CLAT - Mathematical Ability - Ratio and Proportion

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Question - 1

If A : B : C = 2 : 3 : 4, then \(\frac{A}{B}:\frac{B}{C}:\frac{C}{A}=?\)

  • A 8: 9 : 16
  • B 8: 9: 12
  • C 8: 9 : 24
  • D 4: 9: 16

Question - 2

If \(\frac{1}{x}:\frac{1}{y}:\frac{1}{z}=2:3:5\), then x: y : z?

  • A 2: 3: 5
  • B 15: 10: 6
  • C 5: 3: 2
  • D 6: 10: 15

Question - 3

If \(\frac{x^3+3x}{3x^2+1}=\frac{341}{91}\), find x.

  • A 11
  • B 12
  • C 13
  • D 10

Question - 4

If 6a2 - ab :2ab - b2 = 6 : 1, find a: b.

  • A 2: 4
  • B 2: 3
  • C 2: 5
  • D 1: 4

Question - 5

Find three numbers in the ratio 1 : 2 : 3, so that the sum of their squares is equal to 504.

  • A 6, 12, 18
  • B 6, 12,20
  • C 6, 13, 18
  • D 5, 12, 18

Question - 6

A, B, C and D are four quantities of the same kind such that than A : B = 3 : 4, B : C = 8 : 9, C : D = 15 : 16. Than A: D is

  • A 3: 8
  • B 5: 9
  • C 5: 7
  • D 5: 8

Question - 7

Divide Rs.162 in the ratio 2: 7.

  • A 35, 126
  • B 34, 126
  • C 36, 126
  • D 34, 125

Question - 8

If \(\frac{x}{a}=\frac{y}{b}=\frac{z}{c}\), then \(\frac{ax-by}{(a+b)(x-y)}\) is

  • A 2
  • B 3
  • C 4
  • D 1

Question - 9

If \(\frac{x}{b+c-a}=\frac{y}{c+a-b}=\frac{z}{a+b-c}\), then (b - c) x + (c - a) y + (a - b) z =

  • A 1
  • B 0
  • C 3
  • D 4

Question - 10

The two numbers such that the mean proportional between them is 24 and the third proportional to them is 192.

  • A 12,48
  • B 11,48
  • C 13,49
  • D 50, 72
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