Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 01 Sep 2016
Posts: 207

Is ABC an odd integer? [#permalink]
Show Tags
17 Sep 2017, 11:48
3
This post was BOOKMARKED
Question Stats:
29% (00:41) correct 71% (00:40) wrong based on 76 sessions
HideShow timer Statistics
Is ABC an odd integer? 1. AB is an even integer 2. BC is an even integer
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
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!
Last edited by bkpolymers1617 on 19 Sep 2017, 10:00, edited 1 time in total.



Manager
Joined: 01 Sep 2016
Posts: 207

Re: Is ABC an odd integer? [#permalink]
Show Tags
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]
Show Tags
17 Sep 2017, 13:59
IMO, Answer should be D.
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: 207

Re: Is ABC an odd integer? [#permalink]
Show Tags
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: 207

Re: Is ABC an odd integer? [#permalink]
Show Tags
19 Sep 2017, 09:12
1
This post received KUDOS
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: 581

Re: Is ABC an odd integer? [#permalink]
Show Tags
19 Sep 2017, 09:56
bkpolymers1617 wrote: Is ABC an odd integer?
1. AB is an even integer 2. BC is an even integer C cant be the answer. The answer should be E 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: 207

Re: Is ABC an odd integer? [#permalink]
Show Tags
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 C cant be the answer. The answer should be E 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: 414

Is ABC an odd integer? [#permalink]
Show Tags
26 Nov 2017, 02:58
Answer should be E
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
Answer (E)




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






