Find the least number by which 77, 175 should be divided to make it a perfect cube number. - General Test

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MCQ

Find the least number by which 77, 175 should be divided to make it a perfect cube number.

Options

  • 200

  • 525

  • 15

  • 225

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Solution

225

Explanation:

77175 = 5 × 15435

= 5 × 5 × 3087

= 5 × 5 × 9 × 343

= 5 × 5 × 3 × 3 × 7 × 7 × 7

We cannot make triplets of 5 and 3, hence the given no. must be divided by 25 × 9 = 225, to make it a perfect cube.

Concept: Number System (Entrance Exam)
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