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Question

Two buckets contain 25 and 40 litres of oil respectively.
Find the maximum capacity of a jug that can measure the oil of the two buckets an exact number of times.

A
5
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B
10
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C
15
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D
20
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Solution

The correct option is A 5
To find the maximum capacity of a jug that can measure the oil of the two buckets an exact number of times, we have to find the HCF of 25 and 40.
Factors of 25 = 1, 5, 25
Factors of 40 = 1, 2, 4, 5, 8, 10, 20, 40
Highest common factor of 25 and 40 = 5
Therefore, a 5 litre jug can be used to measure 25 and 40 litres of oil exact number of times.


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