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01 Jul 2018, 23:40
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
63% (01:06) correct
37%
(01:07)
wrong
based on 538
sessions
History
Date
Time
Result
Not Attempted Yet
GMAT Club Tests' FRESH Question:
What is the value of x?
(1) \(x = \frac{1}{x^2}\)
(2) \(|x| = \frac{1}{x}\)
M36-69
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02 Jul 2018, 00:37
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Bunuel
GMAT Club Tests' FRESH Question:
What is the value of x?
(1) \(x = \frac{1}{x^2}\)
(2) \(|x| = \frac{1}{x}\)
as x is in the denominator \(x\neq{0}\)
(1) \(x = \frac{1}{x^2}\)..
\(x = \frac{1}{x^2}..................x^3=1..........x=1\).
we could cross multiply as x^2 > 0
sufficient
(2) \(|x| = \frac{1}{x}\)
since |x|>0....\(\frac{1}{x}>0..........x>0\)...
so \(x^2=1......x=1\)
suff
D
09 Nov 2021, 07:01
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Bunuel
GMAT Club Tests' FRESH Question:
What is the value of x?
(1) \(x = \frac{1}{x^2}\)
(2) \(|x| = \frac{1}{x}\)
M36-69
Official Solution:
What is the value of \(x\)?
(1) \(x = \frac{1}{x^2}\)
Since \(x^2\) must be positive, we can safely cross-multiply to get \(x^3=1\), which gives \(x=1\). Sufficient.
(2) \(|x| =\frac{1}{x}\)
\(\frac{1}{x}\) equals to the absolute value (\(|x|\)) so it must be positive, which means that \(x\) must be positive. When \(x > 0\), \(|x| = x\), so we'd have \(x =\frac{1}{x}\). This in turn gives \(x^2=1\) and finally we get \(x=1\) (\(x\) cannot be -1 because we deduced that \(x\) must be positive). Sufficient.
Answer: D
