Exams › SSC CGL (Prelims) › Maths

A cuboid of dimensions 50 cm, 150 cm, and 175 cm can be divided into how many identical largest cubes?

1. 75
2. 84
3. 85
4. 90

Correct answer: 84

Solution

The largest possible cube has side equal to the HCF of 50, 150, and 175, which is 25 cm. The number of such cubes is \((50/25)\times(150/25)\times(175/25)=2\times6\times7=84\).

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