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

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Joined: 27 Jul 2003
Posts: 122
Location: Singapore
If x and y are integers and x + y = 5, which of the [#permalink]

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14 Oct 2003, 22:13
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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 21 Feb 2012, 00:18, edited 1 time in total.
Edited the question and added the OA
Math Expert
Joined: 02 Sep 2009
Posts: 39723
Re: If x and y are integers and x + y = 5, which of the [#permalink]

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21 Feb 2012, 00:21
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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;

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

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01 Mar 2016, 17:25
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Re: If x and y are integers and x + y = 5, which of the   [#permalink] 01 Mar 2016, 17:25
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