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?

CAT Question

By Ajaypal Singh · Aug 20, 2019 ·CAT
4 Answers
Chaitanya Ande answered Jun 28, 2018
2^31 but 48 is 2^4×3 so (2^4)^7×3^something>7 so answer is

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.

Kamal Bhatt answered Aug 24, 2019
It will be a only because 2ki power 31 has 7 ,,16 floating

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