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.

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Q: 122 (IAS/2009)
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 ?

question_subject: 

Logic/Reasoning

question_exam: 

IAS

stats: 

0,4,3,2,1,4,0

keywords: 

{'cans': [0, 0, 1, 0], 'capacities': [0, 0, 1, 1], 'litres': [0, 0, 2, 1], 'milk': [0, 0, 1, 2]}

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).

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