Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 02 Jul 2015, 13:33

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# M, N, O, and P are positive integers and M-O+N=even and

Author Message
TAGS:
VP
Joined: 25 Nov 2004
Posts: 1494
Followers: 6

Kudos [?]: 40 [0], given: 0

M, N, O, and P are positive integers and M-O+N=even and [#permalink]  20 Apr 2005, 22:15
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
M, N, O, and P are positive integers and M-O+N=even and N+P-M=odd, then which of the following must be odd?

1. M+N
2. N+P
3. P+Q
4.O+P
5.P+M

Last edited by MA on 22 Apr 2005, 19:47, edited 2 times in total.
VP
Joined: 30 Sep 2004
Posts: 1488
Location: Germany
Followers: 4

Kudos [?]: 102 [0], given: 0

4...

M-O+N=(M+N)-O=even => (M+N) can be odd or even and O can be odd or even

N+P-M=(N-M)+P=odd => (N-M) can be even or odd and P can be odd or even

O+P is always odd cause when O is odd and (M+N) is odd for (M+N)-O to be even; P must be even for (N-M)+P to be odd...O+P=odd...same reasoning the other way around.
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

Senior Manager
Joined: 19 Feb 2005
Posts: 486
Location: Milan Italy
Followers: 1

Kudos [?]: 11 [0], given: 0

my way to do this is:
M-O+N=even
N+P-M=odd
M-O+N+N+P-M=odd+even=odd
so 2N+P-O=odd
since 2N is even
P-O is odd
when P-O is odd
also P+O is odd
Senior Manager
Joined: 19 Feb 2005
Posts: 486
Location: Milan Italy
Followers: 1

Kudos [?]: 11 [0], given: 0

Logic, not mathematical knowledge, is the key to solve GMAT math; problem is, not always you have the right way to do things...
Similar topics Replies Last post
Similar
Topics:
2 In the figure above, m + n = 110. What is the value of o + p ? 5 04 Dec 2014, 06:50
6 If n and m are positive integers, and 3 is not a factor of m 4 20 Jul 2014, 03:56
1 If j, k, m, n, and p are consecutive positive integers 2 07 Jun 2014, 06:54
1 If P and Q are positive integers, and n is the decimal 11 17 Nov 2012, 08:48
12 If m and n are positive integers such that m is a factor of 10 04 Oct 2011, 19:59
Display posts from previous: Sort by