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# Is ABC an odd integer?

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Manager
Joined: 01 Sep 2016
Posts: 193
GMAT 1: 690 Q49 V35
Is ABC an odd integer?  [#permalink]

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Updated on: 19 Sep 2017, 10:00
1
3
00:00

Difficulty:

85% (hard)

Question Stats:

33% (01:07) correct 67% (00:45) wrong based on 83 sessions

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Is ABC an odd integer?

1. AB is an even integer
2. BC is an even integer

_________________

we shall fight on the beaches,
we shall fight on the landing grounds,
we shall fight in the fields and in the streets,
we shall fight in the hills;
we shall never surrender!

Originally posted by bkpolymers1617 on 17 Sep 2017, 11:48.
Last edited by bkpolymers1617 on 19 Sep 2017, 10:00, edited 1 time in total.
Manager
Joined: 01 Sep 2016
Posts: 193
GMAT 1: 690 Q49 V35
Re: Is ABC an odd integer?  [#permalink]

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17 Sep 2017, 11:52
Bunuel : Can you help? I don't have the official explanation, but believe that the answer is C. Please let me know if that is correct. I can prove it, but it would be great if it comes from an expert. Thanks
_________________

we shall fight on the beaches,
we shall fight on the landing grounds,
we shall fight in the fields and in the streets,
we shall fight in the hills;
we shall never surrender!

Intern
Joined: 16 Jul 2017
Posts: 4
Re: Is ABC an odd integer?  [#permalink]

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17 Sep 2017, 13:59

1. St. 1 - AB is even - A term of the form (even no. * X ) will always be even. Hence , its even. Suff.
2. St 2- BC is even - same - Suff.

Kudos, if it helps.
Manager
Joined: 01 Sep 2016
Posts: 193
GMAT 1: 690 Q49 V35
Re: Is ABC an odd integer?  [#permalink]

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17 Sep 2017, 19:23
D can not be tge answer. You are assuming that A, B and C are integers which is not true. Can be fractions as well, in which case, we will get scenarios in which they are not integers. So choice d is 100% incorrect
_________________

we shall fight on the beaches,
we shall fight on the landing grounds,
we shall fight in the fields and in the streets,
we shall fight in the hills;
we shall never surrender!

Manager
Joined: 01 Sep 2016
Posts: 193
GMAT 1: 690 Q49 V35
Re: Is ABC an odd integer?  [#permalink]

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19 Sep 2017, 09:12
1
Hey Everyone, so here is the explanation:

1. AB is even- Insufficient. Say AB=2, and C =3/2, then ABC is what ? An odd number. Now take another scenario, take AB=4, C=6. ABC is what? An even number. Hence insufficient. Those who assumed that C is an integer must have believed that A is sufficient.

2. BC is even- Insufficient. Say BC=2, and A = 3/2, then ABC is what ? An odd number. Now take another scenario, take BC=4, A=6. ABC is what? An even number. Hence insufficient. Those who assumed that A is an integer must have believed that B is sufficient.

Now combined, we are sure that one of the 3 numbers is surely an integer. If you multiply ABC in any way, you will have only 2 situations-
1. either ABC is not an integer itself
2. Or ABC is an even integer.

But in no case, would ABC be an odd integer. Hence C is the answer
_________________

we shall fight on the beaches,
we shall fight on the landing grounds,
we shall fight in the fields and in the streets,
we shall fight in the hills;
we shall never surrender!

Director
Joined: 21 May 2013
Posts: 660
Re: Is ABC an odd integer?  [#permalink]

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19 Sep 2017, 09:56
bkpolymers1617 wrote:
Is ABC an odd integer?

1. AB is an even integer
2. BC is an even integer

Let us take 2 cases
Case 1. a=1/2,b=4, c=1/2
Case 2 a=1/2, b=8., c=1/2

Now use both the statements,

One of the cases will be even integer and other will give odd.
Manager
Joined: 01 Sep 2016
Posts: 193
GMAT 1: 690 Q49 V35
Re: Is ABC an odd integer?  [#permalink]

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19 Sep 2017, 09:59
KS15 wrote:
bkpolymers1617 wrote:
Is ABC an odd integer?

1. AB is an even integer
2. BC is an even integer

Let us take 2 cases
Case 1. a=1/2,b=4, c=1/2
Case 2 a=1/2, b=8., c=1/2

Now use both the statements,

One of the cases will be even integer and other will give odd.

Thanks for posting this. I ll correct this. I had asked the experts, but since there was no revert, I gave my thoughts. I ll change the OA. Thanks
_________________

we shall fight on the beaches,
we shall fight on the landing grounds,
we shall fight in the fields and in the streets,
we shall fight in the hills;
we shall never surrender!

Senior Manager
Joined: 02 Apr 2014
Posts: 474
GMAT 1: 700 Q50 V34
Is ABC an odd integer?  [#permalink]

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26 Nov 2017, 02:58

Statement 1: Both A and B could be integers, we don't know about C -> InSuff
For eg A = 3, B = 2 OR A = 1/3 , B = 6 => AB is even integer

Statement 2: Both B and C could be integers, we don't know about A -> InSuff
For eg B = 3, C = 2 OR C = 1/3 , B = 6 => BC is even integer

(1)+(2), A,B, C could be integers in that case, ABC is even integer
OR
A = 1/3, B = 6, C = 1/3 => ABC = 6/9 is not even an integer

Is ABC an odd integer? &nbs [#permalink] 26 Nov 2017, 02:58
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