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

Question

(1) x = -5

(2) x and y are consecutive integers

shalva · Answer

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

uglynakedguy · Answer

What if we consider 0 and 1 , gives xy= 0 ,neither even nor odd.

so i will go with E .

janani · Answer

ans B

0 is an even number

tabi · Answer

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.

dmetla · Answer

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

tabi · Answer

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.

run4run · Answer

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

EMPOWERgmatRichC · Answer

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:  B

GMAT assassins aren't born, they're made, 
Rich

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

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GMAT Data Sufficiency (DS) Questions

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

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