Exams › SSC CGL (Prelims) › General

A pipe is divided in the ratio $\frac{3}{7}:\frac{2}{5}:\frac{3}{4}$. If the total length is 8 m, find the largest piece.

1. 3.2 m
2. 3.8 m
3. 4.0 m
4. 4.4 m

Correct answer: 3.8 m

Solution

The ratio is $\frac{3}{7}:\frac{2}{5}:\frac{3}{4}$. Multiplying by LCM 140 gives $60:56:105$. Total parts = 221, and the largest part is 105. So the largest piece is $8 \times \frac{105}{221} \approx 3.8$ m.

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