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

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Senior Manager
Senior Manager
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Joined: 29 Jan 2011
Posts: 378
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Kudos [?]: 80 [0], given: 87

If denotes the greatest integer less than or equal to x, is [#permalink] New post 02 Jul 2011, 20:27
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

76% (01:39) correct 24% (01:08) wrong based on 17 sessions
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
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Joined: 16 Nov 2010
Posts: 1679
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 31

Kudos [?]: 363 [0], given: 36

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Re: If [x] denotes the greatest integer less than or equal to x [#permalink] New post 02 Jul 2011, 20:56
(1)

3x = 2

=> x = 2/3 ~ 0.67

So [x] = 0

Sufficient

(2)

x = 0.5, 0.9

So [x] = 0

Sufficient

Answer - D
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Expert Post
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Manhattan GMAT Instructor
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Joined: 22 Mar 2011
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Kudos [?]: 389 [1] , given: 18

Re: If [x] denotes the greatest integer less than or equal to x [#permalink] New post 03 Jul 2011, 23:56
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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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Joined: 08 Jan 2009
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GMAT 1: 770 Q50 V46
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Re: If [x] denotes the greatest integer less than or equal to x [#permalink] New post 04 Jul 2011, 00:07
Is x less than 1?

1) s
2) s

D

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Kudos [?]: 389 [0], given: 18

Re: If [x] denotes the greatest integer less than or equal to x [#permalink] New post 04 Jul 2011, 00:18
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, 00:18
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If denotes the greatest integer less than or equal to x, is

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