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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, 13:31
1
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A
B
C
D
E

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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

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?  [#permalink]

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New post 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?  [#permalink]

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New post 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?  [#permalink]

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New post 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?  [#permalink]

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New post 15 Jan 2010, 11:18
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, 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?  [#permalink]

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New post 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 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, 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?  [#permalink]

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New post 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

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Re: If x and y are integers, is the product xy odd? &nbs [#permalink] 28 Sep 2018, 18:03
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