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PyjamaScientist
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03 Nov 2021, 03:29
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
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Question Stats:
65% (01:43) correct
35%
(01:52)
wrong
based on 167
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If \(x\) is an integer. Is \(x\) > \(2\)?
(1) \(−x|x|>4\)
(2) \(\frac{|x|}{x} < 2\)
(1) \(−x|x|>4\)
(2) \(\frac{|x|}{x} < 2\)
08 Nov 2021, 10:31
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PyjamaScientist
Statement 1 -x|x| >4
Thus x < -2
The question is - Is x >2, NO Unique answer
Sufficient
Statement 2
|x|/x < 2
|x|/ x can be either 1 or -1 as |x| = + or - x
|x|/ x will always be less than 2 for any value of x. x can be less or greater than 2.
The question is - Is x >2 , either yes or no No unique answer
Not sufficient
Option A
29 May 2022, 02:55
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Statement 1: Right side of statement is positive. Left side have a negative sign, \(x\) and \(|x|\). As \(|x|\) is always positive, left side will be positive only when x will be negative. Hence \(x\) will be always less than 2.
Is \(x >2\), NO. Unique answer.
So statement is sufficient.
Statement 2: \(\frac{|x|}{x} \) can only take value of 1 or -1, depending on the sign of \(x\). In both case, left side of statement will be less than 2. Hence \(x\) can take any integer value. Hence, Not sufficient.
Answer A.
Is \(x >2\), NO. Unique answer.
So statement is sufficient.
Statement 2: \(\frac{|x|}{x} \) can only take value of 1 or -1, depending on the sign of \(x\). In both case, left side of statement will be less than 2. Hence \(x\) can take any integer value. Hence, Not sufficient.
Answer A.
