Multiple choice

A can contains 300 ml of Cola. If 60 ml of Cola is replaced with water and the same activity is repeated one more time, find the amount of Cola left in the can.

  1. 192 ml

  2. 188 ml

  3. 175 ml

  4. 170 ml

  5. 160 ml
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A Correct answer
Explanation

Remaining Cola = Initial * (1 - replaced/total)^n = 300 * (1 - 60/300)^2 = 300 * (0.8)^2 = 300 * 0.64 = 192 ml.

AI explanation

Using the successive replacement formula, the final amount of Cola is given by Initial Amount times (1 minus Replaced Amount divided by Total Amount) raised to the power of the number of operations. Substituting the given values, we get 300 ml multiplied by (1 minus 60 divided by 300) squared, which simplifies to 300 ml multiplied by (4/5) squared, or 300 ml multiplied by 16/25. This calculation results in 192 ml of Cola left in the can.

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