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24 Apr 2019, 02:35
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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:
45%
(medium)
Question Stats:
67% (01:25) correct
33%
(02:04)
wrong
based on 9
sessions
History
Date
Time
Result
Not Attempted Yet
If f(x)=100–x^2 , is f(a)>f(b)?
(1) a^2>b^2
(2) a/b>1
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
(1) a^2>b^2
(2) a/b>1
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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24 Apr 2019, 07:13
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Shubham017,
How about in Statement 2 you square on both sides .
That will give you same condition as the condition in statement 1.
Then will that help
Posted from my mobile device
How about in Statement 2 you square on both sides .
That will give you same condition as the condition in statement 1.
Then will that help
Posted from my mobile device
24 Apr 2019, 09:05
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Shubham017
IMO, OA should be A and not D because:
Stat 1:
\(a^2>b^2\)
=> \(a^2-b^2>0\)
=> \(f(a)\) < \(f(b)\)
Sufficient
Stat 2:
\(\frac{a}{b}>1\)
=> \(a>b\)
From here we can't say that \(a^2\)>\(b^2\) as if \(a\) is positive and \(b\) is negative, then \(b^2\)>\(a^2\)
If \(a=3\) and \(b=2\), then \(a^2\)>\(b^2\)
BUT if \(a=2\) and \(b=-3\), then \(a^2\)<\(b^2\)
Hence not sufficient.
Bunuel chetan2u
Please correct me if I am wrong
