Kaplan Quest on integers

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Gmatterz: Junior | Next Rank: 30 Posts; Posts: 15; Joined: Mon Sep 22, 2008 1:47 am

by Gmatterz » Wed Oct 01, 2008 12:08 am

if negative integers K and P are not both even,which of the following must be odd

A.)KP
B.)4(K+P)
C.)K-P
D.) K+1-P
E.)2(K+P) - 1

The OA is E

CAN ANYBODY THROW SOME LIGHT ON THIS THAT WHY THE ANSWER SHOULD BE E AND NOT D.

Thanks in Advance
Gmatterz

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Source: Beat The GMAT — Problem Solving | Wed Oct 01, 2008 12:08 am

Saffa: Senior | Next Rank: 100 Posts; Posts: 41; Joined: Thu Jul 12, 2007 1:16 am; Location: Cape Town South Africa; Thanked: 5 times

by Saffa » Wed Oct 01, 2008 1:58 am

E x E = E
E x O = E

Thus 2 x (K+P) = E --> 2 is even and it doesn't matter what K+R is.

Even minus 1 is always odd.

D) If K is odd and P is even then,

K + 1 = E

Even - even(P) = even

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vivek.kapoor83: Legendary Member; Posts: 833; Joined: Mon Aug 04, 2008 1:56 am; Thanked: 13 times

by vivek.kapoor83 » Wed Oct 01, 2008 2:11 am

but saffa its written here that P has to be odd, it cant be even

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Saffa: Senior | Next Rank: 100 Posts; Posts: 41; Joined: Thu Jul 12, 2007 1:16 am; Location: Cape Town South Africa; Thanked: 5 times

by Saffa » Wed Oct 01, 2008 2:52 am

vivek.kapoor83 wrote:but saffa its written here that P has to be odd, it cant be even

NO, it states that not both can be even, so both can be odd, or P even and K odd, or P odd and K even.

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Gmatterz: Junior | Next Rank: 30 Posts; Posts: 15; Joined: Mon Sep 22, 2008 1:47 am

by Gmatterz » Wed Oct 01, 2008 3:57 am

Saffa wrote:
vivek.kapoor83 wrote:but saffa its written here that P has to be odd, it cant be even
NO, it states that not both can be even, so both can be odd, or P even and K odd, or P odd and K even.

yaa got it now heer lies the catch "it states that not both can be even, so both can be odd, or P even and K odd, or P odd and K even"

Thanks everybody.

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stop@800: Legendary Member; Posts: 871; Joined: Wed Aug 13, 2008 7:48 am; Thanked: 48 times

by stop@800 » Thu Oct 02, 2008 8:22 pm

twice of any no is always even
and even +1 / even -1 is always odd

certainly even nos
2x 2x+2 2x+4 2x+6 2x+8

certainly odd nos
2x-5
2x-3
2x-1
2x+1
2x+3
2x+5

HTH

www.interrogationpoint.com

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