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Question

Threetankers contain 403 litres, 434 litres and 465 litres of dieselrespectively. Find the maximum capacity of a container that canmeasure the diesel of the three containers exact number of times.

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Solution

Maximumcapacity of the required tanker = HCF of 403, 434, 465

403 = 13 ×31

434 = 2 ×7 × 31

465 = 3 ×5 × 31

HCF = 31

∴Acontainer of capacity 31 l can measure the diesel of 3containers exact number of times


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