mod inequality

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Source: — Data Sufficiency |

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by harsh.champ » Mon Feb 08, 2010 5:52 am
gmatnmein2010 wrote:If a and b are integers, and a not= b, is |a|b > 0?
(1) |a^b| > 0
(2) |a|^b is a non-zero integer

I guess B.
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by papgust » Mon Feb 08, 2010 5:54 am
I would say B

is |a| * b > 0?

|a| is always positive but b could be -ve or +ve.

A. |a^b| > 0

b could be -ve or +ve. Insufficient.

B. |a|^b is a non-zero integer

If b is -ve, |a| ^ b will not be an integer. Statement II says that it is a non-zero integer. So, b cannot be -ve.

Then |a|*b > 0. Sufficient.

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by thephoenix » Mon Feb 08, 2010 10:02 am
papgust wrote:I would say B

is |a| * b > 0?

|a| is always positive but b could be -ve or +ve.

A. |a^b| > 0

b could be -ve or +ve. Insufficient.

B. |a|^b is a non-zero integer

If b is -ve, |a| ^ b will not be an integer. Statement II says that it is a non-zero integer. So, b cannot be -ve.

Then |a|*b > 0. Sufficient.
a) is def insuff
but in
B) if b=-1 (a -ve int)and a=1
then it satisfy the condition that a#b
and lal^b is a non zero int=1^-1=1

and if b=1 (a +ve int)and a#b and a=-1
then lal^b=1 a non zero int
hence even b is insuff

and hence it sud be E

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by ajith » Tue Feb 09, 2010 3:20 am
gmatnmein2010 wrote:If a and b are integers, and a not= b, is |a|b > 0?
(1) |a^b| > 0
(2) |a|^b is a non-zero integer
1.) insufficient it only tells that a is not zero
2) insufficient it only tells that a is not zero

E
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