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05 Dec 2016, 03:04
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E
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Difficulty:
15%
(low)
Question Stats:
75% (01:10) correct
25%
(01:00)
wrong
based on 492
sessions
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Not Attempted Yet
If a, b, and c are integers, is a greater than b?
(1) The absolute value of a is less than the absolute value of c.
(2) The absolute value of b is greater than the absolute value of c.
(1) The absolute value of a is less than the absolute value of c.
(2) The absolute value of b is greater than the absolute value of c.
05 Dec 2016, 04:20
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Statement 1: |a|<|C| This can not be sufficient as statement 1 does not talk about b, while we are asked to make the comparison between a and b
Statement 2: |C|<|b| This can not be sufficient as statement 2 does not talk about a, while we are asked to make the comparison between a and b
Combining both statements :
It gives the condition : |a|<|C|<|b|
a=2, c=-4, b=-6
a=2, c=4, b=6
a=2, c=4, b=-6
The above cases satisfy the condition |a|<|C|<|b|
however, If a=2, c=-4, b=-6 ==> a>b
If a=2, c=4, b=6 ==> a<b
Combining both statements does not resolve the issue, so the correct answer is E.
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Statement 2: |C|<|b| This can not be sufficient as statement 2 does not talk about a, while we are asked to make the comparison between a and b
Combining both statements :
It gives the condition : |a|<|C|<|b|
a=2, c=-4, b=-6
a=2, c=4, b=6
a=2, c=4, b=-6
The above cases satisfy the condition |a|<|C|<|b|
however, If a=2, c=-4, b=-6 ==> a>b
If a=2, c=4, b=6 ==> a<b
Combining both statements does not resolve the issue, so the correct answer is E.
-----------
+1 Kudos if you like the post
General Discussion
05 Dec 2016, 03:53
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Bunuel
FROM 1
/A/ </C/ ...INSUFF no relation between a and b is given
FROM 2
/b/>/c/ ... insuff no relation between a and b is given
both
/a/ </c/ </b/
depends on signs of a, b, c ... insuff
if a = -1 , c = -2 , b = -5 then a>b , but if a = 2 , c = 4 , b = 5 , then b>a
E
