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23 Sep 2006, 09:26
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Does the product of A and B equal to 1 ?
1) A*B*A = A
2) B*A*B = B
1) A*B*A = A
2) B*A*B = B
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23 Sep 2006, 09:43
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Answer: E
S1. A^2B - A = 0
or A(AB-1) = 0
A = 0 OR AB = 1
If A = 0, then AB = 0
If AB=1, then AB = 1
Not sufficient.
S2: B^2A -B =0
B(AB-1) = 0
B=0, OR AB =1
If B=0, then AB=0
If AB=1, then AB=1
Not sufficient.
S1 & S2:
A =0 OR B=0 OR AB=1
If A=0 or B=0, then AB=0
If AB=1, then AB=1
Not sufficient.
Answer: E
S1. A^2B - A = 0
or A(AB-1) = 0
A = 0 OR AB = 1
If A = 0, then AB = 0
If AB=1, then AB = 1
Not sufficient.
S2: B^2A -B =0
B(AB-1) = 0
B=0, OR AB =1
If B=0, then AB=0
If AB=1, then AB=1
Not sufficient.
S1 & S2:
A =0 OR B=0 OR AB=1
If A=0 or B=0, then AB=0
If AB=1, then AB=1
Not sufficient.
Answer: E
