Ratios Matching List

CMAT 2025 · Quantitative Techniques & Data Interpretation · Medium · Ratio and Proportion

Match List I with List II :

List IList II
A. If 4a=5b4a = 5b and 7b=9c7b = 9c, then a:b:ca : b : c is equal toI. 7:9:117 : 9 : 11
B. If A=1/4BA = 1/4 B and B=1/2CB = 1/2 C, then A:B:CA : B : C is equal toII. 45:36:2845 : 36 : 28
C. If P:Q:R=2:3:4P : Q : R = 2 : 3 : 4, then P/Q:Q/R:R/PP/Q : Q/R : R/P is equal toIII. 1:4:81 : 4 : 8
D. If a/7=b/9=c/11a/7 = b/9 = c/11, then a:b:ca : b : c is equal toIV. 8:9:248 : 9 : 24

Choose the correct answer from the options given below :

  1. A.

    A-IV, B-II, C-I, D-III

  2. B.

    A-IV, B-III, C-I, D-II

  3. C.

    A-II, B-III, C-I, D-IV

  4. D.

    A-II, B-III, C-IV, D-I

Answer

D

Explanation

A: a/b=5/4=45/36a/b = 5/4 = 45/36 and b/c=9/7=36/28  ⟹  a:b:c=45:36:28b/c = 9/7 = 36/28 \implies a:b:c = 45:36:28 (II). B: A:B=1:4A:B = 1:4 and B:C=1:2=4:8  ⟹  A:B:C=1:4:8B:C = 1:2 = 4:8 \implies A:B:C = 1:4:8 (III). C: P/Q:Q/R:R/P=2/3:3/4:4/2=8:9:24P/Q : Q/R : R/P = 2/3 : 3/4 : 4/2 = 8 : 9 : 24 (IV). D: a:b:c=7:9:11a:b:c = 7:9:11 (I).

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