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# If N is a positive integer, what is the value of N? (1) N^2 < 130

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If N is a positive integer, what is the value of N? (1) N^2 < 130 [#permalink]

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07 Mar 2018, 02:31
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If N is a positive integer, what is the value of N?

(1) N^2 < 130

(2) N is the smallest integer for which 3^N > 9^5
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If N is a positive integer, what is the value of N? (1) N^2 < 130 [#permalink]

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07 Mar 2018, 02:37
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N is a positive integer. This means N > 0 and N is integer.

Statement 1: $$N^2$$ < 130 could mean N = 1,2,3,4,....11. Hence, insufficient

Statement 2: $$3^N$$ > $$9^5$$

=> $$3^N$$ > $$3^10$$

=> N being the smallest integer satisfying the above relation could only be 11.

Hence, Statement 2 is sufficient. Answer is B.
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If N is a positive integer, what is the value of N? (1) N^2 < 130   [#permalink] 07 Mar 2018, 02:37
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