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Is the product of A and B equal to 1? 1. ABA = A 2. BAB = B

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Director
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Is the product of A and B equal to 1? 1. ABA = A 2. BAB = B [#permalink] New post 17 Sep 2008, 09:04
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A
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C
D
E

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Is the product of A and B equal to 1?

1. ABA = A
2. BAB = B
Director
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Re: DS tricky [#permalink] New post 17 Sep 2008, 09:12
D

(1)
a^2*b = a
ab = 1
(2)
b^2*a = b
ab = 1
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Re: DS tricky [#permalink] New post 17 Sep 2008, 09:14
rao_1857 wrote:
Is the product of A and B equal to 1?

1. ABA = A
2. BAB = B


IMO C
1) ABA=A => A(BA-1)=0=> A=0 or AB=1 INSUFFI
2)BAB=B => B(BA-1)=0 => BA=1 or B=0 INSUFFI

hence 1 and 2 AB=1

HENCE IMO C
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Re: DS tricky [#permalink] New post 17 Sep 2008, 23:04
Another C with the same explanation as of spriya.
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Re: DS tricky [#permalink] New post 18 Sep 2008, 04:04
IMO E..even when you combine the 2 stmts..A and B both can be 0..wat say?
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Re: DS tricky [#permalink] New post 18 Sep 2008, 05:20
agree with E. There are three solutions: A = B = 1 (AB = 1), A = B = -1 (AB = 1) or A = B = 0 (AB = 0)
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Re: DS tricky [#permalink] New post 19 Sep 2008, 00:03
I went with D first but after reading through the explanations I am confused. Is it E ?

Whats the OA ?
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Re: DS tricky [#permalink] New post 19 Sep 2008, 18:00
I first went for C, but after reading other people's explanation, I can agree that the answer should be E. The mistake I did here was that I considered only 1 of the variables to be a zero, but I forgot to consider that BOTH variables could be the same value! hehe...that was stupid.

Last edited by tarek99 on 22 Sep 2008, 03:12, edited 2 times in total.
Director
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Re: DS tricky [#permalink] New post 21 Sep 2008, 17:21
thanks guys .. OA is E
Re: DS tricky   [#permalink] 21 Sep 2008, 17:21
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Is the product of A and B equal to 1? 1. ABA = A 2. BAB = B

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