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# Is A + B + C even? 1. A - C - B is even 2. {A - C}/B is odd

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Joined: 11 May 2008
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Is A + B + C even? 1. A - C - B is even 2. {A - C}/B is odd [#permalink]  28 Aug 2008, 09:01
Is A + B + C even?

1. A - C - B is even
2. {A - C}/B is odd
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Joined: 07 Nov 2007
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Location: New York
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Re: division [#permalink]  28 Aug 2008, 09:11
arjtryarjtry wrote:
Is A + B + C even?

1. A - C - B is even
2. {A - C}/B is odd

1. A - C - B is even

A - C - B =2k
A= 2K+B+C
A + B + C = 2K+B+C +B + C = 2(K+B+C) always even. (assuming A, B,C are integers.)

Suffcient

2. {A - C}/B is odd
{A - C}/B =(2k+1)
A = B ((2k+1)+C
A + B + C = B ((2k+1)+C +B+C = 2Bk + 2(B+C) always even
suffcient

D

My solution is correct only if A, B,C are integers (I already mention that in the first post)

Is OA is E?
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Last edited by x2suresh on 28 Aug 2008, 10:54, edited 2 times in total.
Current Student
Joined: 11 May 2008
Posts: 562
Followers: 7

Kudos [?]: 55 [0], given: 0

Re: division [#permalink]  28 Aug 2008, 10:39
well, i got the ans as A...

cos for B,
(18-12)/2=3 AND (1.5-.5)/1 =1

SO 18+12+2 = EVEN
and 1.5+.5+1= odd...

can something similar be thot to disprove A.. cos ans says E

what about A=0.5, b=0.3 and C=0.2..???
but A-B-C = 0 ... IS THIS EVEN?

if yes, then the ans E is true...
Current Student
Joined: 11 May 2008
Posts: 562
Followers: 7

Kudos [?]: 55 [0], given: 0

Re: division [#permalink]  28 Aug 2008, 10:47
i think its really frustrating when u say D and E is the ans ... cos to realise that not even one of the attempted ans is right CAN b frustrating!!!!
Re: division   [#permalink] 28 Aug 2008, 10:47
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