Quantitative Aptitude Trivia Quiz!

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  • 1/20 Questions

    Present ages of Ram and Shyam are in the ratio of 4 : 5 respectively. Five years hence the ratio of their ages becomes 5 : 6 respectively. What is Ram’s present age?

    • 25
    • 22
    • 20
    • 30
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Quantitative Aptitude Trivia Quiz! - Quiz

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  • 2. 

    How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?

    • 36

    • 42

    • 54

    • 63

    Correct Answer
    A. 63
    Explanation
    Apply the rule of Alligation.
    9 per kg should be mixed with 7 per kg to get the mixture costing 8.4 per kg (Not 9.24 as it is SP)
    Note : SP = 9.24, profit = 10%. So CP = 8.4

    So the ratio will be 7:3.
    3 parts corresponds to 72 kg. So 7 parts will be 63 Kg.

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  • 3. 

    Two cyclist begin training on an oval racecourse at the same time. The professional cyclist completes each lap in 4 minutes; the novice takes 6 minutes to complete each lap. How many minutes after the start will both cyclist pass at exactly the same spot where they began to cycle?

    • 8

    • 10

    • 12

    • 14

    Correct Answer
    A. 12
    Explanation
    This question is an application of LCM.
    LCM of 4, 6 = 12

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  • 4. 

    In how many ways can 3 distinct letters can be posted in 5 distinct postboxes?

    • 27

    • 15

    • 125

    • 60

    Correct Answer
    A. 125
    Explanation
    Consider letter point of view. 1st letter can be posted in any of the five postboxes. Similarly letter 2 and letter 3. Each 5 ways. So the total number of ways will be 5 * 5 * 5 = 125

    For these kind of problems, remember this . (Immovable)^ Movable
    Postboxes - Immovable and Letters - movable

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  • 5. 

    A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:

    • 25

    • 20

    • 16.66

    • 12.5

    Correct Answer
    A. 20
    Explanation
    This can be solved using alligation concept. For this question, rule of alligation is lengthy.

    Alternate approach:

    Think logically. Gain % = 25, i.e 1/4 gain.
    Here gain is because of addition of water. So considering 4 parts to be milk, 1 part extra water is added.
    So total we have 5 parts. Water 1 part and milk 4 parts.
    Thus, percentage of water in the mixture is 1/5 = 20%

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  • 6. 

    Painter A can paint a house in 16 days, and painter B can do the same work in 20 days. With the help of painter C, they paint the house in 8 days only. Then, Painter C alone can do this task in ___ days.

    • 80

    • 85

    • 79

    • 76

    Correct Answer
    A. 80
    Explanation
    Avoid fractions in time and work. Apply LCM method.
    Basic rule to remember is Efficiency * Time taken = Total work
    Assume total work = LCM (16, 20, 8) = 80.
    Efficiency of A is 80/16 = 5 work/day.
    Efficiency of B is 80/20 = 4 work/day.
    Efficiency of (A+B+C) = 80/8 = 10 work/day.
    So efficiency of C will be 10 - (4+5) = 1 work/day.
    Hence time taken by C will be 80/1 = 80 days

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  • 7. 

    If the price of an item is decreased by 10% and then increased by 10%, the net effect on the price of the item is:

    • 1% decrease

    • 10% increase

    • 1% increase

    • 10% decrease

    • No change

    Correct Answer
    A. 1% decrease
    Explanation
    Concept of successive percentage change
    X = (a+b) + (a*b)/100
    a, b are the changes. x is the resultant.
    a = +10
    b = -10
    Solving we get, x value -1
    So Net effect is 1% decrease.

    We can also assume initial value to be 100. Now decreasing 10% we get 90. Now again increasing 10% on 90 we get 99.
    So Net effect is drop from 100 to 99. i.e 1 % decrease

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  • 8. 

    A paddleboat can row at 13 km/hr in still water. Find the time taken (in hours) by the paddleboat to travel 68 km along the stream, if the speed of the stream is 4 km/hr.

    • 2

    • 3

    • 4

    • 5

    Correct Answer
    A. 4
    Explanation
    Speed of boat -x
    Speed of water - y
    Upstream speed = x-y
    Downstream speed = x+y

    We know Distance = Speed * Time

    So time = 68 / (13+4) = 4 hours

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  • 9. 

    By selling an item at a certain price, a merchant gains 20%. If he sells it at the double price, then the profit percentage will be?

    • 40

    • 100

    • 120

    • 140

    Correct Answer
    A. 140
    Explanation
    Assuming CP as x and then you can procced solving. But its time consuming.

    Just assume CP = 100. Profit 20%, So, SP = 120
    Now its sold at double the price. So new SP will be 120*2 = 240.
    Now profit percentage will be 140%.

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  • 10. 

    The surface area of a cuboid is 88 sq.cm, and its edges are in the ratio 1 : 2 : 3. What is the volume the cuboid (in cubic metre) ?

    • 24

    • 64

    • 48

    • 44

    Correct Answer
    A. 48
    Explanation
    Surface Area = 2*(lb + bh + hl)
    l-length, b-breadth, h-height

    1:2:3 will be the 3 dimensions. So 1x, 2x, 3x

    Thus 88 = 2* (1x*2x + 2x*3x + 3x*1x) = 2 * 11 x^2
    x= 2
    So volume equals l * b * h, i.e 2*4*6 = 48 cubic metre

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  • 11. 

    The average monthly salary of 20 employees in a factory is Rs. 1500. If the salary of manager is added, then the average salary increases by Rs. 100. Find the monthly salary of manager?

    • 3100

    • 2600

    • 3600

    • 2880

    Correct Answer
    A. 3600
    Explanation
    Average = Total salary of employees / No. of employees.
    Salary of the manager = Rs. (1600x21 - 1500x20) = Rs. 3600

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  • 12. 

    ___, 11, 24, 75, 304

    • 8

    • 5

    • 10

    • 9

    Correct Answer
    A. 10
    Explanation
    The pattern is Multiply by 1 and add 1, multiply by 2 and add 2, etc..

    10*1+1 = 11
    11*2+2 = 24,
    ..........
    ........

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  • 13. 

    How many words can be formed by using all the letters of the word 'DAUGHTER' so that the vowels always come together?

    • 4320

    • 4325

    • 4200

    • 4326

    Correct Answer
    A. 4320
    Explanation
    Given word contains 8 different letters.
    When the vowels AUE are always together, we may suppose them to form an entity, treated as one letter.
    Then, the letters to be arranged are DGHTR(AUE). These 6 letters can be arranged in 6P6 = 6! = 720 ways.
    The vowels in the group (AUE) may be arranged in 3! = 6 ways.
    Required number of words = (720 x 6) = 4320.

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  • 14. 

    Compare x and y6 x² – 19 x + 15 = 010 y² – 29 y + 21 = 0 

    • X>y

    • X

    • X ≥ y

    • X ≤ y

    • X = y or no relation can be established between ‘x’ and ‘y’

    Correct Answer
    A. X ≥ y
    Explanation
    Solving we get, x = 10/6, 9/6 and y = 14/10, 15/10

    10/6 > 14/10
    10/6 > 15/10
    9/6 > 14/10
    9/6 = 15/10

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  • 15. 

    When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 11?

    • 1/12

    • 11/12

    • 3/11

    • 11/36

    Correct Answer
    A. 11/12
    Explanation
    This is a pattern. Try to remember this.P (Sum less than or equal to 11) = Total probability - (Sum greater than or equal to 11) = 1 - (2+1)/36 = 1-1/12 = 11/12

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  • 16. 

    115% of 4880 - 85% of 1640 = ?

    • 4018

    • 3978

    • 4218

    • 4320

    Correct Answer
    A. 4218
    Explanation
    115% = 100% + 10% + 5%
    100% of 4880 = 4880
    10% of 4880 = 488
    5% of 4880 = 244.

    85% = 100% - 10% - 5%
    100% of 1640 = 1640
    10% of 1640 = 164
    5% of 1640 = 82

    Solving we get,

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  • 17. 

    What is the total number of divisors of 600 (including 1 and 600)?

    • 23

    • 24

    • 25

    • 26

    Correct Answer
    A. 24
    Explanation
    Prime factorizing 600 we get 2^3 * 3^1 * 5^2
    So no of factors will be 4*2*3 = 24
    1 and 600 are also factors and they are included in the calculation.

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  • 18. 
    Read the graph and answer questions . Income and Expenditure of a company over the year (in lakhs of rupees). The ratio of the average income of all the years to the average profit is: - ProProfs

    Read the graph and answer questions . Income and Expenditure of a company over the year (in lakhs of rupees). The ratio of the average income of all the years to the average profit is:

    • 24:13

    • 48:17

    • 12:7

    • 6:5

    Correct Answer
    A. 48:17
    Explanation
    Profit = Income = Expenditure
    Total income = (30 + 50 + 40 + 60 + 60) = 240
    Total profit = (10 + 20 + 10 + 20 + 25) = 85
    So Ratio = (240/5) / (85/5) = 48/17

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  • 19. 

    A box contains 10 red and 10 yellow balls. The probability of drawing two balls of the same color is:

    • 10/19

    • 5/19

    • 9/19

    • 9/38

    Correct Answer
    A. 9/19
    Explanation
    Total number of balls = 20.
    Let S be the sample space. Then,
    n(S) = Number of ways of drawing 2 balls out of 20 = 20C2
    Let E = event of drawing 2 balls of the same color.
    n(E) = 10c2 + 10c2 (Both red or both yellow)
    So P(E) = n(E) / s(E)
    Solving we get 9/19

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  • 20. 
    Read the graph and answer questions . Income and Expenditure of a company over the year (in lakhs of rupees). What is the percentage increase of profit from 1982 to 1983? - ProProfs

    Read the graph and answer questions . Income and Expenditure of a company over the year (in lakhs of rupees). What is the percentage increase of profit from 1982 to 1983?

    • 20%

    • 100%

    • 50%

    • 200%

    Correct Answer
    A. 100%
    Explanation
    Profit in 1982 = 10
    Profit in 1983 = 20
    Percentage increase = (20-10)/10 * 100 = 100%

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Quiz Review Timeline (Updated): Mar 21, 2022 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 21, 2022
    Quiz Edited by
    ProProfs Editorial Team
  • Aug 07, 2017
    Quiz Created by
    Ashwin
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