GMAT Prep Question

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 184
Joined: Thu Nov 25, 2010 9:57 pm
Thanked: 1 times
Followed by:5 members
GMAT Score:700

GMAT Prep Question

by chaitanya.mehrotra » Sun Jul 03, 2011 9:05 am
If c and d are integers is c even ?

1) c(d+1) is even

2) (c+2)(d+4) is even

Looking for any short cut or easy method of solving this question. At the moment i solved it putting in numbers for diff even/odd combination .

OA C

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pm
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Sun Jul 03, 2011 11:27 pm
chaitanya.mehrotra wrote:If c and d are integers is c even ?

1) c(d+1) is even
2) (c+2)(d+4) is even
Statement 1: c(d + 1) is even implies any one of the following three possible scenarios
  • 1. c is even, (d + 1) is odd --> c and d both even
    2. c is odd, (d + 1) is even --> c and d both odd
    3. c and (d + 1) both even --> c even, d odd
Not sufficient

Statement 2: (c + 2)(d + 4) is even implies any one of the following three possible scenarios
  • 1. (c + 2) is even, (d + 4) is odd --> c even, d odd
    2. (c + 2) is odd, (d + 4) is even --> c is odd, d even
    3. both (c + 2) and (d + 4) are even --> c and d both even
Not sufficient

1 & 2 Together: Only feasible scenarios are (c even, d odd) or (c and d both even). Hence, c is always even.

Sufficient

The correct answer is C.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/

Junior | Next Rank: 30 Posts
Posts: 19
Joined: Sat Jun 04, 2011 7:09 am

by magicalhat » Mon Jul 04, 2011 7:11 am
I would make a chart