9 consecutive integers that start with m + 2

BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

This topic has expert replies

Post new topic Post Reply

Previous Topic Next Topic

sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 am; Location: India; Thanked: 267 times; Followed by:80 members; GMAT Score:760

9 consecutive integers that start with m + 2

by sanju09 » Wed Feb 18, 2009 6:14 am

The average of 5 consecutive integers starting with m as the first integer is n. What is the average of 9 consecutive integers that start with m + 2?

A. m + 4
B. n + 6
C. n + 3
D. m + 5
E. n + 4

The mind is everything. What you think you become. -Lord Buddha

Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com

Quote

Source: Beat The GMAT — Problem Solving | Wed Feb 18, 2009 6:14 am

x2suresh: Master | Next Rank: 500 Posts; Posts: 258; Joined: Thu Aug 07, 2008 5:32 am; Thanked: 16 times

Re: 9 consecutive integers that start with m + 2

by x2suresh » Wed Feb 18, 2009 6:25 am

sanju09 wrote:The average of 5 consecutive integers starting with m as the first integer is n. What is the average of 9 consecutive integers that start with m + 2?

A. m + 4
B. n + 6
C. n + 3
D. m + 5
E. n + 4

m,m+1,m+2,m+3,m+4

n=m-1+15/5= m+3

m+2,.. m+10

m+1+1, m+1+2,.... m+1+9

avg = m+1+ (9*10)/2*9
= m+6
=n+3

C

Quote

billzhao: Senior | Next Rank: 100 Posts; Posts: 80; Joined: Mon Feb 02, 2009 6:36 am; Thanked: 10 times

by billzhao » Wed Feb 18, 2009 6:52 am

My answer is n+4 ,

What is OA?

Yiliang

Quote

kanha81: Master | Next Rank: 500 Posts; Posts: 431; Joined: Sat Jan 10, 2009 9:32 am; Thanked: 16 times; Followed by:1 members

n+4

by kanha81 » Wed Feb 18, 2009 11:48 am

This is how I solved; however a shorter and a quicker version is appreciated.

A(5)=n=(m+..+m+4)/5
=> n=5(m+2)/5
=> n=m+2

A(9)=(m+2..+m+10)/9
=> A(9)=9(m+6)/9
=> A(9)=m+6=m+2+4=n+4

Hence, [E]

What is OA?

Want to Beat GMAT.
Always do what you're afraid to do. Whoooop GMAT

Quote

sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 am; Location: India; Thanked: 267 times; Followed by:80 members; GMAT Score:760

Re: n+4

by sanju09 » Thu Feb 19, 2009 3:06 am

kanha81 wrote:This is how I solved; however a shorter and a quicker version is appreciated.

A(5)=n=(m+..+m+4)/5
=> n=5(m+2)/5
=> n=m+2

A(9)=(m+2..+m+10)/9
=> A(9)=9(m+6)/9
=> A(9)=m+6=m+2+4=n+4

Hence, [E]

What is OA?

Your working is to the point, you survived where suresh was trapped. OA is E

The mind is everything. What you think you become. -Lord Buddha

Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com

Quote

Mr2Bits: Senior | Next Rank: 100 Posts; Posts: 73; Joined: Wed Jan 07, 2009 1:00 pm; Location: Tampa, FL; Thanked: 9 times; GMAT Score:630