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# If x and 3x + y are integers, what is the value of y? (1) 0

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Joined: 09 Sep 2004
Posts: 166
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Kudos [?]: 1 [0], given: 0

If x and 3x + y are integers, what is the value of y? (1) 0 [#permalink]  28 Oct 2004, 23:10
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If x and 3x + y are integers, what is the value of y?
(1) 0 <=y < 3.
(2) 3x + y is divisible by 3

PLS SIMPLIFY UR EXPLANATION. Ta very much!
Joined: 31 Dec 1969
Location: India
Concentration: General Management, Strategy
GMAT 1: 710 Q49 V0
GMAT 2: 740 Q40 V50
GMAT 3: 700 Q48 V38
GPA: 3.6
Followers: 0

Kudos [?]: 88 [0], given: 86872

C.
1. Insuff. Y can be 0,1, or 2 or some fraction inbetween say 1/2.
2. Insuff. let y = -3 then x = 2 which is an integer and if y = 3, then x = 1 again an integer. So y can be 0,-3, 3, -6, whatever.

combining both y can only be 0. hence C.
Joined: 31 Dec 1969
Location: India
Concentration: General Management, Strategy
GMAT 1: 710 Q49 V0
GMAT 2: 740 Q40 V50
GMAT 3: 700 Q48 V38
GPA: 3.6
Followers: 0

Kudos [?]: 88 [0], given: 86872

Yes I too think it is (C).My explaination is as the following:
(a)Y can 0,1 and 2.Thus this would not qualify.
(b)(3x+y)/3==>y=3k==>k=-2,-1,0,1,2.....
Thus y can be -6,-3,0,3,6,....
++++
++++
Joined: 31 Dec 1969
Location: India
Concentration: General Management, Strategy
GMAT 1: 710 Q49 V0
GMAT 2: 740 Q40 V50
GMAT 3: 700 Q48 V38
GPA: 3.6
Followers: 0

Kudos [?]: 88 [0], given: 86872

Thanks a lot! The ans is C.
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