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

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Senior Manager
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Joined: 29 Jan 2011
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Kudos [?]: 57 [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:

71% (01:25) correct 29% (01:08) wrong based on 14 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: 1691
Location: United States (IN)
Concentration: Strategy, Technology
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Kudos [?]: 299 [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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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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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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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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