Multiple choice

A bucket contains 50 litres of lime water. From this bucket, 1 litre of lime water was taken out and replaced by colour. This process was repeated further 2 times. How much lime water is now in the bucket?

  1. 46.45 litres

  2. 45.89 litres

  3. 50.56 litres

  4. 47.06 litres

  5. 48.2 litres
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Using the formula for repeated dilution: Final amount = Initial * (1 - removed/total)^n. Here, 50 * (1 - 1/50)^3 = 50 * (49/50)^3 = 50 * 117649 / 125000 = 47.0596, which rounds to 47.06.

AI explanation

Using the formula for repeated replacement, the remaining quantity of lime water equals Initial Volume * (1 - Replaced Volume/Initial Volume)^Number of Operations. Substituting the given values gives 50 * (1 - 1/50)^3, which is 50 * (49/50)^3. Calculating this value yields approximately 47.06 litres remaining in the bucket.

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