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Director
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If x and y are positive integers and x is a multiple of y, [#permalink]
 13 Dec 2003, 21:54
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0% (00:00) correct
 0% (00:00) wrong based on 1 sessions
If x and y are positive integers and x is a multiple of y, is y = 2?
(1) y ≠ 1
(2) x + 2 is a multiple of y.
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SVP
Joined: 30 Oct 2003
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Location: NewJersey USA
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I think the answer should be E.
A ) not sufficient
B ) x + 2 = m * y
from problem stem x = n * y
so n * y + 2 = m * y hence y(m-n) = 2
Only if m-n = 1 y = 2 otherwise y can take any value. So B is not sufficient.
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Manager
Joined: 26 Dec 2003
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C? becoz from (1) we cant say anything and from (2) y can be 1 or 2 but by combining both statements we can say that y=2.
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Intern
Joined: 13 Jan 2004
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1) is not sufficient as Y could be many different int.
2) If X is a multiple of Y then X = kY
Then X+2 = kY + 2
KY is clearly divisible by Y, so for the sum kY + 2 to be divisible by Y, 2 must also be divisible by Y.
If 2 is div. by Y then Y = 1 or 2.
Still insufficient as there are two possible values for Y.
Taken together the two statements lead to only one possible value for Y, i.e. Y=1.
so (c)
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SVP
Joined: 30 Oct 2003
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You are right The answer should be C
For example X = 20 and X =22 are mutiples of 2
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