Multiple choice

A jar was full with full with milk. A person replaced 25% of the milk with water. He repeated the process 5 times and as a result there was only 972 mililitres of milk left in the jar, the remaining part of the jar being filled with water. The initial quantity of milk in the jar was

  1. 4.096 litres

  2. 5.385 litres

  3. 5.86 litres

  4. 3.42 litres

  5. None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Each replacement keeps 75% milk. After 5 iterations, milk = initial × (0.75)^5 = initial × 243/1024. Given final milk is 972 ml, initial = 972 × 1024/243 = 4096 ml = 4.096 L.