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If x and y are integers, what is the value of x + y?

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If x and y are integers, what is the value of x + y? [#permalink] New post 06 Dec 2012, 03:59
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79% (01:40) correct 21% (00:39) wrong based on 156 sessions
If x and y are integers, what is the value of x + y?

(1) 3<(x+y)/2<4
(2) 2<x<y<5
[Reveal] Spoiler: OA
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Re: If x and y are integers, what is the value of x + y? [#permalink] New post 06 Dec 2012, 04:01
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If x and y are integers, what is the value of x + y?

(1) 3<(x+y)/2<4 --> multiply by 2; 6<x+y<8. Now, since both x and y are integers, then x+y=integer=7. Sufficient.

(2) 2<x<y<5 --> x=3 and y=4 --> x+y=7. Sufficient.

Answer: D.

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Re: If x and y are integers, what is the value of x + y? [#permalink] New post 18 Apr 2013, 11:41
The key for me after getting the question wrong was to understand the question is not asking for X and Y, but 'X + Y'.

I had at first ousted A due to the possibility of X and Y being combinations like 1+6, 2+5, 3+4. The key was in the wording...they all add up to 7 and it is therefore the combinations don't actually matter.
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Re: If x and y are integers, what is the value of x + y? [#permalink] New post 18 Apr 2013, 11:56
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OmniPrep wrote:
The key for me after getting the question wrong was to understand the question is not asking for X and Y, but 'X + Y'.

I had at first ousted A due to the possibility of X and Y being combinations like 1+6, 2+5, 3+4. The key was in the wording...they all add up to 7 and it is therefore the combinations don't actually matter.



Hi OmniPrep, this is a good lesson that sometimes gets overlooked. Questions will often give you just enough information to solve X+Y (for example in difference of squares and such) but not for X and Y individually. Recognizing what the question is asking you is the difference between a correct D response and an incorrect E that you were sure was right when you selected it. As always, precision in wording is key. I recommend rereading the question before selecting an answer choice and clicking next, but some people feel they don't have the time to do that type of double check. Just remember that it can easily save you 1-2 traps on the exam, and that can be a big swing in the final score. What's the value of spending 2 minutes to get a question wrong when you can spend 2.2 minutes to get it right.

Hope this helps!
-Ron

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Re: If x and y are integers, what is the value of x + y?   [#permalink] 18 Apr 2013, 11:56
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