Symbiosis National Aptitude Test SNAP 2019 Paper

Question : 79 of 110

Marks: +1, -0

Rahul asked Shyam to find N such that N! >

10^N

and must be the smallest integer. Shyam calculates and finds N is between 10 to 15, but he then asks his friends Sohan who says it is between 16 to 20. Then Shyam asks his neighbour Suresh who says it is between 21 to 25. Then he asks his cousin Sonal who says it is between 26 to 31. Who is correct?

Rahul
Suresh
Shyam
None of these

Validate

Solution:

10! = 3628800 <

10^{10}

For 10 < N < 15, N! <

10^N

For 16 < N < 20, N! <

10^N

But for 20 < N < 25, N! >

10^N

Hence, Suresh is correct.

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