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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

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 C.
Which of the statements given above is/are correct ?

(a)

1 only

(b)

2 only

(c)

Both 1 and 2

(d)

Neither 1 nor 2

Answer:

(c)

Explanation

The question involves dividing 16 litres of milk between three cans of varying capacities using only these three cans. Statement 1 suggests that it is possible to have 6 litres of milk each in can A and can B. This is feasible because can A`s maximum capacity is 6 litres, which can be filled completely. The remaining 10 litres can be put into can B, leaving 4 litres space empty, which doesn`t violate any condition. Statement 2 suggests that it is possible to have 8 litres of milk each in can B and can C. This is also feasible because the full capacity of can B is 10 litres, which means it can comfortably hold 8 litres. Meanwhile, can C, which initially held all the 16 litres, can be emptied to hold just 8 litres. Again, this doesn`t breach any provided rules. Therefore, both statements 1 and 2 are correct, and so, the correct answer is Option 3 (Both 1 and 2 are correct).