Is the sum of a certain pair of integers odd?

Question

(1) The product of the integers is odd.
(2) At least one of the integers is odd.

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GMATinsight · Answer

Question: Is a + b = Odd?

Statement 1 :The product of the integers is odd.

Since we are dealing with integers and their product is odd
i.e. both the integers must be Odd hence the sum must be even

Case 1: a = 3 and b = 3, a*b = Odd and a+b = 0 (even)
Case 2: a = 3 and b = -3, a*b = Odd but a+b = 0 (even)

SUFFICIENT

Statement 2 : At least one of the integers is odd.

Case 1: a = 3 and b = 3, but a+b ≠ Odd
Case 2: a = 1 and b = 2, but a+b = Odd

NOT SUFFICIENT

Answer: Option A

carcass  :   If   should be replaced with    Is

Archit3110 · Answer

carcass 
Is question stem Correct? Is it if or is ?
Certain pair of integers would be 2 or even count of integers ??
Assuming it's is 
#1
The product of the integers is odd.
Set would have all integers odd and since it's asking for a pair(2 count) so sum would be even
Sufficient
#2
At least one of the integers is odd
Pair can be e,o or o,o
Sum is odd or even
Option A is correct

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Bunuel · Answer

It's:

Is  the sum of a certain pair of integers odd?

Small typo. Edited. Thank you!

Carcass · Answer

Thank you BTW, in the book is If screenshot.836.jpg My bad for not correcting it. I apologize.

av1901 · Answer

To determine: If Sum of 2 integers = odd

(1) The product of the integers is odd.

Product of any 2 integers is odd ONLY WHEN both integers are Odd

Odd + Odd = Even

So, sum is not odd. A definite answer

SUFFICIENT

(2) At least one of the integers is odd.

If the other integer is EVEN: Even + Odd = Odd
If the other integer is ODD: Odd + Odd = Even

Not a definite answer

NOT SUFFICIENT

Answer - A

Is the sum of a certain pair of integers odd?

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