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# Quantitative OG 2019 Question No 36

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Intern
Joined: 14 Mar 2017
Posts: 21
Quantitative OG 2019 Question No 36  [#permalink]

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27 Dec 2018, 02:06
00:00

Difficulty:

(N/A)

Question Stats:

67% (00:32) correct 33% (00:25) wrong based on 6 sessions

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If X and Y are integers and X-Y is odd, which of the following must be true?
1. XY is even
2. X2 + Y2 is odd
3.(X+Y)2 is even

(A) 1 only
(B) 2 only
(C) 3 only
(D) 1 and 2 only
(E) 1, 2 and 3

Question can be solved easily by taking one integer odd and the other one even. like (5,4)
and answer comes out to be D
But my question is
What if I take (1,0) as X,Y
Both the conditions are met
1,0 both are integers
1-0 = odd
Then (D) comes out to be wrong
Then (B) would be correct.
Thanks

Posted from my mobile device
Intern
Joined: 16 Nov 2016
Posts: 18
Re: Quantitative OG 2019 Question No 36  [#permalink]

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27 Dec 2018, 02:38
aashishlandmark wrote:
If X and Y are integers and X-Y is odd, which of the following must be true?
1. XY is even
2. X2 + Y2 is odd
3.(X+Y)2 is even

(A) 1 only
(B) 2 only
(C) 3 only
(D) 1 and 2 only
(E) 1, 2 and 3

Question can be solved easily by taking one integer odd and the other one even. like (5,4)
and answer comes out to be D
But my question is
What if I take (1,0) as X,Y
Both the conditions are met
1,0 both are integers
1-0 = odd
Then (D) comes out to be wrong
Then (B) would be correct.
Thanks

Posted from my mobile device

Hi ,In the case of 1 and 0

1. 1*0= 0 which is even,hence 1 is correct
2. 1*2 + 0*2=2 = even,hence incorrect.

can you post the solution please?
Intern
Joined: 17 Jul 2017
Posts: 34
Re: Quantitative OG 2019 Question No 36  [#permalink]

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27 Dec 2018, 02:53
sidjain93 wrote:
aashishlandmark wrote:
If X and Y are integers and X-Y is odd, which of the following must be true?
1. XY is even
2. X2 + Y2 is odd
3.(X+Y)2 is even

(A) 1 only
(B) 2 only
(C) 3 only
(D) 1 and 2 only
(E) 1, 2 and 3

Question can be solved easily by taking one integer odd and the other one even. like (5,4)
and answer comes out to be D
But my question is
What if I take (1,0) as X,Y
Both the conditions are met
1,0 both are integers
1-0 = odd
Then (D) comes out to be wrong
Then (B) would be correct.
Thanks

Posted from my mobile device

Hi ,In the case of 1 and 0

1. 1*0= 0 which is even,hence 1 is correct
2. 1*2 + 0*2=2 = even,hence incorrect.

can you post the solution please?

In option 2 X2+ Y2 means X^2+Y^2 not X*2+Y*2
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Manager
Status: In last prep stage
Joined: 11 Jun 2017
Posts: 156
GMAT 1: 630 Q44 V33
GMAT 2: 680 Q47 V37
GPA: 3.2
Re: Quantitative OG 2019 Question No 36  [#permalink]

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27 Dec 2018, 03:10
This question is already discussed here.
https://gmatclub.com/forum/if-x-and-y-a ... 71954.html
_________________
Thanks,
Ankit
Target Score:730+

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Re: Quantitative OG 2019 Question No 36   [#permalink] 27 Dec 2018, 03:10
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