Multiple choice

A jar can 20 litre milk. From the jar, 4 litres milk was taken out and replaced with an equal quantity of water. If 4 litres of the newly formed mixture is taken out of the can, then what is the final quantity of milk left in the can?

  1. 14.5 lit

  2. 12.8 lit

  3. 11.6 lit

  4. 10.46 lit

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial milk = 20. After first replacement: 20 * (1 - 4/20) = 16. After second replacement: 16 * (1 - 4/20) = 16 * 0.8 = 12.8.

AI explanation

Using the replacement formula, the final quantity of milk is calculated as the initial volume multiplied by the quantity left after removal divided by the total volume, raised to the number of operations. The jar initially contains 20 liters of milk, and 4 liters are removed and replaced twice. This gives a final milk quantity of 20 multiplied by the fraction 16 divided by 20, squared. Calculating 20 multiplied by 0.8 multiplied by 0.8 results in 12.8 liters.

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