Daily Olympiad: Quantitative Aptitude - Ratio Proportion [20260511]

Challenge yourself with today's CAT practice! This test covers 'Ratio Proportion' for Quantitative Aptitude (CAT - Graduate). Level: Hard | Duration: 45 mins.

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1. A solution contains liquids A and B in the ratio 4:7. If 14 liters of the mixture is drawn off and replaced with liquid B, the ratio becomes 2:5. What was the original volume of the mixture?

Solution
Correct: B
Let the original volume be V liters. The removal and replacement process follows the formula: Final ratio = (Initial ratio * (1 - 14/V)^1) + (Replacement component * (14/V)). For liquid A, initial ratio 4/11 becomes (4/11)(1 - 14/V), and final ratio 2/7. Solve (4/11)(1 - 14/V) = 2/7 => (1 - 14/V) = 11/14 * 2/4 = 11/28. Thus, 14/V = 17/28 => V = 14*28/17 ≈ 56 liters.

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