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If b is not negative, is b an integer? (1) b^2 < 1 (2) b^4 < 1

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Joined: 02 Sep 2009
Posts: 52342
If b is not negative, is b an integer? (1) b^2 < 1 (2) b^4 < 1  [#permalink]

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02 Dec 2017, 23:07
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Difficulty:

35% (medium)

Question Stats:

82% (00:56) correct 18% (01:05) wrong based on 20 sessions

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If b is not negative, is b an integer?

(1) b^2 < 1
(2) b^4 < 1

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Joined: 21 Aug 2013
Posts: 1432
Location: India
Re: If b is not negative, is b an integer? (1) b^2 < 1 (2) b^4 < 1  [#permalink]

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02 Dec 2017, 23:29
(1) b^2 < 1 means -1 < b < 1. Now since b is not negative, here b can take only non-negative values.
So, 0 <= b < 1, i.e., b can take either value of 0 or values between 0 and 1. So b might be an integer (0) or it might not be an integer. Not Sufficient.

(2) b^4 < 1 again means -1 < b < 1. Going by the same logic as in first statement, b might be 0 (thus integer) or might be any value between 0 and 1 (thus not an integer). So Insufficient.

Combining the two statements, still b can be 0 or a number lying between 0 and 1. Insufficient.

Re: If b is not negative, is b an integer? (1) b^2 < 1 (2) b^4 < 1 &nbs [#permalink] 02 Dec 2017, 23:29
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