Two tanks A and B contain 85 litres and 68 litres of oil respectively. Find the maximum capacity of a container which can exactly measure the oil in both the tanks.

15 litres

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17 litres

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19 litres

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13 litres

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Solution

The correct option is B 17 litres
In order to find the maximum capacity of a container which can measure the oil in both tanks, we need to find the HCF of 68 and 85.

$\begin{matrix} 17 & 68, 85 4, 5 \end{matrix}$

Since there are no common factors for 4 and 5 we cannot factorise it further.

Hence the highest number which divides 85 and 68 is 17.

The measuring container should be of 17 litres.

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