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

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If x and 3x + y are integers, what is the value of y? (1) 0 [#permalink] New post 29 Oct 2004, 00:10
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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! :lol:
Joined: 31 Dec 1969
Location: United States
Concentration: Marketing, Other
GMAT 1: 710 Q49 V38
WE: Accounting (Accounting)
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 [#permalink] New post 29 Oct 2004, 00:39
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: United States
Concentration: Marketing, Other
GMAT 1: 710 Q49 V38
WE: Accounting (Accounting)
Followers: 0

Kudos [?]: 32 [0], given: 54256

CAT Tests
 [#permalink] New post 01 Nov 2004, 11:08
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,....
++++
Combining (a) and (b),the answer is 0.Thus the answer is (c).
++++
Joined: 31 Dec 1969
Location: United States
Concentration: Marketing, Other
GMAT 1: 710 Q49 V38
WE: Accounting (Accounting)
Followers: 0

Kudos [?]: 32 [0], given: 54256

CAT Tests
 [#permalink] New post 01 Nov 2004, 16:00
Thanks a lot! The ans is C. :lol:
  [#permalink] 01 Nov 2004, 16:00
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