Is the product of integers A, B, and C even ? (1) A*B is odd (2) B*C

Question

Is the product of integers A, B, and C even ?

(1) A*B is odd
(2) B*C is even

Nefertiti9 · Answer

IMO B

Is the product of integers A, B, and C even ?

(1) A*B is odd
(2) B*C is even

For A*B to be add then A and B are odd , we don't know anything about C 
C can be even or C can be odd (Insufficient )

For B*C to be even ,either B is even or Cis even or both are even , so eventfully , ABC is going to be even
(Sufficient)

Archit3110 · Answer

Target is product of abc even or not
#1
Ab is odd
C is not known
Insufficient
#2
BC is even
A is not known and may be 0 
.. 0 is considered even integer B is sufficient

Posted from my mobile device

tray2022 · Answer

Argument 1:

Don’t have any info about C. So NS

Argument 2:

If A>0 then even but if A=0 the its also even as 0 considered as Even. -- so Sufficient

Correct answer B

Posted from my mobile device

Papai21 · Answer

Target is product of abc even or not
#1
Ab is odd
C is not known
Insufficient
#2
BC is even
A is not known and may be 0 insufficient
From 1&2
Ab is odd and c is even so abc is even
Sufficient option c

But zero is an even number. Would it make any difference if A=0?

Posted from my mobile device

Nefertiti9 · Answer

Target is product of abc even or not
#1
Ab is odd
C is not known
Insufficient
#2
BC is even
A is not known and may be 0 insufficient
From 1&2
Ab is odd and c is even so abc is even
Sufficient option c

Zero is an even number, so even if A is zero we get even number as result of the product.

GMATWhizTeam · Answer

Step 1: Analyse Question Stem

A, B and C are integers; therefore, they are either even or odd.
We have to find out if the product of these integers is even.

The product of a set of integers is even if at least one of them is even; therefore, if one out of A, B and C is even, their product will be even.

Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE

Statement 1:  A*B is odd

We have no information about the nature of C

If C = even, A * B * C = even
If C = odd, A * B * C = odd

The data in statement 1 is insufficient to answer the question with a definite YES or NO.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.

Statement 2:  B*C is even

This means that at least one of B and C is even.
Therefore, the product of A, B and C MUST be even.

The data in statement 2 is sufficient to answer the question with a definite YES.
Statement 2 alone is sufficient. Answer option C and E can be eliminated.

The correct answer option is B.

Is the product of integers A, B, and C even ? (1) AB is odd (2) BC

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards