It is currently 23 May 2019, 07:25

### 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

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

# The sum of k consecutive integers is 41. If the least intege

Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 6605
Followers: 107

Kudos [?]: 1264 [0], given: 5988

The sum of k consecutive integers is 41. If the least intege [#permalink]  14 Mar 2019, 10:47
Expert's post
00:00

Question Stats:

100% (05:14) correct 0% (00:00) wrong based on 1 sessions
The sum of k consecutive integers is 41. If the least integer is –40, then k =

A. 40

B. 41

C. 80

D. 81

E. 82
[Reveal] Spoiler: OA

_________________
Manager
Joined: 04 Feb 2019
Posts: 204
Followers: 4

Kudos [?]: 97 [0], given: 0

Re: The sum of k consecutive integers is 41. If the least intege [#permalink]  20 Mar 2019, 15:13
Expert's post
The least integer is -40, then -39, and so on, until we get to 0. Then we have positive integers, 1, 2...39, 40. Each of the 40 negative integers will be canceled out by 40 positive integers, so that the sum up to 40 is 0.

The next integer is 41, making the sum of the whole list 41.

So we have 40 negative integers, canceled out by 40 positive integers. That's 80 integers in all.

Then, 41 is our 81st integers, and we can't forget 0 as our 82nd. So there are 82 integers on this list, and k = 82.
Re: The sum of k consecutive integers is 41. If the least intege   [#permalink] 20 Mar 2019, 15:13
Display posts from previous: Sort by