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16 Dec 2019, 02:26
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
49% (02:28) correct
51%
(02:18)
wrong
based on 176
sessions
History
Date
Time
Result
Not Attempted Yet
Is a < b?
(1) \(a^b < b^a\)
(2) \(\frac{a}{b} > 1\)
Are You Up For the Challenge: 700 Level Questions
(1) \(a^b < b^a\)
(2) \(\frac{a}{b} > 1\)
Are You Up For the Challenge: 700 Level Questions
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
https://gmatclub.com/forum/data-sufficiency-ds-141/
https://gmatclub.com/forum/data-sufficiency-ds-141/
16 Dec 2019, 14:03
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Statement 1:
We know nothing on a or b yet, we cannot simplify this to a < b so cannot prove a < b. Some examples we can use here:
\(2^3 < 3^2\) => \(a < b\) . Yes.
\(5^2 < 2^5\) => \(a > b\). No.
Statement 2:
This tells us a and b have the same sign. However, we cannot simplify this expression. Insufficient.
Combined:
Positive a and b give a > b from (2). Negative a and b give a < b from (2). We just need to find a case for each scenario that satisfies (1) to say insufficient.
For the positive case, we can recycle \(5^2 < 2^5\). For the negative case, we can let \(b\) be a negative odd number and \(a\) be a negative even number.
\((-4)^{-3} < (-3)^{-4}\) for example will satisfy (1) and also give us a < b. Therefore combined it is still insufficient.
Ans: E
We know nothing on a or b yet, we cannot simplify this to a < b so cannot prove a < b. Some examples we can use here:
\(2^3 < 3^2\) => \(a < b\) . Yes.
\(5^2 < 2^5\) => \(a > b\). No.
Statement 2:
This tells us a and b have the same sign. However, we cannot simplify this expression. Insufficient.
Combined:
Positive a and b give a > b from (2). Negative a and b give a < b from (2). We just need to find a case for each scenario that satisfies (1) to say insufficient.
For the positive case, we can recycle \(5^2 < 2^5\). For the negative case, we can let \(b\) be a negative odd number and \(a\) be a negative even number.
\((-4)^{-3} < (-3)^{-4}\) for example will satisfy (1) and also give us a < b. Therefore combined it is still insufficient.
Ans: E
Bunuel
Sejal16
Joined: 20 Dec 2019
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Location: India
Schools: ISB'22 (I)
GMAT 1: 730 Q50 V38
27 Dec 2019, 07:08
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Option B tells us that a>b as a/b >1, hence answer should be b.
Please explain.
Please explain.
