Is A an odd integer?

Question

(1) B is not an odd integer.
(2) A+B is an odd integer.

Self Made

HungNguyen · Answer

Nice problem :3 I will be the first one solve it :v using (1): we have B is not an odd integer => B is an even integer => not sufficient using (2): we have A+B is an odd integer => not sufficient combine (1) and (2): A + B = odd integer => A + even integer = odd integer by using this formula : odd + even = odd (example: 5 + 2 =7) => A is an odd integer (you will be even next time A :lol:

) => sufficient => answer is C

varundixitmro2512 · Answer

I would also vote for C

Since B is not an odd integer then it definitely an even ( 0 zero also an even) , so from A & B A can be found weather it's even or odd

Divyadisha · Answer

Question asked- Is A even Integer?

(1) B is not an odd integer.
B can be even integer or any fraction (Not sufficient) (It is not inferred that if B is not an odd integer, it must be even integer. It can be fraction too)

(2) A+B is an odd integer.
Even Integer + Odd Integer= Odd 
Odd +Even = Odd
1/2+ 1/2= Odd Integer
(Not sufficient)

Combining both statements A can be even or any fraction. IMO E is the answer

chetan2u · Answer

OE:-

The Q tests on our ability to infer ONLY the relevant info.

B is not an odd integer DOES NOT mean it is an even integer. It JUST means - B is not an odd integer- and nothing else

(1) B is not an odd integer.  
Had it been given that A and B are integers, it would have meant that B is Even..
but without that info, B can be EVEN, fraction and even irrational such as  \sqrt{2}.......\sqrt{3} 
Also NO relation between A and B
Insuff
 
 (2) A+B is an odd integer.  
A+B is an ODD integer means-
 a) A=Even and B = Odd or 
b) vice-versa.... 
c) combination of fractions  
Insuff

Combined-  
A+B is Odd .. Combined two ways still left
 a) B is EVEN... A will be ODD.. YES
b) B is fraction....A will also be fraction.... B=1/3 and A= 8/3.....NO 
Insuff
E

stonecold · Answer

Hi  chetan2u  
I saw your explanation.
I still think the answer must be C
Here's why
Clearly Statement one and two are insufficient alone.
Combining them 
B must be an even integer or a decimal
Now A+B=odd
Hence A= odd -B
=> A= odd-even (for B being Even integer) = Odd
or => A=odd- fraction = fraction.
Hence Although A can either be odd or fraction it CAN NEVER BE EVEN.
Hence C should be the Answer.

Am i missing something here?

Thanks
CC-  Vyshak   abhimahna   Abhishek009

chetan2u · Answer

Hi 
You are absolutely correct..
The Q should have been..
Is A an odd integer..
Editing the Q

syahasa2 · Answer

(1) B is not odd. That means that B could be an even integer, a fraction, a root... Not sufficient

(2) A+B is odd. That could be a=3 + b=4 = 7 odd or a=2.5 + b=4.5 = 7 odd. We don't have any info about a and b though.

Combined, the two statements do not give us any info either.

Ans. E

Is A an odd integer?

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