In today's Daily Challenge (Quants section) - A 256-litre tank holds pure sugarcane juice. In each cycle, one-quarter of the contents is drawn off and replaced with water. The juice should remain at ?

Asked by Parth on 2026-11-07 in CAT Prep

Here, it is mentioned that 1/4 of the contents is replaced with water in each cycle. Since contents is mentioned and not juice specifically, I would only assume the entire 256 litre tank. So it will replace water with water in a loop, hence same quantity of juice remains intact.

I feel there is a loophole in the question. Please discuss!

2 Answers

PRIYANSHIII · 2026-11-08 · 2 helpful

I also made a mistake while solving this question initially. Later, after going through the solution, I understood the concept.
The key is that 1/4 of the mixture is removed in every cycle, not just water. So, 3/4 of the juice remains after each cycle.
Starting with 256 litres:
- After 1st cycle: 192 litres
- After 2nd cycle: 144 litres
- After 3rd cycle: 108 litres
- After 4th cycle: 81 litres
One-third of 256 litres is approximately 85.33 litres.
Since 108 litres is above 85.33 litres, but 81 litres is below it, the answer is 108 litres (after the 3rd cycle).
I initially misunderstood the question too, but the solution helped me understand the replacement concept.

Ajay Kottuppallil · 2026-11-08 · 1 helpful

I also felt there was smtg weird abt that question.

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