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# If xy represents a positive two-digit number, where x and y

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Intern
Joined: 08 Nov 2012
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If xy represents a positive two-digit number, where x and y [#permalink]

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15 Apr 2013, 15:25
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Difficulty:

35% (medium)

Question Stats:

63% (00:46) correct 37% (00:46) wrong based on 268 sessions

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If xy represents a positive two-digit number, where x and y are single digit integers, which of the following CANNOT be true?

A. x + y = 9
B. xy = 9
C. x – y = 9
D. y – x = 9
E. x/y = 9

Here is a problem from a practice test. Can someone explain how the test taker is supposed to know that "If xy represents a positive two-digit number" does NOT mean that X times Y represents a positive two-digit number? Ex. The questions means that 5 &4 means 54 not 5x4=20. This is an easy question once you get passed this but I was tricked and thought it meant multiplication which led me down the wrong road. I know even with my misunderstanding of the given that you can come up with the answer anyway, but I know there is an issue with my understand of the wording and I hope to not make careless mistakes like this again. If someone could shed some light on this issue it would be much appreciated!!!!!!! Is it represents vs. equals?
[Reveal] Spoiler: OA

Last edited by Bunuel on 15 Apr 2013, 15:29, edited 1 time in total.
RENAMED THE TOPIC.

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Re: If xy represents a positive two-digit number, where x and y [#permalink]

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15 Apr 2013, 15:42
Richard0715 wrote:
If xy represents a positive two-digit number, where x and y are single digit integers, which of the following CANNOT be true?

A. x + y = 9
B. xy = 9
C. x – y = 9
D. y – x = 9
E. x/y = 9

Here is a problem from a practice test. Can someone explain how the test taker is supposed to know that "If xy represents a positive two-digit number" does NOT mean that X times Y represents a positive two-digit number? Ex. The questions means that 5 &4 means 54 not 5x4=20. This is an easy question once you get passed this but I was tricked and thought it meant multiplication which led me down the wrong road. I know even with my misunderstanding of the given that you can come up with the answer anyway, but I know there is an issue with my understand of the wording and I hope to not make careless mistakes like this again. If someone could shed some light on this issue it would be much appreciated!!!!!!! Is it represents vs. equals?

I agree that it could have been written in a better way, though represents and digit should push to the right direction.
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Re: If xy represents a positive two-digit number, where x and y [#permalink]

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07 May 2013, 21:19
I'm not sure what I'm missing. Wouldn't both C and D be correct?
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Re: If xy represents a positive two-digit number, where x and y [#permalink]

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07 May 2013, 22:04
MzJavert wrote:
I'm not sure what I'm missing. Wouldn't both C and D be correct?

The text is not clear, however D is wrong because y – x = 9 is possible only if 9-0=9 so y=9 and x=0 and the number would be 09, which is a ONE digit number.

I think this is what the text meant
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Kudos [?]: 2405 [0], given: 219

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Re: If xy represents a positive two-digit number, where x and y [#permalink]

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08 May 2013, 07:49
Zarrolou wrote:
MzJavert wrote:
I'm not sure what I'm missing. Wouldn't both C and D be correct?

The text is not clear, however D is wrong because y – x = 9 is possible only if 9-0=9 so y=9 and x=0 and the number would be 09, which is a ONE digit number.

I think this is what the text meant

Thank you...it seems so obvious now.
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Re: If xy represents a positive two-digit number, where x and y [#permalink]

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08 May 2013, 09:11
By "D" is wrong, do you mean "D" is the correct answer? That's the only one that works for me.

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Re: If xy represents a positive two-digit number, where x and y [#permalink]

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15 May 2013, 07:21
If xy represents a positive two-digit number, where x and y are single digit integers, which of the following CANNOT be true?

A. x + y = 9
B. xy = 9
C. x – y = 9
D. y – x = 9
E. x/y = 9

Kudos [?]: [0], given: 1

Intern
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Re: If xy represents a positive two-digit number, where x and y [#permalink]

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24 May 2013, 17:42
Can't believe >40% got this one wrong!

y - x=9 implies that the number is 09. Which isn't a 2 digit number. Hence D.

Kudos [?]: 8 [0], given: 0

Re: If xy represents a positive two-digit number, where x and y   [#permalink] 24 May 2013, 17:42
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