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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: 109
If AB represents a positive two digit number, where A and B  [#permalink]

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03 Dec 2012, 11:43
2
00:00

Difficulty:

25% (medium)

Question Stats:

73% (01:13) correct 27% (01:21) wrong based on 80 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!
Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4472
Re: If AB represents a positive two digit number, where A and B  [#permalink]

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03 Dec 2012, 12:16
1
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

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)
Manager
Joined: 17 Jul 2010
Posts: 109
Re: If AB represents a positive two digit number, where A and B  [#permalink]

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03 Dec 2012, 13:36
Non-Human User
Joined: 09 Sep 2013
Posts: 13421
Re: If AB represents a positive two digit number, where A and B  [#permalink]

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25 Aug 2018, 16:52
1
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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Re: If AB represents a positive two digit number, where A and B   [#permalink] 25 Aug 2018, 16:52
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