GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 17 Jan 2020, 23:48 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If n is the sum of the integers from -203 to 200, inclusive, then n =

Author Message
TAGS:

### Hide Tags

Intern  B
Joined: 11 Mar 2017
Posts: 1
If n is the sum of the integers from -203 to 200, inclusive, then n =  [#permalink]

### Show Tags

2
6 00:00

Difficulty:   5% (low)

Question Stats: 86% (00:58) correct 14% (00:57) wrong based on 148 sessions

### HideShow timer Statistics

If n is the sum of the integers from -203 to 200, inclusive, then n =

A. -606
B. -456
C. -233
D. -3
E. 0

Originally posted by Calichin on 11 Mar 2017, 16:00.
Last edited by Calichin on 11 Mar 2017, 19:38, edited 1 time in total.
GMAT Club Legend  V
Joined: 12 Sep 2015
Posts: 4214
Re: If n is the sum of the integers from -203 to 200, inclusive, then n =  [#permalink]

### Show Tags

2
Top Contributor
X514 wrote:
If n is the sum of the integers from -203 to 200, inclusive, then n =

A. -606
B. -456
C. -233
D. -3
E. 0

Notice that each positive term can be matched with a negative term to create a sum of ZERO.
For example, (-200) + 200 = 0, and (-199) + 199 = 0

We have: (-203) + (-202) + (-201) + (-200) + (-199) + (-198) + ...... + 198 + 199 + 200 = (-203) + (-202) + (-201) + 0 + 0 ..... + 0
= -606

Cheers,
Brent
_________________
EMPOWERgmat Instructor V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15933
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If n is the sum of the integers from -203 to 200, inclusive, then n =  [#permalink]

### Show Tags

2
Hi X514,

GMAT questions are rarely about doing 'lots of math', so it often helps to look for patterns in the way the prompt is designed (and avoid doing lots of math if possible).

Here, we're asked for the sum of a LOT of integers - and if we tried to add them all up 'in order', then that would take a really long time (and we might end up making mistakes). Given the range of integers (-203 to 200, inclusive), we should look for a pattern...

-1 + 1 = 0
-2 + 2 = 0
-3 + 3 = 0
Etc.

Notice all of the 0s that we'd end up with... and the numbers that would be 'left over'... -203, -202 and -201. The sum isn't that difficult to total now.

GMAT assassins aren't born, they're made,
Rich
_________________
Director  D
Joined: 05 Mar 2015
Posts: 968
Re: If n is the sum of the integers from -203 to 200, inclusive, then n =  [#permalink]

### Show Tags

X514 wrote:
If n is the sum of the integers from -203 to 200, inclusive, then n =

A. -606
B. -456
C. -233
D. -3
E. 0

X514

Manager  B
Joined: 06 Dec 2016
Posts: 227
Re: If n is the sum of the integers from -203 to 200, inclusive, then n =  [#permalink]

### Show Tags

This is another way to solve the problem
200 - (-203) = 403 + 1 = 404

n/2(a+l)
404/2(200 - 203)
-606

Manager  B
Joined: 19 Jul 2017
Posts: 82
Location: India
Concentration: General Management, Strategy
GPA: 3.5
Re: If n is the sum of the integers from -203 to 200, inclusive, then n =  [#permalink]

### Show Tags

Calichin wrote:
If n is the sum of the integers from -203 to 200, inclusive, then n =

A. -606
B. -456
C. -233
D. -3
E. 0

Of the numbers from -203 to 200, the sum of numbers from -200 to 200 would be zero owing to the -ve additions.

So the sum is -203+-202+-201 = -606

Ans:A
VP  D
Status: Learning
Joined: 20 Dec 2015
Posts: 1070
Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: Q157 V157
GPA: 3.4
WE: Engineering (Manufacturing)
Re: If n is the sum of the integers from -203 to 200, inclusive, then n =  [#permalink]

### Show Tags

This is a straight problem
Numbers from 1 to 200 will cancel out number from -1 to -200
So we just have to add -201-202-203=-606
Director  V
Joined: 04 Dec 2015
Posts: 731
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
If n is the sum of the integers from -203 to 200, inclusive, then n =  [#permalink]

### Show Tags

Calichin wrote:
If n is the sum of the integers from -203 to 200, inclusive, then n =

A. -606
B. -456
C. -233
D. -3
E. 0

Integers are from $$-203$$ to $$200$$ inclusive.

Sum of integers from $$-200$$ to $$200$$ will get cancelled except $$0$$.

Only integers left are $$-203, -202, -201, 0$$.

Sum of the above left integers

$$= (-203) + (-202) +(-201) + 0 = -203 - 202-201 = - 606$$

Intern  Joined: 12 Nov 2017
Posts: 3
Re: If n is the sum of the integers from -203 to 200, inclusive, then n =  [#permalink]

### Show Tags

matthewsmith_89 wrote:
This is another way to solve the problem
200 - (-203) = 403 + 1 = 404

n/2(a+l)
404/2(200 - 203)
-606

What is the (a+l) ? Why do you divide by 2? Re: If n is the sum of the integers from -203 to 200, inclusive, then n =   [#permalink] 27 Dec 2019, 17:16
Display posts from previous: Sort by

# If n is the sum of the integers from -203 to 200, inclusive, then n =  