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Question

Two tankers contain 850 litres and 680 litres of petrol respectively. Find the maximum capacity of a measuring vessel that can be used to exactly measure the petrol from either tankers with no petrol remaining.


A
200 litres
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B
170 litres
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C
440 litres
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D
360 litres
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Solution

The correct option is B 170 litres
Maximum capacity of the measuring vessel = HCF (850, 680)

We use Euclid's division algorithm to find the HCF of 850 and 680.

850 = 680 × 1 + 170
680 = 170 × 4 + 0

  HCF (850, 680) = 170
So, the maximum capacity of the measuring vessel required is 170 litres.

Mathematics

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