Evaluating final mixture ratios after two-way liquid transfers
Question
There are two containers X and Y. X contains 100 ml of milk and Y contains 100 ml of water. 20 ml of milk from X is transferred to Y. After mixing well, 20 ml of the mixture in Y is transferred back to X. If m denotes the proportion of milk in X and n denotes the proportion of water in Y, then which one of the following is correct?
Options
m = n
m > n
m < n
Cannot be determined due to insufficient data
Explanation
Trace the fluid volumes step by step. Start: X = 100M, Y = 100W.
Step 1: Move 20 ml from X to Y.
Step 2: Move 20 ml of the mixed Y back to X. The fraction being moved is 20/120 = 1/6 of the container Y.
Final State Calculation:
Calculate the final proportions: m (milk in X) = (500/6) / 100 = 5/6. n (water in Y) = (500/6) / 100 = 5/6. The proportions are perfectly identical: ⟨MATH⟩m = n⟨/MATH⟩.
Answer: (a).
Question details
Year
2022
Paper
CSAT
Question
Q69
Section
Numerical Ability
Sub-topic
Mixtures & Alligations
Type
Factual single
Difficulty
Medium
Source hint
Containers X and Y, milk and water transfers
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