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Question

Three vessels of orange juice contain 9, 27 and 15 litres of juice respectively. Find the measure of a glass of maximum capacity that can exactly measure the juice in three of the vessels?


A

3

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B

7

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C

9

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D

4

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Solution

The correct option is A

3


In order to find the glass of maximum capacity that can exactly measure the juice in three of the vessels, we need to find the highest common factor of the volumes of the three vessels.

Using the long division method of finding H.C.F:


The Highest Common Factor or HCF of 9,15 and 27 is 3.

Therefore, maximum capacity of the glass = 3 litres


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