Is m odd?

This topic has expert replies
Source: — Data Sufficiency |

Master | Next Rank: 500 Posts
Posts: 199
Joined: Mon Apr 06, 2009 4:15 am
Location: India
Thanked: 13 times

by gauravgundal » Sun May 17, 2009 2:48 am
IMO -b

Stmt 1
m + n = odd
either m or n can be odd
not suff

Stmt 2

n+m=n^2+5

m=n^2+5-n

if n is odd n^2 is odd
and
odd-odd= even
but n^2 is odd
odd+even = odd

if n is even ,n^2 is even
odd -even=5-n=odd you can even take '-' values of n

and
n^2=even
even-odd or even +odd = odd


so
B is suff

Legendary Member
Posts: 1169
Joined: Sun Jul 06, 2008 2:34 am
Thanked: 25 times
Followed by:1 members

by aj5105 » Sun May 17, 2009 7:58 am
n,m are integers.

Statement (1) : n + m = odd

m can be odd or m can be even.


Statement (2) : n + m = n^2 + 5

n^2 - n = 5 - m

n(n - 1) = 5 - m

n(n -1) has to be even.So, m has to be even.

(B)

Legendary Member
Posts: 940
Joined: Tue Aug 26, 2008 3:22 am
Thanked: 55 times
Followed by:1 members

by iamcste » Sun May 17, 2009 8:21 am
aj5105 wrote:n,m are integers.

Statement (1) :
Statement (2) : n + m = n^2 + 5

n^2 - n = 5 - m

n(n - 1) = 5 - m

n(n -1) has to be even.So, m has to be even.
(B)
do you mean to say, m has to be Odd

for a difference to be eve, both should be either even or odd...since 5 is odd, M must be odd

Legendary Member
Posts: 1169
Joined: Sun Jul 06, 2008 2:34 am
Thanked: 25 times
Followed by:1 members

by aj5105 » Sun May 17, 2009 8:50 am
Yeah, I mean odd.
iamcste wrote:
aj5105 wrote:n,m are integers.

Statement (1) :
Statement (2) : n + m = n^2 + 5

n^2 - n = 5 - m

n(n - 1) = 5 - m

n(n -1) has to be even.So, m has to be even.
(B)
do you mean to say, m has to be Odd

for a difference to be eve, both should be either even or odd...since 5 is odd, M must be odd