MPT - 102889

Aritra D Male, 37 Years

Associated for 4 Years 8 Months
English, Mathematics and Science Tutor for ICSE and CBSE
College Level Tutor

Activity Score - 1305

Qualification :
  • M.Phil (Rabindra Bharati University - [RBU], Kolkata - 2010)
  • M.A (Rabindra Bharati University - [RBU], Kolkata - 2005)
  • B.A (BB College, Asansol - 2003)
  • 12th (BB College, Asansol - 2000)
  • 10th (St. Patrick's HS School, Asansol - 1998)
  • Hourly Fees:
    INR 200
Teaches:
Class 9 - 10 Mathematics Physics English Science Algebra All Boards INR 300 / Hour
Class 11 - 12 Mathematics Physics English CBSE/ISC INR 150 / Hour
College Level English BA Tuition INR 200 / Hour
Test Preparation NET TET SET UGC Net INR 300 / Hour
Competitive Exams SSC Exams SSB Exam NDA LIC INR 250 / Hour

19 Notes written by me

  • Comparison Of Quantities

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    Mathematical topics like: 1. Percentage 2. Comparison 3. Profit and Loss 4. Simple Interest

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  • Notes On English Literature Practice

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    This notes will help students to practice English Literature and obtain good marks.

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  • Notes On English Lesson For Practice

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    The students who wants to get good marks in their exam, this practice lesson will help them a lot.

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  • Practice Notes On English Literature

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    The Notes that will help students to preapare their English Literature for their Board Exam.

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  • English Literature Notes For Class 12

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    By take through Notes, the students will get knowledge how to write a Journal and prepare them accordingly.

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  • Notes On English Words And Meaning

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    The Notes will help student to know the meaning of the words and how to use them.

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  • Heat Transfer

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    Physics for Class 8 for ICSE and CBSE.

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  • Light

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    Physics for Class 8 for ICSE and CBSE students.

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  • Energy

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    Physics for Class 8 for ICSE and CBSE students.

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  • Force And Pressure

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    Physics for Class 8 ICSE and CBSE students.

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  • Matter

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    Physics for Class 8 students of ICSE and CBSE.

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  • Competitive

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    SSC-CGL

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  • Gravitation

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    Physics: For CBSE and ICSE Students.

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  • Determinants

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    Mathematics: For ICSE and CBSE Students.

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  • Gravitation

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    1 time downloaded

    Physics of ICSE and CBSE board for Class 9 and 10 students.

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  • English Literature

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    M.Phil Dissertation on Beat Literature.

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  • English Literature

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    Study Material on English Literature.

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  • English Literature

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    Study Notes for BA and MA students of English Literature.

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  • Literature For MA Students

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    Study Notes for Students pursuing English Literature at BA and MA level.

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  • Answer:

    Given, AB is the diameter of the larger circle.

    P and Q are the Centres of the smaller circles.                    

    M is the point where the circles with centres P and Q touch each other.

    So, AB = AM + MB     ----------------------------- (i)

    Thus, AM is the diameter of the circle with centre P

    So, AM = AP + PM

                  = PM + PM (AP = PM, both being radii of the circle with centre P)    

                  = 2PM ----------------------------- (ii)

    And MB is the diameter of the circle with centre Q

    So, MB = MQ + QB    

                  = MQ + MQ (MQ = QB, both being radii of the circle with centre Q)

                  = 2MQ ----------------------------- (iii)

     

    From (i), AB = AM + MB

                          = 2PM + 2MQ (from ii and iii)

                    AB = 2(PM + MQ)

              or, PM + MQ = AB/2

              or, MQ = AB/2 - PM

                         = (AB - 2PM)/2

  • Answer:

    Total weight of mixture = 25 kg Total weight of water = 20% of 25 kg = 5 kg. Now, 20% weight = 5 kg Let the extra amount of water be 'x' kg. Thus, (5+x)/(25+x)×100 = 33.33 Or, 500 + 100x = 33.33x + 833.35 Or, (100 - 33.33)x = 833.35 - 500 Or, 66.67x = 333.35 Or x = 5 kg. So, the weight of water required to be added = 5 kg.

  • Answer:

    Let the total population be 'x'. Now, males:females = 3:2 Sum of ratios = 3+2 = 5 So, males = 3x/5 And females = 2x/5. No. Of male graduates = 20% of 3x/5 = (20/100)(3x/5) = 3x/25 No. Of female graduates = 25% of 2x/5 = (25/100)(2x/5) = x/10 Thus, no. Of graduates = 3x/25 + x/10 = 11x/50. Thus, no. Of non-graduates = x - 11×/50 = 39x/50 Hence, percentage of non-graduates = (39x/50)/(x)×100 = 39×2 = 78% So, the correct answer is Option D.

  • Answer:

    The No. of marbles kept originally = 15

    no. of white marbles = 5

    Thus, fraction of white marbles = 5/15 = 1/3

    Let the number of white marbles added be 'x'.

    Thus, (5+x)/(15+x) = 3/5

    or, 5(5 + x) = 3(15 + x)

    or, 25 + 5x = 45 + 3x

    or, 5x - 3x = 45 - 25

    or, 2x = 20

    or, x = 10.

    So, the correct option is (D).

  • Answer:

    There are mistakes and missing informations in the question. Where is M? Are you sure that it is AM and not AD? Also, isn't <CAB = 90 degrees?

  • Answer:

    Surface Area of a Sphere = 4πr^2

    Curved Surface Area of Cylinder = 2πrh

    Thus, ratio of Surface Area of a Sphere : Curved Surface Area of Cylinder = 4πr2 : 2πrh

                                                                                                                                                    = 2r : h

                                                                                                                                                    = d : h

    So, the correct option is (A).

  • Answer:

    Option B. OM = 2 cm and OQ = 7 cm

  • Answer:

    Given, Mode = 2

    So, 3x - 10 = 2

    or, 3x = 10 + 2

    or 3x = 12

    or, x = 4

    And 4y + 6 = 2

    or, 4y = 2 - 6

    or, 4y = - 4

    or, y = - 1

    Thus, x + y = 4 - 1 = 3

    So, the correct option is B.

  • Answer:

    Given, (a + b)/2 = 9

    Thus, a = 18 - b

    And, b = 18 - a

    Also, c = 5a - 4

    Thus, c = 5(18 - b) - 4

                 = 90 - 5b - 4

                 = 86 - 5b

    So, (b + c)/2 = (b + 86 - 5b)/2

                         = (86 - 4b)/2

                         = 43 - 2b

                         = 43 - 2(18 - a)

                         = 43 - 36 + 2a

                         = 7 + 2a

    So, Option C is correct.

  • Answer:

    Even numbers between 21 and 43 are:

    22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42

    Thus, Median = 6th number

                           = 32

     

    So the correct option is B.

  • Answer:

    Re-arrenging the series:

    1, 2, 4, 5, 7, 8, 10, 10, 12, 14, 15

    Since, the series has 11 numbers, so the Median will be the 6th number = 8

    And as 10 is the most repeated number so the Mode = 10

    Hence, Option A is the correct answer.

  • Answer:

    Correct option is (B).

    Working shown in the attached file.

  • Answer:

    The question is erroneous. Instead of <QAB = 90, it should be <PQB = <PQA = 90

  • Answer:

    The solution is provided in the attachment.

  • Answer:

    Please check the attachment for the solution.

  • Answer:

    Option C

  • Answer:

    Option D

  • Answer:

    Let the monthly salary be R 100.

    Money given to mother = R 25

    Money remaining = R 75

    Money paid for rent = R 11.25

    Money kept aside for monthly expenses = R 18.75

    Thus, money kept in bank = R [100 – (25 + 11.25 + 18.75)]

                                                   = R [100 – 55]

                                                   = R 45

    Sum of amount given to mother and amount kept in bank = R [25 + 45] = R 70

    When assumed sum is R 70, then actual sum is R 42000

    So, when assumed sum is R 100, then actual sum is R 60000

  • Answer:

    Speed of car in the 1st part of the journey = 39(45/60) km/hr = 52 km/hr

     

    Speed of car in the 2nd part of the journey =  25 (35/60) km/hr = 300/7 km/hr = 42.85 km/hr

     

    Average speed = (52 + 42.85)/2 km/hr = (94.85)/2 km/hr = 47.43 km/hr

     

    So, the correct answer is E (None of the above).

     

  • Answer:

    Let the duration of the investment be ‘t’ and let the annual profits be divided proportionately by each.

    Also, let the total profits be ‘x’.

     

    So, A = R 64000; B = R 52000; C = R 36000

    Hence, A:B:C = 64:52:36 = 16:12:9

    Hence, the profit shares = 16x : 12x : 9x

     

    If 16x = 35584

    And 9x = (9 x 35584)/16 = R 20016

     

    So, C’s share of the annual profits = R 20016

    So, the correct option is E.

     

  • Question: Solve the differential equation: \(xdy-ydx+y^2dx=0\)

    Posted in: Mathematics | Date: 09/01/2018

    Answer:

    The solution is worked out in the attached document.

  • Answer:

    Hence, from the derivation in the attachment,

    h = 4a

    or h = 4(8) where a = 8

    or h = 32 cm

    and r = 8root2

  • Answer:

    Let the price of the bike be R 100.

    Thus, increased price = 25%   of R100 = R125

    Now, decrease in % of price with respect to the new price = (25/125) x 100 = 20%

  • Answer:

    Let the number be ‘x’.

    Therefore the new number = 2x/3

    And the actual new number = 3x/2

    Difference = (3x/2 – 2x/3) = (9x – 4x)/6 = 5x/6

    Thus, percentage error in calculation = (5x/6)/(3x/2) x 100 = (10x/18x) x 100 = 1000/18 = 55.56%

  • Answer:

    Let the original fraction be x/y

    Now, x + 25% of x = 5

    Or, x + 25x/100 = 5

    Or, 5x/4 = 5

    Or, x = 4

    And, y – 10% of y = 9

    Or, y – 10y/100 = 9

    Or, 9y/10 = 9

    Or, y = 10

    Thus, x/y = 4/10 = 2/5

  • Answer:

    Let the distance to be covered be x km

    Ratio of time taken:

    A:B:C =  12:15:10

    Sum of ratios = 12 + 15 + 10 = 37

    Speed of A = 60 km/hr

    Thus, 12x/37 = 60

    Or, x/37 = 5

    Or, x = 5(37) = 185

    Hence, Speed of B = 15(185)/37 = 75 km/hr

  • Answer:

    Let the charges per hour be R 100

    Thus, increase in charges = 25% of 100

    So, new charges = R 125

    Let the time taken to play a game be ‘T’ hr

    Thus, the decreased time = t hr

    Now, actual expenditure = R 110

    So, 125t = 100T + 10T

    Or, 125t = 110T

    Or, t = 22T/25

    Now, decrease in time = T – t = T – 22T/25 = 3T/25

    And % decrease = [(3T/25)/T]100 = 12%

  • Answer:

    [(4356)/2]/(11/4) = 792

    792/6 = 132

    So, 132 x 132 = √17424

    so, ? = 17424

  • Answer:

    centre = (5, 7)

  • Answer:

    x2 + y2 + 4x + 8y – 45 = 0

    x2 + 4x + y2 + 8y – 45 = 0

    or, x2 + 4x + 4 + y2 + 8y + 16 = 25

    or, (x + 2)2 + (y + 4)2 = 52

    so, centre = (– 2, – 4)

  • Answer:

    Let the Time taken be T hr.

    So, for T/2, Distance = 80 x T/2

    And, for T/2, Distance = 40 x T/2

    total distance = 60 = 80T/2 + 40T/2

                          = 60 = 120 T/2

                          = 60 = 60T

                          = 1 hr = T

    So, Avg. Speed = 60/1 = 60 km/hr

  • Answer:

                                                     A

                                                      I

                                                      I

       C ------------------------------------I B

    The question is wrong as C cannot be to the West of A. There is some missing data in this case.

     

  • Answer:

    The Relative Velocity of the ground with respect to Train B is 90 km/hr.

  • Question: What is relation between °c and °f

    Posted in: Physics | Date: 02/09/2018

    Answer:

    C/5 = (F-32)/9 where C = Celsius and F = Farenheiht

  • Question: name three physical quantities without dimension

    Posted in: Physics | Date: 02/09/2018

    Answer:

    1. Archemedes Number

    2. Chandrasekhar Number

    3. Decibel

  • Question: 29r2-10r-10

    Posted in: Mathematics | Date: 05/10/2018

    Answer:

    R = [–(–10) ± √(100 – 1160)]/2x29 = [100 ± √(– 1060)]/58 = [50 ± √(– 265)]/29 = [50 ± 16.28i]/29

  • Answer:

     

    A = - 14

    T5 = 2

    Now, t5 = a + (n-1)d

              2 = – 14 + (5 – 1)d

               16 = 4d

    D = 4

     

    Sn = n/2[2a – (n – 1)d]

    40 = n/2[– 28 – (n – 1)4]

    80 = n[- 28 – 4n + 4]

    80 = n[- 24 – 4n]

    20 = n[6 – n]

    n2 – 6n + 20 = 0

    n = [–(–6) ± √(36 – 80)]/2 = [6 ± √(– 44)]/2 = [6 ± 2√(– 11)]/2 = 3 ± 1(3.32) = 6.32 or 0.32

  • Answer:

     

    A = - 14

    T5 = 2

    Now, t5 = a + (n-1)d

              2 = – 14 + (5 – 1)d

               16 = 4d

    D = 4

     

    Sn = n/2[2a + (n – 1)d]

    40 = n/2[– 28 + (n – 1)4]

    80 = n[- 28 + 4n - 4]

    80 = n[- 32 + 4n]

    20 = n[-8 + n]

    n2 – 8n - 20 = 0

    n2 - 10 n + 2n - 20 = 0

    n(n - 10) + 2(n - 10) = 0

    (n - 10)(n + 2) = 0

    n = 10 or - 2

    As n cannot be negetive, na = 10 isthe correct answer.

  • Answer:

    Let the age of the son be ‘x’ years.

    Thus, Mr. Mohan’s age = 4x years

    After 10 years,

    Son’s age = x + 10 years

    Mr. Mohan’s age = 4x + 10

    Now, 2(x + 10) = 4x + 10

    Or 2x + 20 = 4x + 10

    Or 2x = 10

    Or x = 5 years

  • Answer:

    X-ray

  • Answer:

    Newton's third law of motion states that 'for every action there is an equal and opposite reaction'. When a gun is being shot, there are forces acting within it to make the bullet move forward and out. These forces are in the form of the kinetic energy of the bullet and the potential energy that is tored in it. When the bullet moves out with the help of the combination of force, acceleration and energy, there is also an equal and opposite combination of foce, energy and acceleration working on it, known as the 'recoil'. This recoil leads us to fall back. This is the same principle that provides 'thrust' to rockets before they can lift off to space.

  • Question: What are applications of Archimedes principle

    Posted in: Physics | Date: 18/10/2018

    Answer:

    The Archemedes' principle is used in designing ships, submarines, boats and hydrometers.

    Archemedes himself used it to find out the purity of gold.

    Fishes use the Archemedes priciple to rise up to the surface of waterbodies or to sink doen to their bottom.

  • Answer:

    Power (D) = 1/Focal Length (F)

    or, 0.2 = 1/F

    or, F = 1/0.2

            = 10/2

            = 5 m.

    Hence, the options given are wrong.

  • Question: Define 1newton

    Posted in: Physics | Date: 18/10/2018

    Answer:

    1 Newton is the measurement of the force exerted when a mass of 1 kg moves with an acceleration of 1 m per second sq.

    Hence, 1 N = 1 kg x 1 m/s2

                       = 1 kgm/s2

  • Question: Cross product of two vectors is a

    Posted in: Physics | Date: 18/10/2018

    Answer:

    The vector product of two vectors a and b is given by a vector whose magnitude is given by |a||b|sinθ (where0∘≤θ≤180∘), which stands for the angle between the two vectors. Note that the direction of the resultant vector is denoted by a unit vector ^n whose direction is perpendicular to both the vectors a and b in a way that a, b and ^n are oriented in right-handed system.

    Right-handed orientation happens when vector a is twisted in the direction of vector b, then the direction of the unit vector ^n goes in the direction in which a right-handed screw would spin if moved in a similar manner. Also, these given vectors a and b cannot be called null vectors or non-parallel in nature. The right-hand thumb rule gives a clear picture of the direction of the resultant vector.

     

    Therefore, we can conclude that, a×b = |a||b|sinθ ^n, where a×b stands for the cross product of two vectors. In any given situation, if the vectors are null or both the vectors are parallel to each other, then the cross product cannot be defined.

    In this case, we can conclude that a×b = 0

    Physical Representation

     

    Let’s assume that a and b are the adjacent sides of the parallelogram OACB and the angle between the vectors a and b is θ. Then, we can say that the area of the parallelogram is denoted by |a×b| = |a||b|sinθ.

    Properties of Cross Product of Two Vectors

    i) The vector product never has a Commutative Property. It is denoted by,

    a×b = – (b×a)

    ii) The property given below is true in the case of vector multiplication:

    (ka)×b= k(a×b) =a×(kb)

    iii) If the vectors mentioned are collinear then

    a×b= 0

    (Since the angle between both the vectors would be 0, then sin 0 = 0)

    iv) As per the above property

    We can conclude that the vector multiplication of a vector with itself would be a×a= |a||a|sin0 ^n = 0 Also, when it comes to unit vector notation

    ^j×^j=^j×^j=^k×^k =0

    As per the above discussion

    ^i×^j=^k=−^j×^i

     ^j×^k=^i=−^k×^j

    ^k×^i=^j=−^i×^k

    This example can be explained better with the help of the following diagram. When moving in clockwise direction and considering the cross product of any two pair of the unit vectors, we can derive the third one and we get the negativeresultant in anticlockwise direction.

    v) a × b in terms of unit vectors can be represented as

    a =a1^i+a2^j+a3^k

     b =b1^i+b2^j+b3^k

    Then →a×→b =(a1^i+a2^j+a3^k)(b1^i+b2^j+b3^k)

    When expanded, we would get

    |a||b|sinθ ^n = (a2b3–a3b2)^i+(a3b1–a1b3)^j+(a1b2–a2b1)^k

    vi) Distributive Law: a×(b+c) = a×b+a×c

  • Answer:

    Moment of inertia of a rod of length r = 1/3 (mr2)

    Given, mass of rod = m, length = l and < of rotation = theta

    Let, the radius of the circle of raotation be r.

    Thus, r = l cos theta

    and I = 1/3 (l cos theta)2

  • Answer:

    A ray of light bends when it travels from a optically denser medium to an optically lighter one or vice versa. This phenomenon is known as Refraction of Light.

    This change of direction of light is because of the change in the speed of light in different media. Also, the angle at which the ray of light moves from one medium to another, influences the angle of refraction of light. The greater the angle, the greater is the refraction.

  • Answer:

     

    Let the age of the son be x years.

    Thus, Mohan's age is 4x years.

    After 10 years,

    Son's age is (x + 10) years

    ans Mohan's age is (4x + 10) years

    Now, 4x + 10 = 2(x + 10)

    Or, 4x + 10 = 2x + 20

    Or, 2x = 10

    Or, x = 5

    So, present age of Mohan's son is 5 years.

  • Answer:

    Your question is incomprehensible. Please rewrite the question for us to answer it properly.

  • Question: (-15)+(-6)+3.. find the sum to 30terms

    Posted in: Mathematics | Date: 16/12/2018

    Answer:

    Given a = - 15; d = 9; n = 30

    Thus, S30 = 30/2 [2a + (30 – 1)d]

                   = 15 [2(–15) + 29(9)]

                   = 15 [–30 + 261]

                   = 15[231]

                   = 3465

  • Answer:

    Let the CP = ₹ 100

    Thus, MP = ₹ 140

    Discount = 10%

    So, SP = ₹ 140 - ₹ 14 = ₹ 126

    So, Profit = ₹ 26

    When Profit = ₹ 26, CP Profit = ₹ 100

    When Profit = ₹ 325, CP Profit = ₹ (325 x 100)/26 = ₹ 1250

  • Answer:

    Let the CP = ₹ 100

    Thus, MP = ₹ 140

    Discount = 10%

    So, SP = ₹ 140 - ₹ 14 = ₹ 126

    So, Profit = ₹ 26

    When Profit = ₹ 26, CP = ₹ 100

    When Profit = ₹ 325, CP = ₹ (325 x 100)/26 = ₹ 1250

  • Question: name three physical quantities without dimension

    Posted in: Physics | Date: 17/12/2018

    Answer:

    Physical quantities having units but no dimensions are: plane angle, angular displacement and solid angle.

  • Answer:

    Let mass of the body be ‘m’ and velocity be ‘v’.

    So, KE = ½ (mv2)

    Now, increase in mass = 10% of m

    Thus, new mass = m + m/10 = 11m/10

    Increase in velocity = 20% of v

    Thus, new velocity = v + v/5 = 6v/5

    Hence, new KE = ½[(11m/10)(6v/5)2]

                               = 198mv2/250

    So, increase in KE = 198mv2/250 – mv2/2 = 73mv2/250

    Hence, % increase in KE = [(73mv2/250)/(mv2/2)]100 = 58.4%

  • Question: Answer of these

    Posted in: Physics | Date: 17/12/2018

    Answer:

    2. (i) Speed may be described as the distance traversed by a body with rerspect to time.

    (ii) Instanteneous velocity may be described as the velocity of a body at a certain point of time.

    (iii) Velocity may be defined as the displacement of a body or a the ditance covered by it in a particular direction with respect to time.

    (iv) Acceleratio is the rate of change of velocity with rspect to time.

  • Question: Calculate the power of lens whose focal length is 10 mm.

    Posted in: Physics | Date: 17/12/2018

    Answer:

    Given focal length = 10 mm = 10/1000 m = 1/100 m = 0.01 m

    Thus, P = 1/f = 1/0.01 D = 100D

  • Question: The quantity mass×pressure/density is

    Posted in: Physics | Date: 17/12/2018

    Answer:

    Pressure = Force/Area = mg/cm2

    Density = mass/volume = m/cm3

    Thus, m x mg/cm2 x cm3/m = mg cm = mgh = Potential Energy.

    Thus, it is the formula for finding Potential Energy.

  • Answer:

    Since the bodies are of equal dimension and masses, then the centre of mass will be at the centre of the sphere B where the spheres are arranged as A, B and C respectively. Hence, distance of the Centre of Mass from the centre of A is equal to its diametre as its radius is the same as the radius of sphere B.

  • Answer:

    Given, v = v0; u = 0; height = S and acceleration = g

    So, v02 = u2 + 2gS

    As u = 0,

    v02 = 2gS

    S = v02/2g

    While, tripling the height, the acceleration due to gravity remains the same.

    So, 3S = 3 v02/2g

    Or, H = 3S

              = (√3 v0) 2/2g

    Hence, the velocity in case the height is tripled is √3 v0

  • Question: What is relative density?

    Posted in: Physics | Date: 17/12/2018

    Answer:

    Relative density of a substance means the density of an object at a particulart temperature with respect to the density of water at the same temperature.

  • Question: Difference Between P type and N type semiconductor

    Posted in: Physics | Date: 17/12/2018

    Answer:

    A pentavalent dopant such as Antimony are known as donor impurities since they donate an extra electron in the crystal structure which is not required for covalent bonding purposes and is readily available to be shifted to the conduction band. This electron does not give rise to a corresponding hole in the valence band because it is already excess, therefore upon doping with such a material, the base material such as Germanium contains more electrons than holes, hence the nomenclature N-type intrinsic semiconductors.

    On the other hand when a trivalent dopant such as Boron is added to Germanium additional or extra holes get formed due to the exactly reverse process of what was described in the upper section. Hence this dopant which is also known as acceptor creates a P-type semiconductor.

  • Question: What is forbidden energy gap

    Posted in: Physics | Date: 17/12/2018

    Answer:

    The portion of the energy band structure of a semiconductor or insulator between the valence andconduction bands. This portion does not contain a continuum of states as do the valence and conduction bands but may contain discrete states introduced by dopant or deep level impurities in the material.

  • Answer:

    The speed of a film (or film speed), refers to the measure of a film's sensitivity to light. Each film speed is best suited for a different type of photography. The lower the speed, the longer an exposure to light is necessary to produce image density. If the film speed is higher, it requires less exposure but generally has reduced quality in the form of grain and noise. Noise and grain are the abnormalities in brightness and colour in images; they look similar to a layer of "snow" on a television set. They're measured using the ISO system from the International Organization for Standardization, and are the giant numbers typically seen on a box of film. The abbreviation ASA (American Standard Association) is also used in conjunction with film speed. ASA and ISO are interchangeable.

  • Answer:

    Total time taken = 1 hr and 30 minute = 90 minutes

    Total stoppage time = 12 x 2 = 24 minutes

    Thus, total travelling time = 90 – 24 = 66 minutes = 1 1/10 hr = 11/10 hr

    Speed = 40 km/hr

    Thus, distance = Speed x Time = 40 x 11/10 = 44 km

  • Answer:

    Let the Principal be P and Rate be R

    Thus, A = 2P

    Hence, SI = A – P = 2P – P = P

    T = 10 years

    Thus, R = (100 x P)/(P x 10) = 10%

  • Answer:

    CP = ₹ 12500; Transport = ₹ 300; Installation = ₹ 800

    Thus, total CP = ₹ 13600

    P% = 15% = (P/CP)100

    Hence, P = (15 x 13600)/100 = ₹ 2040

    Thus, SP = CP + P = ₹ 13600 + ₹ 2040 = ₹ 15640

  • Answer:

    Investment of A:B:C = ₹ 12000 : ₹ 15000 : ₹ 18000 = 4 : 5 : 6

    Sum of ratios = 4 + 5 + 6 = 15

    A’s share = 4x/15

    B’s share = 5x/15

    C’s share = 6x/15

    A’s share of profit = ₹ 3000

    Thus, 4x/15 = ₹ 3000

    Or, x = ₹ (750 x 15) = ₹ 11250 = Total Profit

  • Answer:

    Let the CP be ₹ 100.

    Therefore, the MP is 40% of CP = ₹ 140.

    Discount is 20%of MP = ₹ (20 x 140)/100 = ₹ 28.

    Thus, actual SP = ₹ (140 – 28) = ₹ 112.

    Thus, Profit = ₹ (112 – 100) = ₹ 12.

    Profit % = (P/CP)  x 100 = (12/100) x 100 = 12%

  • Question: If A={2,4,5} , B={7,8,9}, then n(A x B) is equal to

    Posted in: Mathematics | Date: 18/12/2018

    Answer:

    Given A = {2, 4, 5} and B = {7, 8, 9}

    Thus, A x B = {(2, 7), (2, 8), (2, 9), (4, 7), (4, 8), (4, 9), (5, 7), (5, 8), (5, 9)}

    Hence, n(A x B) = 9

    So, the correct option is B.

  • Answer:

    Public

  • Answer:

    Let the distance travelled be ‘x’ km on each side.

    Speed (Uphill) = 10 km/hr

    Thus, Time (Uphill) = x/10 hr ……………… (i)

    Speed (Downhill) = 36 km/hr

    Thus, Time (Downhill) = x/36 hr ……………… (ii)

    Total time = x(1/10 + 1/36) hr

                       = x(18 + 5/180) hr

                        = 23x/180 hr

    Average time = 23x/360

    Total distance = x km

    Hence average speed = (x/23x)360 = 360/23 = 15.65 km/hr

  • Answer:

    Let the fourth proportional be x

    Thus, 100:50 :: 40:x

    Or, 100/50 :: 40/x

    Or, 2 :: 40/x

    Or, x = 40/2 = 20

  • Question: Find the value of x from \(-2x^2 + 7x - 6\) .

    Posted in: Mathematics | Date: 05/03/2019

    Answer:

    –2x2 + 7x – 6

    = 2x2 – 7x + 6

    = 2x2 – 4x – 3x + 6

    = 2x(x – 2) – 3(x – 2)

    = (x – 2)(2x – 3)

    Or, x = 2 and 3/2

  • Answer:

    The mean age of 25 students is 12 years.

    Thus, total age of 25 students = 25 x 12 = 300 years

    The mean age of 25 students and 1 teacher = 13 years

    Thus, total age of 25 students and 1 teacher = 26 x 13 = 338 years

    Thus, the age of the teacher = 338 – 300 = 38 years

  • Answer:

    Given,

    Distance travelled in 30 minutes = 30 km

    Thus, v1 = 60 km/hr

     

    And distance travelled in 40 minutes = 30 km

    Thus, v2 =  45 km/hr

     

    Thus, average velocity =  52.5 km/hr

    Given,

    Distance travelled in 30 minutes = 30 km

    Or, distance travelled in   hour = 30 km

    Thus, v1 =  =  =

     

    And distance travelled in 40 minutes = 30 km

    Or, distance travelled in =  hours = 30 km

    Thus, v2 =  =  =

     

    Thus, average velocity =  =  =

  • Answer:

    As the speed of the stream has not been mentioned, the correct option is (d).

  • Answer:

    For the given question, all three statements are sufficiaent to answer it.

  • Answer:

    The dimensions of a/b would be in meters/second.

  • Answer:

    Time taken to travel first 30 km = 30 min = ½ hours

    Thus, Velocity1 = 60 km/hr

    Time taken to travel next 30 km = 40 minutes = 2/3 hours

    Thus, Velocity2 = 45 km/hr

    Thus, average velocity = (60 + 45)/2 = 105/2 = 52.5 km/hr

  • Answer:

    The other name for Boolean Algebra is Binary Algebra or Logical Algebra. It was developed in 1854.

  • Answer:

    Ratio of men:women = 5:6. Thus, sum of ratios = 5+6 =11 Let the total number of members = x So, men candidates = 5x/11 And, no. of women = 6x/11 Now, new number of men = 5x/11 + 20/100(5x/11) = 6x/11 And, new number of women = 6x/11 + 10/100(6x/11) = 6x/11 (1 + 1/10) = 6x/10 Hence, new ratio = 6x/11:6x/10 = 11:10

  • Answer:

    Acceleration can be opposite to velocity if the object experiencing the same is slowing down.

  • Question: How to take direction of tension on string?

    Posted in: Physics | Date: 28/07/2019

    Answer:

    The direction of tension of a string will always be opposite to the direction of the mass on the string. If there is a mass hanging down from a string then the direction of tension will be upward because the string will always try to pull the mass upwards.

  • Question: A suitable unit for gravitational constant is

    Posted in: Physics | Date: 28/07/2019

    Answer:

    A suitable unit for Gravitational Constant is G, where G = 6.673×10^(-11) N m2 kg-2

  • Question: What is the first principle of focus?

    Posted in: Physics | Date: 28/07/2019

    Answer:

    The first principal focus is defines as a fixed point on the principal axis such that rays starting from this point (in convex lens) or appearing to go towards this point (concave lens), after refraction through the lens, becomes parallel to the Principal Axis. It is represented as F1.

  • Answer:

    As D = 1/f,

    so focal length of the lens will be 1/2f.

    Also, as D is negetive, the nature of the lens is concave.

  • Answer:

    Let the age of Bineesh be 'x' years

    Thus, Kiran's age is 'x - 7 ' years.

    now, Kiran : Bineesh = 7 : 9

    Thus, 9(x - 7) = 7 x

    or, 9x - 63 = 7x

    or, 9x - 7x = 63

    or, 2x = 63

    or, x = 31.5 years

    Thus, Bineesh's age is 31.5 years

    Hence, Kiran's age is 31.5 - 7 = 24.5 years

  • Answer:

    Given, m : w = 5 : 6

    Sum of ratios = 5 + 6 = 11

    Thus, no. of men = 5x/11

    And no. of women = 6x/11 

    New Composition = (m + 20m/100) : (w + 10w/100)

                                 = 6m/5 : 11w/10

                                 = 12m : 11w

                                 = 12(5x/11) : 11(6x/11)

                                 = 60x/11 : 66x/11

                                 = 10x : 11x

                                 = 10 : 11

  • Question: Factorise :15pq+15+9q+25p

    Posted in: Mathematics | Date: 31/07/2019

    Answer:

    15pq + 15 + 9q + 25p

    By rearranging we have,

    15pq + 25p + 9q + 15

    = 5p(3q + 5) + 3(3q + 5)

    = (3q + 5)(5p + 3)

  • Question: Solve the math question below.

    Posted in: Mathematics | Date: 06/08/2019

    Answer:

    Let the no. of registered voters be x

    No. of votes cast = 60% of x = 3x/5

    A – B = 600 … … … … … … (i)

    And, A + B = 3x/5 … … … … … … (ii)

    Now, B + 40% of B = A

    Or, 7B/5 = A … … … … … … (iii)

    Or, 7B = 5A

    From (i) and (iii),

    7B/5 – B = 600

    Or, 7B – 5B = 3000

    Or, 2B = 3000

    Or, B = 1500

    Thus, A = 1500 + 600 = 2100

    Substituting A and B in (ii),

    2100 + 1500 = 3x/5

    Or, 3600 = 3x/5

    Or x = 6000

    Thus, no. of registered voters = 6000

  • Question: Please help me to solve the problem.

    Posted in: Mathematics | Date: 06/08/2019

    Answer:

    x[25% of x] = 200% of x + x

    Or, x[x/4] = 3x

    Or, x = 12

    So, correct option is (i)

  • Answer:

    At any time t, a projectile's horizontal and vertical displacement are:

    x = VtCos θ where V is the initial velocity, θ is the launch angle

    y = VtSinθ – ½gt^2

    The velocities are the time derivatives of displacement:

    Vx = VCosθ (note that Vx does not depend on t, so Vx is constant)

    Vy = VSinθ – gt

    At maximum height, Vy = 0 = VSinθ – gt

    So at maximum height, t = (VSinθ)/g [total flight time = 2t]

    The range R of a projectile launched at an angle θ with a velocity V is:

    R = V^2 Sin2θ / g ….. (1)

    The maximum height H is

    H = V^2 Sin^2(θ) / 2g ….. (2)

    In this case, we know that V = 30m/s and θ = 30°

    Therefore, after 1s,

    Vx = VCosθ = 30Cos30 = 25.98m/s

    Vy = VSinθ – gt = 30Sin30 – 9.81(1) = 5.19m/s

    The total velocity after 1s is V(1) = √(25.98^2 + 5.19^2) = 26.49m/s

  • Question: How many classes of levers are there?

    Posted in: Physics | Date: 06/08/2019

    Answer:

    A. Three classes - 1st class (load > fulcrum > effort); 2nd class (effort > load > fulcrum); 3rd class (load > effort > fulcrum)

  • Question: What is the unit of the surface tension?

    Posted in: Physics | Date: 07/08/2019

    Answer:

    N/m or dyn/cm

  • Answer:

    Let his total income be Rs 100

    Thus, Income given to his elder son is 30% of 100 = Rs 30

    Income given to younger son = 20% of 100 = Rs 20

    Thus, income remaining = Rs 100 - (20 + 30) = Rs 50

    Income given to the beggar = 10% of 50 = Rs 5

    Income reamining = Rs (50 - 5) = Rs 45

    When income left behind is Rs 45, then actual income is Rs 100

    When income left behind is Rs 10080, then actual income is Rs (10080 x 100)/45 = Rs 22400

  • Answer:

    Since both the numbers are prime numbers, then they can either be divided by 1 or by themselves. Thus, the product of the prime numbers is also the LCM ofthe prime numberd.

    Hence, the LCM is 493.

  • Question: Which metals form amalgam?

    Posted in: Physics | Date: 13/08/2019

    Answer:

    Almost all metals form amalgams with Mercury.

  • Question: Effects of stress in elasticitY

    Posted in: Physics | Date: 13/08/2019

    Answer:

    The strain experienced by an object is directly proportional to the stress applied. Stress is the force applied on a body to induce change in its shape.

  • Answer:

    We know that v = (3RT/M)1/2

    If T is increased 4 times the,

     

    v = (3R4T/M)1/2

    or, v = 2(3RT/M)1/2

    v = 2v

    Thus, the increase in T to four times its values will lead to increase in RMS velocity to twice its value.

  • Question: Name two submultiple of the unit kilogram

    Posted in: Physics | Date: 29/08/2019

    Answer:

    Milligram, centigram, decigram, gram, decagram, hectogram

  • Answer:

    Given, x = 2t3 – 3t2 + 2t + 2

    Thus, differentiating with respect to t, we have,

     = 3(2t2) – 2(3t) + 2

         = 6t2 – 6t

         = 6t(t – 1)

    Or,  = 12t – 6

    Substituting t = 2 sec,

    x = 2(2)3 – 3(2)2 + 2(2) + 2 = 16 – 12 + 4 + 2 = 10 m

    x' =  6(2)(2 – 1) = 12 m/s

    x" = 12(2) – 6 = 18 m/s2

  • Answer:

    (11.92)^2 + (16.01)^2 = ?^2 + (3.85)^2

    Let ? be x

    So, (11.92 + 16.02)^2 - 2(11.92x16.01) = x^2 + (3.85)^2

    or, (27.94)^2 - (3.85)^2 - 11.92x32.02 = x^2

    or, (27.94 + 3.85)(27.94 - 3.85) - 381.68 = x^2

    or, 31.79 x 24.09 - 381.68 = x^2

    or, 765.82 - 361.68 = x^2

    or, 404.14 - x^2

    or, x = 20.10

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