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27 Nov 2014, 07:48
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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:
55%
(hard)
Question Stats:
54% (01:44) correct
46%
(01:28)
wrong
based on 135
sessions
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Not Attempted Yet
Tough and Tricky questions: Inequalities.
If a and b cannot be equal to zero, is 0 < a/b < 1 ?
(1) ab > 0
(2) a − b < 0
Kudos for a correct solution.
Source: Chili Hot GMAT
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:
Data Sufficiency Forum
Data Sufficiency Forum
27 Nov 2014, 08:43
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statement 1 :- ab > 0
a and b have same sign
let a=1 and b=2
is 0 < a/b < 1 ...... True
let a=2 and b=1
is 0 < a/b < 1 ...... False
statement is insufficient.
statement 2 :- a − b < 0
a<b
let a=1 and b=2
is 0 < a/b < 1 ...... True
let a=-2 and b=-1
is 0 < a/b < 1 ...... False
statement is insufficient.
1+2 combined,
let a=1 and b=2
is 0 < a/b < 1 ...... True
let a=-2 and b=-1
is 0 < a/b < 1 ...... False
statement is insufficient.
Ans - E
a and b have same sign
let a=1 and b=2
is 0 < a/b < 1 ...... True
let a=2 and b=1
is 0 < a/b < 1 ...... False
statement is insufficient.
statement 2 :- a − b < 0
a<b
let a=1 and b=2
is 0 < a/b < 1 ...... True
let a=-2 and b=-1
is 0 < a/b < 1 ...... False
statement is insufficient.
1+2 combined,
let a=1 and b=2
is 0 < a/b < 1 ...... True
let a=-2 and b=-1
is 0 < a/b < 1 ...... False
statement is insufficient.
Ans - E
intheend14
GMAT 1: 740 Q49 V41
Posts: 125
27 Nov 2014, 10:13
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From the premise, we need to show that both a and b are the same sign and if they're both negative, that a is greater than b and if they're both positive, that a is less than b.
Statement 1 says that they're both of the same sign, but nothing about their relative values. Insufficient
Statement 2 says that a is less than b, but nothing about their signs. Insufficient
Even when combined, we still don't know what their sign is. If we know they were both positive or negative, we could definitely answer the question.
Choice E
Statement 1 says that they're both of the same sign, but nothing about their relative values. Insufficient
Statement 2 says that a is less than b, but nothing about their signs. Insufficient
Even when combined, we still don't know what their sign is. If we know they were both positive or negative, we could definitely answer the question.
Choice E
