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If x and y are integers, is the product xy odd?
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Updated on: 27 Jul 2015, 13:31
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If x and y are integers, is the product xy odd? (1) x = 5 (2) x and y are consecutive integers
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Originally posted by amirdubai1982 on 11 Jan 2010, 00:30.
Last edited by Bunuel on 27 Jul 2015, 13:31, edited 1 time in total.
Renamed the topic, edited the question and added the OA.



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Re: If x and y are integers, is the product xy odd?
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11 Jan 2010, 00:36
Its (B), St2 is sufficient
if x, y are consecutive, one of them is definitely even. so x*y is even
Statemen1 tells nothing about y, x * y may be odd OR even



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Re: If x and y are integers, is the product xy odd?
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11 Jan 2010, 09:45
What if we consider 0 and 1 , gives xy= 0 ,neither even nor odd.
so i will go with E .



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Re: If x and y are integers, is the product xy odd?
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11 Jan 2010, 15:35
ans B
0 is an even number



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Re: If x and y are integers, is the product xy odd?
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15 Jan 2010, 11:18
I feel C is the answer.
Because as per statement2 x and y are consecutive . So probabilities are ,either of x or y is zero or both are non zero.So Not sufficient(As Zero is neither ve nor +ve)
But if we consider statement1 also then possibilities are (5,4) or (6,5) either of which result is even.
So both together are sufficient.



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Re: If x and y are integers, is the product xy odd?
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15 Jan 2010, 13:27
Ans is B 0 is even, it satisfies all the criteria for the definition of even number. 0 is an even number: it is a multiple of 2, it is evenly divisible by 2



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Re: If x and y are integers, is the product xy odd?
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16 Jan 2010, 04:37
Yes u are right.Zero is even . I totally got carried away .Actually 0 is neither ve nor positive. Instead I ended saying other way with respect evenodd. Sorry Hence B is correct.



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Re: If x and y are integers, is the product xy odd?
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16 Jan 2010, 18:59
B for me
I: If X = 5 , y can be either another odd like 5 or an even like 2 which makes an odd or even product II: If x and y are consecutive integers than there will always be an even number in the product i.e. 0,1 = 0 , 2,3 = 6 5,4 = 20



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Re: If x and y are integers, is the product xy odd?
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28 Sep 2018, 18:03
Hi All, We're told that X and Y are INTEGERS. We're asked if (X)(Y) is ODD. This is a YES/NO question and can be solved with Number Properties and TESTing VALUES. 1) X = 5 With the information in Fact 1, we know the value of X (and that it's ODD). However, we don't know whether Y is odd or even. IF... X = 5, Y = 1 then (X)(Y) = 5 and the answer to the question is YES X = 5, Y = 2 then (X)(Y) = 10 and the answer to the question is NO Fact 1 is INSUFFICIENT 2) X and Y are CONSECUTIVE integers By definition, a pair of consecutive integers will ALWAYS include 1 Odd number and 1 Even number, so the product will ALWAYS be (Odd)(Even) = Even and the answer to the question is ALWAYS NO. Fact 2 is SUFFICIENT Final Answer: GMAT assassins aren't born, they're made, Rich
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Re: If x and y are integers, is the product xy odd? &nbs
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28 Sep 2018, 18:03






