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kiran120680
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![If [p] is defined as the smallest integer greater than or equal to -p,](/forum/styles/gmatclub_light/imageset/icon_post_target_unread.svg "If [p] is defined as the smallest integer greater than or equal to -p,"){kind=icon}
14 Mar 2019, 05:13
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
49% (02:02) correct
51%
(01:52)
wrong
based on 111
sessions
History
Date
Time
Result
Not Attempted Yet
If [p] is defined as the smallest integer greater than or equal to -p, is [p] < 0?
(1) p ≥ 0
(2) p ≤ 1
(1) p ≥ 0
(2) p ≤ 1
14 Mar 2019, 06:10
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In questions like this, that introduce some new function or concept you might never have seen before, it's often a good idea to test out a few numbers to get a feeling for how that function works. So here I'd try out some values of p first, to see what [p] is equal to, before looking at the statements. Since [p] is the smallest integer at least as big as -p, then if, say, p = 2.5, then [p] is the smallest integer at least as big as -2.5, so it would equal -2. If p instead is -2.5, then [p] would be the smallest integer at least as big as 2.5, so [p] would equal 3.
We can now probably tell that if p is positive, [p] will be 0 or smaller. But it will be 0 if 0 < p < 1. So using both statements, we might have that p = 0.5, say, and then [p] is the smallest integer at least as big as -0.5, and so [p] is 0, and the answer to the question is 'no'. But we also might have that p = 1, and then [p] is the smallest integer at least as big as -1, which is exactly -1. So in that one case, we can get a 'yes' answer to the question also, and the answer is E.
We can now probably tell that if p is positive, [p] will be 0 or smaller. But it will be 0 if 0 < p < 1. So using both statements, we might have that p = 0.5, say, and then [p] is the smallest integer at least as big as -0.5, and so [p] is 0, and the answer to the question is 'no'. But we also might have that p = 1, and then [p] is the smallest integer at least as big as -1, which is exactly -1. So in that one case, we can get a 'yes' answer to the question also, and the answer is E.
15 Nov 2025, 09:27
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
