Ratio, Proportion

Ratio, Proportion

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Aptitude miscellaneous
  1. What number should be subtracted from each of the number 54, 71, 75 and 99 so that the remainders may be proportional ?








  1. View Hint View Answer Discuss in Forum

    Let the required number be N,
    From question, (54 - N) / (71 - N) = (75 - N) / (99 - N)

    Correct Option: C

    Let the required number be N,
    From question, (54 - N) / (71 - N) = (75 - N) / (99 - N)
    ⇒ (54 - N) x (99 - N) = (75 - N) x (71 - N)
    ⇒ N2 - 153N + 5346 = N2 - 146N + 5325
    ⇒ 7N = 21
    ∴ N = 3

  1. What number should be added to each one of 6, 14, 18 and 38 to make them equally proportionate ?








  1. View Hint View Answer Discuss in Forum

    Let the number be N,
    From question, (6 + N) / (14 + N) = (18 + N) / (38 + N)

    Correct Option: B

    Let the number be N,
    From question, (6 + N) / (14 + N) = (18 + N) / (38 + N)
    ⇒ (6 + N) x (38 + N ) = (18 + N ) x (14 + N )
    ⇒ N2 + 44N + 228 = N2 + 32N + 252
    ⇒ 12N = 24
    ∴ N = 2

  1. A fraction bears the same ratio to 1/27 as 3/7 does to 5/9. The fraction is ?








  1. View Hint View Answer Discuss in Forum

    From question, N : 1/27 = 3/7 : 5/9
    ⇒ 5/9 x N = 1/27 x 3/7

    Correct Option: B

    From question, N : 1/27 = 3/7 : 5/9
    ⇒ 5/9 x N = 1/27 x 3/7
    ⇒ 5/9 x N = 1/63
    ∴ N = (1/63) x (9/5) = 1/35

  1. What must be added to each term of the ratio 7 : 13 so that the ratio becomes 2 : 3 ?








  1. View Hint View Answer Discuss in Forum

    ∵ (7 + N) / (13 + N) = 2/3
    ⇒ 3(7 +N) = 2(13 + N)

    Correct Option: D

    ∵ (7 + N) / (13 + N) = 2/3
    ⇒ 3(7 +N) = 2(13 + N)
    ∴ N = 5

  1. In a ratio which is equal to 5 : 8. If the antecedent is 40 then consequent is ?








  1. View Hint View Answer Discuss in Forum

    ∵ 5 : 8 : : 40 : N
    N = (40 x 8) / 5

    Correct Option: B

    ∵ 5 : 8 : : 40 : N
    N = (40 x 8) / 5
    ∴ consequent N = 64