There are three cans A, B and C. The capacities of A, B and C are 6 litres, 10 litres and 16 litres respectively. The can C contains 16 litres of milk. The milk has to be divided in them using these three cans only. Consider the following statements : 1. It is possible to have 6 litres of milk each in can A and can B. 2. It is possible to have 8 litres of milk each in can B and can

general knowledge math & puzzles

  1. 1

  2. 2

  3. Both 1 and 2

  4. None of Them

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Correct Option: C
Explanation:

To solve this problem, the user needs to know the capacities of each can and how to divide the milk among the cans to obtain the desired quantities.

Statement 1: It is possible to have 6 litres of milk each in can A and can B. To obtain 6 litres of milk in can A and can B, we can follow the following steps:

  • Pour 6 litres of milk from can C into can A.
  • Pour 4 litres of milk from can A into can B.
  • Pour 2 litres of milk from can C into can A.
  • Pour 4 litres of milk from can A into can B.

After following these steps, can A will have 4 litres of milk, can B will have 6 litres of milk, and can C will have 10 litres of milk. Therefore, statement 1 is true.

Statement 2: It is possible to have 8 litres of milk each in can B and can A. To obtain 8 litres of milk in can A and can B, we can follow the following steps:

  • Pour 10 litres of milk from can C into can B.
  • Pour 2 litres of milk from can B into can A.
  • Pour 4 litres of milk from can C into can B.
  • Pour 2 litres of milk from can B into can A.

After following these steps, can A will have 4 litres of milk, can B will have 8 litres of milk, and can C will have 12 litres of milk. Therefore, statement 2 is true.

Since both statements are true, the answer is:

The Answer is: C. Both 1 and 2.

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