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# If denotes the greatest integer less than or equal to x, is

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Senior Manager
Joined: 29 Jan 2011
Posts: 365
Followers: 0

Kudos [?]: 136 [0], given: 87

If denotes the greatest integer less than or equal to x, is [#permalink]

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02 Jul 2011, 21:27
00:00

Difficulty:

45% (medium)

Question Stats:

74% (01:41) correct 26% (00:55) wrong based on 19 sessions

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If [x] denotes the greatest integer less than or equal
to x, is [x] = 0 ?
(1) 5x + 1 = 3 + 2x
(2) 0 < x < 1
[Reveal] Spoiler: OA
SVP
Joined: 16 Nov 2010
Posts: 1673
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 33

Kudos [?]: 434 [0], given: 36

Re: If [x] denotes the greatest integer less than or equal to x [#permalink]

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02 Jul 2011, 21:56
(1)

3x = 2

=> x = 2/3 ~ 0.67

So [x] = 0

Sufficient

(2)

x = 0.5, 0.9

So [x] = 0

Sufficient

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Manhattan GMAT Instructor
Joined: 22 Mar 2011
Posts: 775
Followers: 212

Kudos [?]: 566 [1] , given: 24

Re: If [x] denotes the greatest integer less than or equal to x [#permalink]

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04 Jul 2011, 00:56
1
KUDOS
Expert's post
I've seen this exact formula used before. Basically, they are just telling you that the brackets mean to round down to the nearest integer. The solution above is correct. Both statements indicate that x is a fraction between 0 and 1, and would therefore round down to 0.
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Dmitry Farber | Manhattan GMAT Instructor | New York

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Current Student
Joined: 08 Jan 2009
Posts: 326
GMAT 1: 770 Q50 V46
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Kudos [?]: 122 [0], given: 7

Re: If [x] denotes the greatest integer less than or equal to x [#permalink]

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04 Jul 2011, 01:07
Is x less than 1?

1) s
2) s

D

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Manhattan GMAT Instructor
Joined: 22 Mar 2011
Posts: 775
Followers: 212

Kudos [?]: 566 [0], given: 24

Re: If [x] denotes the greatest integer less than or equal to x [#permalink]

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04 Jul 2011, 01:18
Expert's post
Pike, you can't rephrase as "is x<1?", or you'll hurt the negative numbers' feelings! For instance, if x = -2.5, then [x] = -3, not 0.
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Re: If [x] denotes the greatest integer less than or equal to x   [#permalink] 04 Jul 2011, 01:18
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