Concecutive numbers.

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lenagmat: Senior | Next Rank: 100 Posts; Posts: 45; Joined: Sun Oct 16, 2011 2:21 pmFollowed by: 1 member

by lenagmat » Mon Oct 17, 2011 9:34 am

If m,n,p, and q are concecutive positive even numbers, m<n<p<q, in term o m, what is the sum of four numbers?

A. 4m+3
B. 4m+6
C. 4m+8
D. 4m+12
E. 4m+16

I got - 2m+2m+2+2m+4+2m+6=8m+12.
Why the answer is D?

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Source: Beat The GMAT — Problem Solving | Mon Oct 17, 2011 9:34 am

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Mon Oct 17, 2011 9:38 am

lenagmat wrote:If m,n,p, and q are concecutive positive even numbers, m<n<p<q, in term of m, what is the sum of four numbers?

n = m + 2
p = n + 2 = m + 4
q = p + 2 = m + 6

Hence, (m + n + p + q) = m + (m + 2) + (m + 4) + (m + 6) = 4m + 12

The correct answer is D.

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moonraker: Junior | Next Rank: 30 Posts; Posts: 15; Joined: Sun Feb 28, 2010 6:21 amFollowed by: 2 members; Location: Mumbai; Thanked: 3 times; GMAT Score:710

by moonraker » Mon Oct 17, 2011 9:40 am

m is already even..........

hence the 4 numbers m, m+2, m+4 and m+6.....
Add them up and you get........... 4m+12....... answer is D

Did you do the mistake of taking 2m, 2m+2 and all.

Last edited by moonraker on Mon Oct 17, 2011 10:56 am, edited 1 time in total.

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zooki: Junior | Next Rank: 30 Posts; Posts: 29; Joined: Fri Oct 14, 2011 10:15 amFollowed by: 1 member; Thanked: 4 times

by zooki » Mon Oct 17, 2011 9:52 am

If m= positive even number
the next even number i. e. n = m+1+1=m+2
similarly, o= m+2+2=m+4
q= m+4+2=m+6
m+n++p+q
= m+(m+2)+(m+4)+(m+6)
=4m+12

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saketk: Legendary Member; Posts: 608; Joined: Sun Jun 19, 2011 11:16 amFollowed by: 8 members; Thanked: 37 times

by saketk » Tue Oct 18, 2011 9:09 am

lenagmat wrote:If m,n,p, and q are concecutive positive even numbers, m<n<p<q, in term of m, what is the sum of four numbers?

A. 4m+3
B. 4m+6
C. 4m+8
D. 4m+12
E. 4m+16

I got - 2m+2m+2+2m+4+2m+6=8m+12.
Why the answer is D?

You can put values and find the answers..

Say for example -- m=2
n=4
p=6
q=8

total = 20

you can see only option D (4m+12 = 4*2+12 = 20) satisfies this.

correct answer OPTION D

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