Last visit was: 24 Apr 2026, 12:02 It is currently 24 Apr 2026, 12:02
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,818
Own Kudos:
811,051
 [5]
Given Kudos: 105,873
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,818
Kudos: 811,051
 [5]
The sum of the first 50 positive even integers is 2,550. What is the 31 May 2016, 02:15
Kudos
Add Kudos
5
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

73% (01:56) correct 27% (01:57) wrong based on 217 sessions

History

Date
Time
Result
Not Attempted Yet
The sum of the first 50 positive even integers is 2,550. What is the sum of the odd integers from 101 to 200, inclusive?

(A) 5,050
(B) 7,500
(C) 10,500
(D) 15,000
(E) 19,600
ShowHide Answer
Official Answer
B
User avatar
adiagr
User avatar
Joined: 18 Jan 2010
Last visit: 05 Oct 2019
Posts: 202
Own Kudos:
1,155
 [2]
Given Kudos: 9
GMAT 1: 710 Q48 V40
Posts: 202
Kudos: 1,155
 [2]
The sum of the first 50 positive even integers is 2,550. What is the 31 May 2016, 02:25
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
The sum of the first 50 positive even integers is 2,550. What is the sum of the odd integers from 101 to 200, inclusive?

(A) 5,050
(B) 7,500
(C) 10,500
(D) 15,000
(E) 19,600
Show more


101+103+.......199

If we remove 100 from each of these it will be sum of 1st 100 odd numbers.

so 101+103+.......199 = 50 * 100 + (1+3+5+7+......)

sum of 1st 100 natural numbers = (100 * 101) / 2 = 5050
Sum of 1st 50 positive even integers = 2550

sum of 1st 100 odd numbers = 5050 - 2550 = 2500

so 101+103+.......199 = 50 * 100 + (1+3+5+7+......) = 5000 + 2500 = 7500

B is the answer.
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 24 Apr 2026
Posts: 11,229
Own Kudos:
45,008
 [4]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,229
Kudos: 45,008
 [4]
The sum of the first 50 positive even integers is 2,550. What is the 31 May 2016, 03:08
1
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
Bunuel
The sum of the first 50 positive even integers is 2,550. What is the sum of the odd integers from 101 to 200, inclusive?

(A) 5,050
(B) 7,500
(C) 10,500
(D) 15,000
(E) 19,600
Show more

Hi

Many ways to do it..

1) 101 to 200 or smallest integer = 101 and largest = 199....
since it is an AP, average = \(\frac{101+199}{2} = 150\)...
number of integers = 50.....
SUM = avg * number = 150*50 = 7500

2) If we want to use the given info-
sum of first 50 even integers = 2550....
so Sum of first 50 odd integers = 2550-50 = 2500..
WHY? because each odd number can be taken as 1 less than a even number... example 1 is 1 less than 2, 3 is 1 less than 4, 97 is one less than 98 and so on..
so \(1+3+5+7....+97+99 = 2500\)..
and ODD from 101 to 199 =\(101+103+105+....197+199 = 100+1+100+3+100+5...100+99 = 100*50+1+3+5+...99 = 5000+2500 = 7500\)
User avatar
fantaisie
User avatar
Joined: 18 May 2016
Last visit: 09 Aug 2021
Posts: 48
Own Kudos:
113
 [2]
Given Kudos: 105
Concentration: Finance, International Business
GMAT 1: 720 Q49 V39
GPA: 3.7
WE:Analyst (Finance: Investment Banking)
GMAT 1: 720 Q49 V39
Posts: 48
Kudos: 113
 [2]
The sum of the first 50 positive even integers is 2,550. What is the 31 May 2016, 13:02
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Find: sum of odd integers from 101 to 200 inclusive

Formula: We know that the sum of the first odd integers n is: \(n^2\), where n is the number of odd terms

Solution:
1) Number of odd integers from 1 to 101: 100 / 2 + 1 = 51
2) Sum of odd integers from 1 to 101: \(51^2\) = 2601
3) Number of odd integers from 1 to 200: 200 / 2 = 100
4) Sum of odd integers from 1 to 200: \(100^2\) = 10000
5) Sum of odd integers from 101 to 200: 10,000 - 2,601 = 7399

Where did I make a mistake that I don't get 7,500 exactly?
User avatar
totaltestprepNick
User avatar
Joined: 25 Aug 2014
Last visit: 24 Apr 2026
Posts: 469
Own Kudos:
4
Given Kudos: 2
GMAT 1: 750 Q49 V42
GMAT 1: 750 Q49 V42
Posts: 469
Kudos: 4
The sum of the first 50 positive even integers is 2,550. What is the 04 Mar 2026, 12:07
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The sum of the first 50 positive even integers is 2,550. What is the sum of the odd integers from 101 to 200, inclusive?

(A) 5,050
(B) 7,500
(C) 10,500
(D) 15,000
(E) 19,600
Show more

Show Spoiler
B




Nick Slavkovich, GMAT/GRE tutor with 20+ years of experience

[email protected]
User avatar
nuitnuit2672
User avatar
Joined: 05 Jan 2026
Last visit: 23 Mar 2026
Posts: 2
Given Kudos: 4
Posts: 2
Kudos: 0
The sum of the first 50 positive even integers is 2,550. What is the 04 Mar 2026, 23:37
Kudos
Add Kudos
Bookmarks
Bookmark this Post
You missed to include the first odd integer, it will be 50^2 = 2500, not 51^2.
fantaisie
Find: sum of odd integers from 101 to 200 inclusive

Formula: We know that the sum of the first odd integers n is: \(n^2\), where n is the number of odd terms

Solution:
1) Number of odd integers from 1 to 101: 100 / 2 + 1 = 51
2) Sum of odd integers from 1 to 101: \(51^2\) = 2601
3) Number of odd integers from 1 to 200: 200 / 2 = 100
4) Sum of odd integers from 1 to 200: \(100^2\) = 10000
5) Sum of odd integers from 101 to 200: 10,000 - 2,601 = 7399

Where did I make a mistake that I don't get 7,500 exactly?
Show more
Moderators:
Bunuel
Math Expert
109818 posts
Krunaal
Tuck School Moderator
853 posts