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If x = y + 2 and x is an even integer, which of the following could be

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If x = y + 2 and x is an even integer, which of the following could be  [#permalink]

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New post 10 Dec 2016, 06:13
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A
B
C
D
E

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  25% (medium)

Question Stats:

76% (01:12) correct 24% (01:32) wrong based on 123 sessions

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Re: If x = y + 2 and x is an even integer, which of the following could be  [#permalink]

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New post 10 Dec 2016, 06:34
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\(x=y+2\) ---->if \(x\)-even then \(y\) must be even too

\(x+y = y+y+2 = 2y+2 = 2(y+1) = 2(even+1) = 2*odd\)

\(\frac{x+y}{2} = odd\)

A) 140/2 = 70 even
B) 146/2 = 73 odd
C) 148/2= 74 even
D) 152/2 = 76 even
E) 156/2 = 78 even

Answer B
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Re: If x = y + 2 and x is an even integer, which of the following could be  [#permalink]

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New post 10 Dec 2016, 06:44
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Bunuel wrote:
If x = y + 2 and x is an even integer, which of the following could be the sum of x and y?

A. 140
B. 146
C. 148
D. 152
E. 156


Another way to look at it..
Both x and y are even but ONLY one will be divisible by 4 and other will be not, so their SUM will not be divisible by 4..
ONLY B is not div by 4
B
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: If x = y + 2 and x is an even integer, which of the following could be  [#permalink]

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New post 10 Dec 2016, 09:31
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If x = y + 2 and x is an even integer, which of the following could be  [#permalink]

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New post 10 Sep 2017, 01:19
chetan2u wrote:
Bunuel wrote:
If x = y + 2 and x is an even integer, which of the following could be the sum of x and y?

A. 140
B. 146
C. 148
D. 152
E. 156


Another way to look at it..
Both x and y are even but ONLY one will be divisible by 4 and other will be not, so their SUM will not be divisible by 4..
ONLY B is not div by 4
B


Hi chetan2u
I dont understand why only 1 will be divisible by 4 and other will not be. Can you please explain ?
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Re: If x = y + 2 and x is an even integer, which of the following could be  [#permalink]

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New post 10 Sep 2017, 02:41
Thiyag wrote:
chetan2u wrote:
Bunuel wrote:
If x = y + 2 and x is an even integer, which of the following could be the sum of x and y?

A. 140
B. 146
C. 148
D. 152
E. 156


Another way to look at it..
Both x and y are even but ONLY one will be divisible by 4 and other will be not, so their SUM will not be divisible by 4..
ONLY B is not div by 4
B


Hi chetan2u
I dont understand why only 1 will be divisible by 4 and other will not be. Can you please explain ?


Hi..

You pick up any two consecutive even integer, one will be multiple of 4 & other not..
Say you pick y=2, x=2+2=4..... Only x is div by 4
Pick y as 4, x=4+2=6..... Only y is MULTIPLE of 4
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: If x = y + 2 and x is an even integer, which of the following could be &nbs [#permalink] 10 Sep 2017, 02:41
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