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Is X^2 + 1 an odd number?

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Joined: 16 Oct 2016
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Is X^2 + 1 an odd number? [#permalink]

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New post 07 Aug 2017, 01:32
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Difficulty:

  45% (medium)

Question Stats:

67% (00:29) correct 33% (01:21) wrong based on 9 sessions

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If X is a positive integer, is X^2 + 1 an odd number?
(1) X is the smallest integer that is divisible by all integers from 11 to 15, inclusive.
(2) 3^X is an odd number.
[Reveal] Spoiler: OA

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Re: Is X^2 + 1 an odd number? [#permalink]

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New post 07 Aug 2017, 02:03
fitzpratik wrote:
If X is a positive integer, is X^2 + 1 an odd number?

The question is basically asking if x = even ?

Quote:
(1) X is the smallest integer that is divisible by all integers from 11 to 15, inclusive.

This means x is even, as it's divisible by 12 and 14.
Sufficient.


Quote:
(2) 3^X is an odd number.

x = odd => \(3^x\) = odd
x = even => \(3^x\) = odd
This is because 3 to the power of anything is odd.
Insufficient.

A is the answer.
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Re: Is X^2 + 1 an odd number?   [#permalink] 07 Aug 2017, 02:03
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Is X^2 + 1 an odd number?

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