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03 Apr 2012, 01:41
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E
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Difficulty:
15%
(low)
Question Stats:
79% (01:09) correct
21%
(01:04)
wrong
based on 1256
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If x and y are nonzero integers, is x/y an integer?
(1) x is the product of 2 and some other integer.
(2) There is only one pair of positive integers whose product equals y.
(1) x is the product of 2 and some other integer.
(2) There is only one pair of positive integers whose product equals y.
03 Apr 2012, 01:50
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If x and y are nonzero integers, is x/y an integer?
(1) x is the product of 2 and some other integer --> x=2*integer --> x is an even number. Not sufficient, since no info about y.
(2) There is only one pair of positive integers whose product equals y --> y is a prime number or 1. Not sufficient, since no info about x.
(1)+(2) If \(x=2\) and \(y=2=prime\) then \(\frac{x}{y}=1=integer\) but if \(x=2\) and \(y=3=prime\) then \(\frac{x}{y}=\frac{1}{3}\neq{integer}\). Not sufficient.
Answer: E.
(1) x is the product of 2 and some other integer --> x=2*integer --> x is an even number. Not sufficient, since no info about y.
(2) There is only one pair of positive integers whose product equals y --> y is a prime number or 1. Not sufficient, since no info about x.
(1)+(2) If \(x=2\) and \(y=2=prime\) then \(\frac{x}{y}=1=integer\) but if \(x=2\) and \(y=3=prime\) then \(\frac{x}{y}=\frac{1}{3}\neq{integer}\). Not sufficient.
Answer: E.
General Discussion
03 Apr 2012, 01:46
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Quote:
Question is asking whether X is divisible by Y
1. OK so this tells us that x is even - Not sufficient
2. this tells us that y is prime or 1 - insufficient
1 + 2 if x is even and y is prime or 1 do we always get an integer? Answer is no.. sometimes we do when Y is 2 or 1 we would get an integer.. hence insufficent
Answer is E
