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19 Feb 2021, 01:15
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B
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:
37% (01:06) correct
63%
(00:59)
wrong
based on 123
sessions
History
Date
Time
Result
Not Attempted Yet
22 Feb 2021, 01:30
Kudos
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Bunuel
What is the value of x?
(1) 4 < x < 6
(2) |x| = 4x − 15
(1) 4 < x < 6
(2) |x| = 4x − 15
What is the value of x?
(1) 4 < x < 6. Clearly insufficient, x can be any number from 4 to 6, not inclusive.
(2) |x| = 4x − 15. LHS is an absolute value, which is always non negative, hence RHS must also be non-negative: \(4x-15\geq{0}\) --> \(x\geq{\frac{15}{4}}\) --> \(x\) is positive, thus \(|x|=x\) --> \(x=4x-15\) --> \(x=5\). Sufficient
Answer: B.
Hope it's clear.
General Discussion
19 Feb 2021, 03:30
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Bunuel
What is the value of x?
(1) 4 < x < 6
(2) |x| = 4x − 15
(1) 4 < x < 6
(2) |x| = 4x − 15
Question: x = ?
Statement 1: 4 < x < 6
x could be 5 or 5.5 or 4.5 hence
NOT SUFFICIENT
Statement 2: |x| = 4x − 15
i.e. x = 4x − 15 OR -x = 4x − 15
i.e. x = 5 OR x = 3 but x = 3 doesn't satisfy |x| = 4x − 15
therefore x = 5
SUFFICIENT
Answer: Option B
