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For any numbers a and b, a * b = a + b ab. If a*b=0, which

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For any numbers a and b, a * b = a + b ab. If a*b=0, which [#permalink] New post 10 Dec 2007, 00:17
For any numbers a and b, a * b = a + b – ab. If a*b=0, which of the following cannot be a value of b?

A 2
B 1
C 0
D -1
E -3/2
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 [#permalink] New post 10 Dec 2007, 00:34
Corrected:

0 = a + b - ab
ab = a + b
ab - a = b
a * (b -1) = b
a = b / (b - 1)

b =/ 1

Last edited by Whatever on 10 Dec 2007, 00:58, edited 1 time in total.
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Re: Value of b????????????/ [#permalink] New post 10 Dec 2007, 00:41
GMAT TIGER wrote:
For any numbers a and b, a * b = a + b – ab. If a*b=0, which of the following cannot be a value of b?

A 2
B 1
C 0
D -1
E -3/2


B. 1

if a*b = 0

0 = a + b - ab
ab = a+b
ab-b = a
b(a-1) = a
b = a/(a-1)

if b = 1, then a-1 = a --> -1 = 0
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Joined: 29 Aug 2007
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Kudos [?]: 364 [0], given: 19

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Re: Value of b????????????/ [#permalink] New post 10 Dec 2007, 22:07
GMAT TIGER wrote:
For any numbers a and b, a * b = a + b – ab. If a*b=0, which of the following cannot be a value of b?

A 2
B 1
C 0
D -1
E -3/2


you both are correct. its B.
Re: Value of b????????????/   [#permalink] 10 Dec 2007, 22:07
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