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Is A an odd integer?

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chetan2u
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Is A an odd integer? [#permalink] New post   19 May 2016, 22:48
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A
B
C
D
E

Difficulty:

65% (hard)

Question Stats:

35% (00:53) correct 65% (00:51) wrong based on 77 sessions
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Is A an odd integer?

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


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E
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HungNguyen
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Re: Is A an odd integer? [#permalink] New post   20 May 2016, 03:18
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chetan2u wrote:
Is A an even integer?

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


Self Made


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
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varundixitmro2512
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Re: Is A an odd integer? [#permalink] New post   20 May 2016, 05:56
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
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Divyadisha
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Re: Is A an odd integer? [#permalink] New post   20 May 2016, 10:33
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chetan2u wrote:
Is A an even integer?

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


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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
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chetan2u
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Re: Is A an odd integer? [#permalink] New post   22 May 2016, 01:15
Expert Reply
chetan2u wrote:
Is A an even integer?

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


Self Made



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
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Re: Is A an odd integer? [#permalink] New post   06 Oct 2016, 03:07
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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
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chetan2u
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Re: Is A an odd integer? [#permalink] New post   06 Oct 2016, 03:24
Expert Reply
stonecold wrote:
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


Hi
You are absolutely correct..
The Q should have been..
Is A an odd integer..
Editing the Q
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Re: Is A an odd integer? [#permalink] New post   09 Oct 2016, 03:13
(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
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Re: Is A an odd integer? [#permalink]
09 Oct 2016, 03:13
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