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

It is currently 30 Aug 2014, 14:24

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The sum of the first 50 positive even integers is 2550. What

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
User avatar
Joined: 30 Jan 2006
Posts: 146
Followers: 1

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

The sum of the first 50 positive even integers is 2550. What [#permalink] New post 15 Apr 2006, 13:37
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
The sum of the first 50 positive even integers is 2550. What is the sum of the even integers from 102 - 200, inclusive?

Please explain your answers.
Manager
Manager
User avatar
Joined: 09 Feb 2006
Posts: 129
Location: New York, NY
Followers: 1

Kudos [?]: 1 [0], given: 0

 [#permalink] New post 15 Apr 2006, 14:12
You don't need to really know the first part of the question, however there may be a trick with it. I know my own way, which is fine by me.

First, find the average of the integers. 200+102 = 302/2 = 151

Second, find the number of even integers: 200-102 = 98/2 (to get the evens only) = 49 + 1 (because it is inclusive) = 50.

Then multiply the average times the number of even integers, to get: 7550.

SORRY: EDITED FOR MY POOR GRAMMAR

Last edited by jcgoodchild on 15 Apr 2006, 15:29, edited 1 time in total.
Manager
Manager
avatar
Joined: 09 Apr 2006
Posts: 173
Location: Somewhere in Wisconsin!
Followers: 1

Kudos [?]: 1 [0], given: 0

GMAT Tests User
 [#permalink] New post 17 Apr 2006, 23:31
There is a reason why the first piece of information was given. According to the question -

2 + 4 + 6 + ....+ 100 = 2,550. Now find the following -
102 + 104 + 106 + ....+ 200 = ?

You can easily see that each term in the second expression is equal to 100 plus the term in the first expression. So the second expression can be written as -

(100 +2) + (100 + 4) + ......+ (100 + 100) = 50*100 + First Expression = 5,000 + 2,550 = 7,550
_________________

Thanks,
Zooroopa

Manager
Manager
User avatar
Joined: 30 Jan 2006
Posts: 146
Followers: 1

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

 [#permalink] New post 17 Apr 2006, 23:38
Nice touch, Zooroopa! :wink: So we now have two good and easy ways to solve Q's like this one...
VP
VP
User avatar
Joined: 29 Apr 2003
Posts: 1408
Followers: 2

Kudos [?]: 15 [0], given: 0

GMAT Tests User
 [#permalink] New post 17 Apr 2006, 23:47
You do not need the sum of the first 50 even integer.. Even otherwise u can find the value

Its an arithmetic progression with a (first value) =102
d (difference) =2
l (Last value) =200

The number of terms: n = (200 -102)/2 + 1= 50

Sum of an AP = n/2*(a+l)

= 50/2*(102+200)
= 7550
  [#permalink] 17 Apr 2006, 23:47
    Similar topics Author Replies Last post
Similar
Topics:
4 Experts publish their posts in the topic The sum of the first 50 positive even integers is 2550. What enigma123 9 21 Mar 2012, 11:29
15 Experts publish their posts in the topic The sum of the first 50 positive even integers is 2550. What CasperMonday 28 03 Sep 2009, 05:35
7 The sum of the first 50 positive even integers is 2550. What zalan 19 06 Mar 2009, 13:02
The sum of the first 50 positive even integers is 2550. What alimad 6 12 Jun 2008, 03:54
The sum of the first 50 positive even integers is 2550. what enola 4 12 Dec 2006, 05:54
Display posts from previous: Sort by

The sum of the first 50 positive even integers is 2550. What

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.