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21 May 2018, 10:00
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
45% (01:13) correct
55%
(01:15)
wrong
based on 344
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If "x" denotes the greatest integer less than or equal to x, is "x" = 0?
(1) −1 < x < 1
(2) x < 0
(1) −1 < x < 1
(2) x < 0
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21 May 2018, 10:24
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jfdelgado
Statement 1 :-
-1<x<1
Let x be 0.5. "0.5" is greatest integer less than or equal to 0.5. . This implies "x" = 1. Ans - No
Let x be -0.5 . "-0.5" is greatest integer less than or equal to -0.5. This implies "x" = 0. Ans - Yes
No definite value of x. Not sufficient.
Statement 2 :-
x<0.
Let x be -2.5 . "-2.5" is greatest integer less than or equal to -2.5. This implies "x" = -2.
Let x be -1.5 . "-1.5" is greatest integer less than or equal to -1.5. This implies "x" = -1.
For all the cases x is not ZERO.
Hence Sufficient.
Answer B.
21 May 2018, 16:06
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Is "x"=0? First thing I did was write out the range of x we're trying to confirm.
"x"=0 ---> \(0<=x<1\)
Statement 1
−1<x<1
From our initial analysis, we can quickly see that answer can be YES (e.g. if x=0) or NO (e.g. if x=-0.5).
Not sufficient
Statement 2
x<0
Going back to our initial analysis, we need to find if x lies in this range [0,1). Statement 2 tells us that x is less than 0, so answer is NO.
Sufficient
Answer: B
"x"=0 ---> \(0<=x<1\)
Statement 1
−1<x<1
From our initial analysis, we can quickly see that answer can be YES (e.g. if x=0) or NO (e.g. if x=-0.5).
Not sufficient
Statement 2
x<0
Going back to our initial analysis, we need to find if x lies in this range [0,1). Statement 2 tells us that x is less than 0, so answer is NO.
Sufficient
Answer: B
