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.

360 litres

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440 litres

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200 litres

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170 litres

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Solution

The correct option is D 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 $\times$ 1 + 170
680 = 170 $\times$ 4 + 0

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

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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.

The correct option is D 170 litresMaximum 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.