Multiple choice

A container of 108 litre capacity is filled with pure milk. From this 18 litres is taken out and replaced with water. If this process is repeated two times more then find the quantity of water in container. एक 108 लीटर क्षमता का पात्र शुद्ध दूध से भरा हुआ है। इसमें से 18 लीटर निकाला जाता है तथा उसके स्थान पर पानी मिला दिया जाता है। यदि इस प्रक्रिया को दो बार और दोहराया जाय तो पात्र में पानी की मात्रा ज्ञात कीजिए।

  1. 45.5

  2. 41.4

  3. 50.25

  4. 46.45

  5. None of these इनमे से कोई नहीं

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

This is a dilution problem. Each operation: remove 18L from 108L, so fraction removed = 18/108 = 1/6. After each replacement, milk multiplies by (1 - 1/6) = 5/6. After 3 operations: milk = 108 × (5/6)³ = 108 × 125/216 = 62.5L. Water = 108 - 62.5 = 45.5L. The claimed answer A (45.5) is correct.