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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

Kudos [?]: 54 [0], given: 43

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

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03 Dec 2012, 11:43
1
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Difficulty:

35% (medium)

Question Stats:

63% (00:39) correct 37% (00:56) wrong based on 46 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

Kudos [?]: 54 [0], given: 43

Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4359

Kudos [?]: 8102 [1], given: 99

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

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03 Dec 2012, 12:16
1
KUDOS
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

Kudos [?]: 8102 [1], given: 99

Manager
Joined: 17 Jul 2010
Posts: 124

Kudos [?]: 54 [0], given: 43

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

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03 Dec 2012, 13:36

Kudos [?]: 54 [0], given: 43

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 17560

Kudos [?]: 270 [0], given: 0

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

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23 Apr 2016, 10:32
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Kudos [?]: 270 [0], given: 0

Re: If AB represents a positive two digit number, where A and B   [#permalink] 23 Apr 2016, 10:32
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