If [x] denotes the least integer greater than or equal to x and [x] = 0, which of the following statements must be true?
A. x = 0
B. 0 <= x < 1
C. 0 < x <= 1
D. 1 <= x < 0
E. 1 < x <= 0
OA E
Source: GMAT Prep
If [x] denotes the least integer greater than or equal to x and [x] = 0, which of the following statements must be true?
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 Brent@GMATPrepNow
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First, let's take a moment to get a good idea of what this strange notation means.BTGmoderatorDC wrote: ↑Wed Jun 15, 2022 5:06 amIf [x] denotes the least integer greater than or equal to x and [x] = 0, which of the following statements must be true?
A. x = 0
B. 0 <= x < 1
C. 0 < x <= 1
D. 1 <= x < 0
E. 1 < x <= 0
OA E
Source: GMAT Prep
A few examples:
[5.1] = 6 since 6 is the smallest integer that's greater than or equal to 5.1
[3] = 3 since 3 is the smallest integer that's greater than or equal to 3
[8.9] = 9 since 9 is the smallest integer that's greater than or equal to 8.9
[1.4] = 1 since 1 is the smallest integer that's greater than or equal to 1.4
[13.6] = 13 since 13 is the smallest integer that's greater than or equal to 13.6
So, if [x] = 0, then 1 < x ≤ 0
Answer: E
Cheers,
Brent