integers

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daretodream: Senior | Next Rank: 100 Posts; Posts: 76; Joined: Tue Oct 28, 2008 6:08 am; Thanked: 2 times

by daretodream » Fri Feb 19, 2010 3:29 am

If mn = 3(m+1) + n and m and n are integers, m could be any of the following values EXCEPT:

(A) 2
(B) 3
(C) 4
(D) 5
(E) 7

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Source: Beat The GMAT — Problem Solving | Fri Feb 19, 2010 3:29 am

harsh.champ: Legendary Member; Posts: 1132; Joined: Mon Jul 20, 2009 3:38 amFollowed by: 6 members; Location: India; Thanked: 64 times; GMAT Score:760

by harsh.champ » Fri Feb 19, 2010 3:45 am

daretodream wrote:If mn = 3(m+1) + n and m and n are integers, m could be any of the following values EXCEPT:

(A) 2
(B) 3
(C) 4
(D) 5
(E) 7

My doubt is :-Are you multiplying m X n or is mn a 2 digit number(That would make it 10m + n)??

It takes time and effort to explain, so if my comment helped you please press Thanks button

Just because something is hard doesn't mean you shouldn't try,it means you should just try harder.

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thephoenix: Legendary Member; Posts: 1560; Joined: Tue Nov 17, 2009 2:38 amFollowed by: 5 members; Thanked: 137 times

by thephoenix » Fri Feb 19, 2010 4:00 am

daretodream wrote:If mn = 3(m+1) + n and m and n are integers, m could be any of the following values EXCEPT:

(A) 2
(B) 3
(C) 4
(D) 5
(E) 7

solving the eqn will be
m(n-3)=3+n

now plug in value for m and check the value of it should be an integer
for all value of m given above except m=5 n is int
so ans is D

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