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Question

# Two tankers contain 200 litres and 440 litres of petrol respectively. The maximum capacity of a container which can measure the petrol of either tank in the exact number of times is ____ litres.

A
20
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B
30
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C
40
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D
50
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Solution

## The correct option is C 40We need to find the HCF of 200 and 440 to find the maximum capacity of a container which can measure the petrol from either tank. Factors of 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200 Factors of 440: 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440 Hence, HCF of 200 and 440 is 40. ∴ The maximum capacity of a container is 40 litres.

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