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If x and y are integers and x + y = 5, which of the

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Kudos [?]: 5 [0], given: 0

If x and y are integers and x + y = 5, which of the [#permalink] New post 14 Oct 2003, 21:13
00:00
A
B
C
D
E

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  25% (medium)

Question Stats:

78% (01:58) correct 22% (01:09) wrong based on 54 sessions
If x and y are integers and x + y = 5, which of the following must be true?

A. x and y are consecutive integers.
B. If x < 0, then y > 0.
C. If x > 0, then y < 0.
D. Both x and y are even.
E. Both x and y are less than 5.
[Reveal] Spoiler: OA

Last edited by Bunuel on 20 Feb 2012, 23:18, edited 1 time in total.
Edited the question and added the OA
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Kudos [?]: 28837 [0], given: 2854

Re: If x and y are integers and x + y = 5, which of the [#permalink] New post 20 Feb 2012, 23:21
Expert's post
araspai wrote:
If x and y are integers and x + y = 5, which of the following must be true?

A. x and y are consecutive integers.
B. If x < 0, then y > 0.
C. If x > 0, then y < 0.
D. Both x and y are even.
E. Both x and y are less than 5.


Notice that the question asks which of the following MUST be true, not COULD be true.

Given: x + y = 5

A. x and y are consecutive integers: not necessarily true, for example x=1 and y=4;

B. If x < 0, then y > 0: if x is negative then y must be positive in order x+y to be positive, so this statement must be true;

C. If x > 0, then y < 0: not necessarily true, for example x=1 and y=4;

D. Both x and y are even: never true, as the sum of two even numbers is even and can not equal to odd number 5;

E. Both x and y are less than 5: not necessarily true, for example x=6 and y=-1;

Answer: B.

Hope it's clear.
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Re: If x and y are integers and x + y = 5, which of the   [#permalink] 20 Feb 2012, 23:21
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