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If x and y are integers, is the product xy odd?

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If x and y are integers, is the product xy odd? [#permalink]

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New post Updated on: 27 Jul 2015, 14:31
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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
[Reveal] Spoiler: OA

Originally posted by amirdubai1982 on 11 Jan 2010, 01:30.
Last edited by Bunuel on 27 Jul 2015, 14:31, 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? [#permalink]

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New post 11 Jan 2010, 01:36
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? [#permalink]

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New post 11 Jan 2010, 10:45
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? [#permalink]

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New post 11 Jan 2010, 16:35
ans B

0 is an even number
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Re: If x and y are integers, is the product xy odd? [#permalink]

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New post 15 Jan 2010, 12:18
I feel C is the answer.

Because as per statement-2 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 statement-1 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? [#permalink]

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New post 15 Jan 2010, 14:27
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? [#permalink]

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New post 16 Jan 2010, 05:37
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 even-odd. Sorry :(

Hence B is correct.
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Re: If x and y are integers, is the product xy odd? [#permalink]

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New post 16 Jan 2010, 19:59
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? [#permalink]

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New post 02 Jan 2018, 04:42
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Re: If x and y are integers, is the product xy odd?   [#permalink] 02 Jan 2018, 04:42
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