There are three cans A, B and C. The capacities of A, B and C are 6 litres, 10 litres and 16 litres respectively.
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
1 Answers
(c) In the starting C has 16 litres of milk. Now, following transformations can be made.
| A(<6) | B(<10) | C(<16) |
| 0 | 0 | |
| 0 | 10 | 6 |
| 4 | 6 | 6 |
| 6 | 6 | 4 (I) |
| 4 | 8 | 4 |
| 0 | 8 | 8 (II) |
Here, it should be kept in mind that volume of A, B and C should never exceed 6, 10 and 16 l , i.e their capacities respectively.
Equation (I) satisfies statement 1 and equation (II) satisfies statement 2.