Question

A pole is divided in the ratio 7 : 8. If the longer part measures 176 cm, then the measure of the shorter part is _____ cm.

• A. 140
• B. 147
• C. 154
• D. 168

Answer 1

The correct option is C 154

A pole is divided in the ratio 7 : 8.

If the longer part measures 176 cm, then it will represent 8 parts of the ratio.
For finding the length of the shorter part, we will have to find an equivalent ratio of 7 : 8, whose denominator is 176.

Let the length of the shorter part be $x$ cm.
7 : 8 = $x$ : 176 cm
But, 176 cm = (8 $\times 22$) cm
So, $x$ = 7$\times 22$ = 154 cm
Therefore, the measure of the shorter part is 154 cm.