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

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Intern
Intern
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Joined: 16 Jul 2008
Posts: 13

Kudos [?]: 36 [0], given: 0

For any numbers a and b, a b = a + b ab. If a b = 0, which [#permalink]

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New post 04 Sep 2008, 18:54
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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) -(2/3)

Kudos [?]: 36 [0], given: 0

Director
Director
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Joined: 12 Jul 2008
Posts: 514

Kudos [?]: 162 [0], given: 0

Schools: Wharton
Re: Problem Solve [#permalink]

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New post 04 Sep 2008, 18:59
djdela 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) -(2/3)


B

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

If b = 1, then the equation says:
1 = 0

Kudos [?]: 162 [0], given: 0

SVP
SVP
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Joined: 17 Jun 2008
Posts: 1540

Kudos [?]: 278 [0], given: 0

Re: Problem Solve [#permalink]

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New post 05 Sep 2008, 01:30
B.

for such questions, I find substitution method more helpful.

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VP
VP
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Joined: 17 Jun 2008
Posts: 1378

Kudos [?]: 392 [0], given: 0

Re: Problem Solve [#permalink]

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New post 05 Sep 2008, 21:32
djdela 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) -(2/3)


When b=1 then a=a+1 not possible hence (B) is CORRECT ANSWER
_________________

cheers
Its Now Or Never

Kudos [?]: 392 [0], given: 0

Re: Problem Solve   [#permalink] 05 Sep 2008, 21:32
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For any numbers a and b, a b = a + b ab. If a b = 0, which

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