CAT 2023 Alligations and Mixtures Question (Medium)

Question

A container has a mixture containing three fourth of milk and remaining is water. After diluting the mixture with water, final mixture contains half milk and half water. How much of the liquid will be extracted and replaced with water?

Optima Learn · Accepted Answer

Understanding the Setup Let total volume 1, initial milk 3 4. Extracting fraction x and replacing with water leaves milk 3 4 1 x . Analyzing and Solving Setting this equal to the final 1 2 3 4 1 x 1 2 1 x 2 3 x 1 3. Evaluating the Options a 1 2 and b 1 4 do not satisfy 3 4 1 x 1 2 when substituted.

CAT 2023 Alligations and Mixtures — Previous Year Question

CAT 2023

Quantitative

Alligations and Mixtures

Medium

Crack Your CAT Interviews with Confidence!

FEATURES

PRACTICE

FREE RESOURCES

MENTORSHIP