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If X is an integer, is Y an integer?

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Senior Manager
Joined: 02 Jan 2017
Posts: 312
Location: Canada
If X is an integer, is Y an integer?  [#permalink]

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16 Mar 2017, 01:35
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Difficulty:

25% (medium)

Question Stats:

84% (01:12) correct 16% (02:29) wrong based on 27 sessions

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If X is an integer, is Y an integer?

1. The average of X and Y is not an integer.

2. The average of X, Y, and X + 6, is Y.

Source: http://www.f1gmat.com
Senior Manager
Joined: 19 Apr 2016
Posts: 274
Location: India
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE: Web Development (Computer Software)
Re: If X is an integer, is Y an integer?  [#permalink]

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16 Mar 2017, 01:41
vikasp99 wrote:
If X is an integer, is Y an integer?

1. The average of X and Y is not an integer.

2. The average of X, Y, and X + 6, is Y.

Source: http://www.f1gmat.com

St I
The average of X and Y is not an integer
case 1: y = 7 and x =8
avg(x,y) = 15/2 =7.5

case 2 : y =7.5 and x =8
avg(x,y) = 15.5/2 =7.75 ---------- Insufficient

St II
The average of X, Y, and X + 6, is Y.
2x+6+y = 3y
2y = 2x+6
y = x+3 which will be an integer since x is an integer ----------Sufficient

Hence option B is correct
Hit Kudos if you liked it
Re: If X is an integer, is Y an integer? &nbs [#permalink] 16 Mar 2017, 01:41
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If X is an integer, is Y an integer?

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