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gmatnmein2010: Master | Next Rank: 500 Posts; Posts: 185; Joined: Thu Feb 04, 2010 3:06 am; Thanked: 6 times

by gmatnmein2010 » Mon Feb 08, 2010 5:39 am

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

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Source: Beat The GMAT — Data Sufficiency | Mon Feb 08, 2010 5:39 am

harsh.champ: Legendary Member; Posts: 1132; Joined: Mon Jul 20, 2009 3:38 amFollowed by: 6 members; Location: India; Thanked: 64 times; GMAT Score:760

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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papgust: Community Manager; Posts: 1537; Joined: Mon Aug 10, 2009 6:10 pmFollowed by: 252 members; Thanked: 653 times

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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thephoenix: Legendary Member; Posts: 1560; Joined: Tue Nov 17, 2009 2:38 amFollowed by: 5 members; Thanked: 137 times

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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ajith: Legendary Member; Posts: 1275; Joined: Thu Sep 21, 2006 11:13 pmFollowed by: 2 members; Location: Arabian Sea; Thanked: 125 times

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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