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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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V
Joined: 02 Sep 2009
Posts: 42605

Kudos [?]: 135629 [0], given: 12705

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

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New post 02 Dec 2017, 23:07
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A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

78% (00:41) correct 22% (00:33) wrong based on 9 sessions

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Kudos [?]: 135629 [0], given: 12705

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S
Joined: 21 Aug 2013
Posts: 568

Kudos [?]: 184 [0], given: 289

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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New post 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.

Hence E answer

Kudos [?]: 184 [0], given: 289

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