If AB represents a positive two digit number, where A and B : GMAT Problem Solving (PS)
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# If AB represents a positive two digit number, where A and B

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Manager
Joined: 17 Jul 2010
Posts: 124
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If AB represents a positive two digit number, where A and B [#permalink]

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03 Dec 2012, 10:43
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35% (medium)

Question Stats:

59% (01:43) correct 41% (01:03) wrong based on 34 sessions

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If AB represents a positive two digit number, where A and B are single digit integers, which of the following cannot be true?

A) A+B =9
B) (A)(B)=9
C) A-B = 9
D) B-A= 9
E) A/B = 9

Please solve! Kudos if you liked the problem!
[Reveal] Spoiler: OA
Magoosh GMAT Instructor
Joined: 28 Dec 2011
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Kudos [?]: 5859 [1] , given: 66

Re: If AB represents a positive two digit number, where A and B [#permalink]

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03 Dec 2012, 11:16
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Expert's post
laythesmack23 wrote:
If AB represents a positive two digit number, where A and B are single digit integers, which of the following cannot be true?
A) A+B =9
B) (A)(B)=9
C) A-B = 9
D) B-A= 9
E) A/B = 9

I'll solve this by showing counterexamples for four of the answer ----
(A) AB = 45 or 63 or 27
(B) AB = 33 or 19
(C) 90
(D) impossible
(E) AB = 91

(D) is impossible because 09 is not a valid two digit number --- if there's a zero in the ten's place, that's just 9, a single digit number. Therefore, no valid two digit number would satisfy (D).

Let me know if anyone reading this has questions on anything I have said.

Mike
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Mike McGarry
Magoosh Test Prep

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Joined: 17 Jul 2010
Posts: 124
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Kudos [?]: 44 [0], given: 43

Re: If AB represents a positive two digit number, where A and B [#permalink]

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03 Dec 2012, 12:36
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Re: If AB represents a positive two digit number, where A and B [#permalink]

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23 Apr 2016, 09:32
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Re: If AB represents a positive two digit number, where A and B   [#permalink] 23 Apr 2016, 09:32
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