it is nutral as far as charges are concern.
Neither acid nor base.
It is a salt.
Acid
Base
Acid
{1}, {2}, {3}, {1,2}, {1,3}, {2,3} are complete proper subsets of the given set
Hence the ans is option C. 6
The required eqn is
(x-0)^2+(y-3)^2=3^2
=> x^2+y^2-6*y=0
An eqn of a circle with centred at (h,k) and with radious r is given by
(x-h)^2+(y-k)^2=r^2
Now comparing this with the given eqn we get (h,k)=(-12,-15)
Hence the centre of the given circle is at (-12,-15)
If we simplify the given eqn then we obtain
((1+i)/(1-i))^n=1
=> i^4=1
which shows that the least positive value of n needs to be 4
Hence n=4 is the required ans.
(x-iy)^2=u+iv
=> x^2-y^2 -2ixy=u+iv
Comparing real and imaginary parts we get
u=x^2-y^2 => u/x = (x^2-y^2)/x and
v = -2xy => v/y = -2x
Hence we get u/x+v/y = (x^2-y^2)/x -2x = -(x^2+y^2)/x
Given that,
a+ib = (x-i)^2/(2x^2-1)
=> a+ib = (x^2-1 -2xi)/(2x^2 -1)
Comparing real & imagnary pars we get
a = (x^2 - 1)/(2x^2-1) & b = -2x/(2x^2 - 1)
Hence a^2 + b^2 = (x^2+1)^2/(2x^2-1)^2
Given function is f(x) = 3x-7
therefore f(-3) = 3*(-3) -7 = -9-7 = -16
Hence f(-3) = -16
Rigveda is the oldest among all four Veda's
There are four Vedas such as Rigveda, Shamveda, Jajurveda and Atharvaveda.
Agam Literature is the holy book of Jainism
Bal Gangadhar Tilak or Lokmanya Tilak said this.
Chineese and English are the most sopken language in asia
Russia, though this country also belongs from asia !!
Mt. Blanc is the most famous mountain in Alps.
Alternating Current (AC) and Direct Current (DC) are the two types of electric current.
When two vectors are perpendicular to each other then their dot product is zero.
Newton's third law of motion..
'Every action has equal and opposite reaction'
Its 'China'
Ajanta caves were built in Gupta period.
When a ball slids on the floor then the force actiong on it is a translational force.
When a particle moves around a fixed point or object then the force acting on that particle is known as rotational force.
Spining a top
Earths movement
Rolling a wheel
Him = Ice/snow and alaya = house/ land/ territory
hence it means 'The land of snow'
Vatican City is the smallest country in Europe.
Womesh C Banerjee was the first president of indian national congress.
1+2=3 3+4=7 7+6=13 13+8=21 21+10=31 31+12=43 Hence the next term of the series is 43
he travells total 6+6=12 km towards west and 5 km towards north Hence his final position will be north-west direction and the distance will be the hypoteneous od the rightangle triangle with 12km base and 5 km height Which is 13 km Therefore his final position is 13 km north-west
Uncle
Let three yrs ago sons age was x yrs then his father was 7x yrs Now we have 5*(3+x) = 7x +3 therefore x=6 so at present son is 9 yrs old and father is 45 yrs old
At two poles earths gravitational force is high as far as on earths surface is concern.
Its atomuic no is 6. So in the first orbit 2 electron lies and remaining 4 electron lies in second orbit. Hence outer most orbit is has 4 electron. Hence option b is the correcr answer.
Lord Wellesley
Acid rain is mainly reffers to mixture of some chemical compounds disolves in rain water with PH less than 7.0, generally when SO2, NO2 or some other oxide mixed up in water and create acid rain. Ofcourse it is harmfull to the environment.
Mt Vesuvius
Its option C 55BC
The correct option is D. England
Pop
Job scheduling
Its option C
Option A
Option D. 4
Option A. 1
Option D. There is a sequencial entry that is one by one
Option A. Queue
Option C. 3
Option A. Underflow
It depends on types of code. But python is much simplier than C++
14
14
Option A. 2.16 g
Option C. N2O5
4.146 g
It will be 0.4 m
in normal temperature 18 ml water = 1 mole water. each mole of water contains 6.023x10^23 molecules of water and 1 molecule of water contains 10 etectron.
Hence total no of electron = 6.023x10^24
Oil
Here n = 5, E = 1.5, R = 1.25, r=0.2
We have I = nE/(R+nr)
= 5*1.5/(1.25+5*0.2)
= 7.5/2.25 = 3.33A
Hence option A isthe correct ans.
Generally we can say No.
According to Einstein's General Theory of Relativity, time passes more slowly (as seen by an outside observer) in a gravitational field. The stronger the gravitational field, the greater the time dilation effect. This has been verified on Earth by accurately measuring the passage of time at the top and bottom of a tall building. Because gravity weakens as distance from the Earth's center increases, the readings of extremely accurate atomic clocks that are synchronized at sea level diverge if one is raised to the top of the structure.
Time dilation near a black hole, with its extreme gravitational field, is intensified until time at the event horizon appears to be stopped completely. That is why black holes have also been referred to as 'frozen stars'.
For lack of Oxygen due to less gravitational forece.
9.81m/s^2
A person will fell weight less on moon surface and moon would also unable to move in specific orbit and escaped.
Here Det(M)=1
and Adj(M) = -M
therefore M^{-1} = (1/Det(M))*Adj(M) = -M
Hence [f(x)]^{-1} = f(-x)
Option B. r^2/R
7/16
500*sqrt(2) m/s^2
Hence option B.
100 degree
Option D.
H/2
CO2: Carbon di oxide
The "Agam Sutras"
Question is itself questionable !
Let x % annual interest rate,
interest on 3000 for one yr is 30x
and interest on 4200 for 8 month is 8*42*2x/12 = 56x
so (30x+56x) = 832
therefore x = 832/86 = 9.6744 which is near about 9.67%
Towards NORTH direction
Let aggragate marks be x
therefore by the question 43x/100+40 = 900
which implies x = (900-40)*100/43 = 2000
So option B 2000 is the correct ans:
came to work
multiplying previous one by 2 one can get the current one
like 1x2 =2, 2x2= 4, 4x2 = 8 and so on but 64x2 it will be 128 instead of 96
hence 96 is the wrong one
have breakfast
120 kg
If R invest 13000 instead of 1300 then Ans is option A
first and last four month ratios 2*(10:12:13)+middle four month ratio (9:11:12)
so total ratio = 29:35:38 at the end of the yr.
If 1300 is for R's investment then option E is correct!
i.e., none of these
North-West
North-West
South from her initial position and she is travelling towards north
South-West
Pradnya were facing towards North
To change the content a document one needs to editing it
So its Editing
C++
2020
Rows, columns and cells
Alt+enter
D
Editing
Justify
The autosum button
Save as command
Formatting toolbar
Save as HTML
Press Delete key
Page layout->Columns
total iron = 230 gm
let x gm sand added
so at present sand = 770+x gm
so we have according to the question 230/(770+x)=13/87
which implies x = 769.23 gm
Let each whiskey is of 100 ml /bottle
Let x bottles of 27% type whiskey should be mixed with y bottles of 42% type whiskey
therefore we have (27x+42y)/(100x+100y) = 33/100
=> 27x+42y = 33x+33y
=> x/y = 3/2
so x:y =3:2 is the required ratio
In 60L acid is 40L and water is 20L
if we add 60L water now total volume will be 60+60 = 120L and water will be 20+60 = 80L and acid remains 40L
so now Acid:Water = 40:80 = 1:2
Hence 60L of water need to be added
In the first alloy copper = 4/7 kg zink = 3/7 kg
In the second type alloy copper = 9/14 kg and tin = 5/14 kg
If we mixed 1/2 kg of first and 1/2 of second alloy then we will get 1 kg new alloy.
And in this alloy tin will be = 5/28, so tin will be 5/28 per kg
Let x kg needs to mixed then total rice will be (25+x) kg,
If selling price is 16 per kg then total selling price is Rs. 16*(25+x)
Selling price of 1st type rice was Rs. 12.85*x and 2nd type rice was Rs. 25*14.80
Net selling price with 15% profit will be Rs. (12.85*x+25*14.80)*1.15
Then we have 16*(x+25) = (12.85*x+25*14.80)*1.15
which gives x = 20.8589 kg implies x = 21 kg(approx)
(A+B+C)/3 = 9/40
=> C = 27/40-(A+B)
=> C = 7/20
Rahim+Subham = 600, Amit+Ranit = 400
Average of them = (600+400)/4 = 250
Total score = 20*40+25*35 +30*30 + 15*40 + 35*35 = 4400
Total students = 20+25+30+15+35 = 125
Average score of students = 4400/125 = 35.2
The average price will be
= (7*280+9*240)/(7+9)
= 257.50 per kg
Total milk = 729*(7/9) = 81*7 = 567 ml
Total water = 729*(2/9) =81*2 = 162 ml
If we add 81 ml water then total water will be 81*3 ml and milk will remain 81*7 ml
Hence milk:water = 7:3
So 81 ml of water need to be added.
Total milk = 729*(7/9) = 81*7 = 567 ml
Total water = 729*(2/9) =81*2 = 162 ml
If we add 81 ml water then total water will be 81*3 ml and milk will remain 81*7 ml
Hence milk:water = 7:3
So 81 ml of water need to be added.
Total milk = 729*(7/9) = 81*7 = 567 ml
Total water = 729*(2/9) =81*2 = 162 ml
If we add 81 ml water then total water will be 81*3 ml and milk will remain 81*7 ml
Hence milk:water = 7:3
So 81 ml of water need to be added.
Ratio of total water: milk = 10+16:10+24
= 26:34
= 13:17
in 16 lt milk = 16*5/8 = 10 lt, water = 16*3/8 = 6 lt,
if we remove 2 lt milk then remain milk = 8 lt
and ratio will be 8:6 = 4:3
So 2 lt of milk shoild be removed.
Let x be the ratio constant, then total juice = 7x l and water = 5x l
in new mixture water = (5x+15) l and juice remains same,
by the question 7x:(5x+15) = 7:8
=> 56x = 35x+105
=> x = 105/21 = 5
Hence total water in the new mixture = 5*5+15 = 40 liters => B
(25-9)*5/4= 20 yrs
Before the birth of the youngest member the avegare age ofthe family wsa 20 yrs
Let the age of the teacher was x yrs
then we have 36*14+x = 37*15
=> x = 37*15-36*14 = 51 yrs
51 yrs
Let there are x non officiers
so we have 120*(15+x) = 460*15+110*x
=> x = (460-120)*15/10 = 34*15 = 510
so there are 510 non officers present in that office.
Savings = 25000-10*(800+775+750) = 1750
p+q = 5.8*2 = 11.6,
q+r = 1.4*2 = 2.8,
r+s = 0.7*2 = 1.4,
So, p-r = 8.8
Hence p-r-(r+s) = 8.8-1.4
=> p-2r-s = 7.4
C = A*1.5 and also C = B*2.4 which gives A = B*2.4/1.5 = B*1.6
Again A*0.1+B*0.12+C*0.15 = 3200
or, B*1.6*0.1 +B*0.12 + B*2.4*0.15 = 3200
or, B*(0.16+0.12+0.36) = 3200
or, B = 3200/0.64 = 5000
Rs. 5000 was invested in B
Let three numbers be A, B, C respectively
So we have A = C*1.12 and B = C*1.25
C = A/1.12 = B/1.25 which implies A = B *1.12/1.25 = B*0.896
Hence the first number A is 89.6% of the second number B
89.6% is the ans:
Let the number be 100
After first increase it will be !00*1.4 =140
then again if 40% increased it will be 140*1.4 = 196
Finally if decreased by 40% it will be 196*0.6 = 117.6
Original no was changed by (117.6-100)/100 = 17.6% increased
After decreasing it remains = (a*0.8)*(b*0.8)^2 = 0.512*ab^2
So total decrease = ab^2 -0.512*ab^2 = 0.488*ab^2
Hence total 48.8% decreases
Option B is correct ans:
20% of A is B
So either question or option is not correct
Accoerding to the question B is less than A by 80%
So 100-25 = 75% will be girls
so 828*.75 = 621 girls are there
Decided amount was 1350*7/3 = 3150 which is 18% of his salary
So salary*0.18 = 3150
Hence salary = 3150/0.18 = 17500
Let the no be x
So we have 0.2*(0.3*(2*x)) = 36
=> x = 300
Let the no be x
so, x/5 = 48
=> x = 48*5 = 240
Now 62% of 240 = 148.8
Indias total win = 20*40%+10*80%+18*50% = 8+8+9 = 25
so winning % is (25/48)*100 = 52.08
A, B, C be the three nos.
A = C*50% = 0.5*C => C = 2A
B = C*(100-54)% = 0.46*C => C = B/0.46
So, 2A = B/0.46 => B = 0.46*2*A = 0.92A
Hence Second no B is 8% less than the first no A.
8%
Let X be total voters
So 80% of x = 0.8x and 66% of casted vote = .66*.8x = 0.528x and losing candidate got 0.8x*0.34 = 0.272x
So we have 0.528x-0.272x = 3072 => x = 12000
Hence total voter was 12000
(a+b+c)^2 = a^2+b^2+c^2 +2(ab+bc+ca)
=> ab+bc+ca = -20/2 = -10
element in the set is = 3
total no of sub set = 2^3 = 8
trivial subset is = 2
hence total no of proper sub set = 8-2 = 6
so option C is the right answer.
A+B = 1/5+1/8 = 13/40
A+B+C = 3*9/40 = 27/40
so C = (A+B+C)-(A+B) = 27/40-13/40 = 14/40 = 7/20
Hence C = 7/20
df/dx = -e^{-(a+x)}(-1) = e^{-(a+x)}
d^2f/dx^2 = e^{-(a+x)}(-1) = -e^{-(a+x)}
d^3f/dx^3 = -e^{-(a+x)}(-1) = e^{-(a+x)}
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