# The smallest integer n for which | Quantitative Aptitude - Number System

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The question below is from previous year CAT question from CAT 2018 exam comes from CAT Number System: The smallest integer n for which. Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

## CAT 2018 - Slot-2 - Number System - Question-1 - The smallest integer n for which

Q. 1: The smallest integer n for which 4^n > 17^19 holds, is closest to?
1. 33
2. 37
3. 39
4. 35

Given , 4^n > 17^19

Or  16^(n/2) > 17^19

Now from the given options, the only possible value of n is 39 as for other

values n/2 will be less than 19 and 16 < 17.

Correct answer 3. 39

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