Question

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.

• A. 15 litres
• B. 17 litres
• C. 19 litres
• D. 13 litres

Answer 1

Answer: (B)

Given:

The capacity of tank $A=85$ litres

The capacity of tank $B=68$ 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 $85$.
$68=2\times 2\times 17$

$85=5\times 17$

$\Rightarrow$ HCF of $68$ and $85$ $=17$
Therefore, the maximum capacity of a container which can exactly measure the oil in both the tanks is $17$ litres.

Hence, Option $A$ is correct.