RRB Group-D Model Paper 16 with answers for online practice

Question : 44 of 100

Marks: +1, -0

Find the smallest number by which 675 must be multiplied to obtain a perfect cube?

Solution:

Calculating LCM of the number

So,

(675)^{1/3}

(3 × 3 × 3 × 5 × 5)^{1/3}

(675)^{1/3}

= 3 ×

(5 × 5)^{1/3}

∴ The smallest number by which 675 must be multiplied to obtain a perfect cube is 5

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