Ratio, Proportion

Ratio, Proportion

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Aptitude miscellaneous
  1. The Ratio Between the rates of walking of A and B is 2: 3. If the time taken by B to cover a certain distance is 36 minutes, then time taken by A to cover that much distance is ?








  1. View Hint View Answer Discuss in Forum

    Ratio of times taken = 1/2: 1/3

    Correct Option: B

    Ratio of times taken = 1/2: 1/3

    1/2 : 1/3 = y : 36
    1/3y = 1/2 x 36
    y=54 min

  1. The sum of three numbers is 68. If the ratio between first and second be 2 : 3 and that between second and third be 5 : 3, then the second number ?








  1. View Hint View Answer Discuss in Forum

    Let the 3 numbers are a, b, c.
    Then, a/b = 2/3, b/c = 5/3
    ⇒ a/b = (2 x 5) / (3 x 5) = 10/15
    and b/c = (5 x 3)/(3 x 3) = 15/9
    ⇒ a : b : c = 10 : 15 : 9

    Correct Option: A

    Let the 3 numbers are a, b, c.
    Then, a/b = 2/3, b/c = 5/3
    ⇒ a/b = (2 x 5) / (3 x 5) = 10/15
    and b/c = (5 x 3)/(3 x 3) = 15/9
    ⇒ a : b : c = 10 : 15 : 9

    Let the number be 10y, 15y and 9y.
    Then, 10y + 15y + 9y = 68
    ⇒ 34y = 68
    ⇒ y = 2

    ∴ Second number = 15y
    = 15 x 2
    = 30.

  1. Three number are in the ratio 3 :4 : 5 . The sum of the largest and the smallest equals the sum of the third and 52. The smallest number is ?








  1. View Hint View Answer Discuss in Forum

    Let the numbers be 3N, 4N and 5N.
    Then, 5N + 3N = 4N + 52

    Correct Option: C

    Let the numbers be 3N, 4N and 5N.
    Then, 5N + 3N = 4N + 52
    ⇒ 4N = 52
    ⇒ N = 13
    ∴ Then smallest number = 3N = 3 x13 = 39.

  1. Rs. 5625 is divided among A, B and C so that A may receive 1/2 as much as B and C together receive and B receives 1/4 of what A and C together receive. The share of A is more than that of B by ?








  1. View Hint View Answer Discuss in Forum

    ∵ A = (B + C)/2
    ⇒ B + C = 2 A
    ⇒ A + B + C = 3A
    Thus 3A = 5625
    ⇒ A = Rs. 1875

    Again B = ( A + C )/4
    ⇒ A + C = 4B
    ⇒ A + B + C = 5B
    ∴ 5B = 5625
    ∴ B = Rs. 1125

    Correct Option: A

    ∵ A = (B + C)/2
    ⇒ B + C = 2 A
    ⇒ A + B + C = 3A
    Thus 3A = 5625
    ⇒ A = Rs. 1875

    Again B = ( A + C )/4
    ⇒ A + C = 4B
    ⇒ A + B + C = 5B
    ∴ 5B = 5625
    ∴ B = Rs. 1125

    Thus A's share is more than that of B by Rs. (1875-1125) I.e. Rs. 750.

  1. A certain amount was divided between Kavita and Reena in the ratio 4 : 3. If Reena's share was Rs. 2400. The amount is ?








  1. View Hint View Answer Discuss in Forum

    Let their shares be Rs. 4x and Rs. 3x.
    Then 3x = 2400
    ⇒ x = 800

    Correct Option: A

    Let their shares be Rs. 4x and Rs. 3x.
    Then 3x = 2400
    ⇒ x = 800
    ∴ Total amount = 7x = Rs. 5600