Multiple choice

A container has $60$ litres of milk. From this container $6$ litres of milk was taken out and replaced by water.The process was further repeated twice. The volume of milk in the container after that is _________

  1. $38.52\ l$
  2. $43.74\ l$
  3. $42.68\ l$
  4. $39.85\ l$
  5. $None\ of\ these$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial milk = 60. After 3 replacements of 6L: Final milk = 60 * (1 - 6/60)^3 = 60 * (0.9)^3 = 60 * 0.729 = 43.74 L.

AI explanation

Using the formula for repeated replacement, the final amount of milk is calculated as Initial Amount times (1 minus Replacement Volume divided by Total Volume) raised to the power of the number of operations. The number of repetitions is three because the process was done once and then repeated twice. Substituting the given values gives 60 times (1 minus 6 divided by 60) cubed, which equals 60 times 0.9 cubed. Calculating 0.9 cubed gives 0.729, and multiplying by 60 results in 43.74 litres of milk remaining in the container.

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