What is the highest power of 48 in 32!?

- a)7
- b)14
- c)15
- d)31

Correct answer is option 'A'. Can you explain this answer?

Related Test: CAT Quantitative Aptitude MCQ - 2

4 Answers

Ankita Tiwari
answered
5 days ago

The answer should be 7 as 48=2^4 * 3 so 32! has 2^4 factors to approx 7 times and 32! has 3 factors upto 14 times .... so least(7,14) =7

Sounak Bandyopadhyay
answered
Oct 27, 2018

Answer should be B I. e 14 because factorisation of 48 is 2^4*3 so highest power of 2 will be 31 and 3 will be 14 so answer should be 14.

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