GMAT Changed on April 16th - Read about the latest changes here

 It is currently 27 May 2018, 21:52

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What is the sum of integers from -190 to 195, inclusive?

Author Message
TAGS:

Hide Tags

Manager
Joined: 06 Feb 2010
Posts: 162
Schools: University of Dhaka - Class of 2010
GPA: 3.63
What is the sum of the integers from -190 to 195 inclusive? [#permalink]

Show Tags

20 Oct 2010, 05:36
3
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

84% (00:40) correct 16% (00:33) wrong based on 142 sessions

HideShow timer Statistics

What is the sum of the integers from -190 to 195 inclusive?

A) 0
B) 5
C) 375
D) 875
E) 965

_________________

Practice Makes a Man Perfect. Practice. Practice. Practice......Perfectly

Critical Reasoning: http://gmatclub.com/forum/best-critical-reasoning-shortcuts-notes-tips-91280.html

Collections of MGMAT CAT: http://gmatclub.com/forum/collections-of-mgmat-cat-math-152750.html

MGMAT SC SUMMARY: http://gmatclub.com/forum/mgmat-sc-summary-of-fourth-edition-152753.html

Sentence Correction: http://gmatclub.com/forum/sentence-correction-strategies-and-notes-91218.html

Arithmatic & Algebra: http://gmatclub.com/forum/arithmatic-algebra-93678.html

I hope these will help to understand the basic concepts & strategies. Please Click ON KUDOS Button.

Manager
Joined: 15 Apr 2010
Posts: 159
Re: What is the sum of the integers from -190 to 195 inclusive? [#permalink]

Show Tags

20 Oct 2010, 06:15
From -190 to +195 we know that all numbers from 1 to 190 will have both positive and negative terms. So they will just cancel each other out.

The numbers that remain will be 191, 192,193, 194 and 195 whose sum can be easily calculated. The answer is E.
_________________

Give [highlight]KUDOS [/highlight] if you like my post.

Always do things which make you feel ALIVE!!!

Intern
Joined: 15 Aug 2010
Posts: 28
Location: Nigeria
Re: What is the sum of the integers from -190 to 195 inclusive? [#permalink]

Show Tags

20 Oct 2010, 09:49
^^ Great explanation. My own approach was to use the formula (avg of 1st and last number) * total number . But I got stuck.
_________________

Kudos if you like my post, thanks

Intern
Joined: 10 Oct 2010
Posts: 26
Re: What is the sum of the integers from -190 to 195 inclusive? [#permalink]

Show Tags

20 Oct 2010, 13:56
195 - 191/2 * 5 = 965

E
Manager
Joined: 03 Jun 2010
Posts: 154
Location: United States (MI)
Concentration: Marketing, General Management
Re: What is the sum of the integers from -190 to 195 inclusive? [#permalink]

Show Tags

21 Oct 2010, 02:44
-190+190=0
-189+189=0
...
we still have 191+192+193+194+195=965
(E)
Intern
Joined: 04 Aug 2011
Posts: 46
What is the sum of the integers from -190 to 195, inclusive? [#permalink]

Show Tags

20 Aug 2011, 06:20
What is the sum of the integers from -190 to 195, inclusive?

a) 0
b) 5
c) 375
d) 875
e) 965
Manager
Joined: 20 Aug 2011
Posts: 135
Re: What is the sum of the integers from -190 to 195, inclusive? [#permalink]

Show Tags

20 Aug 2011, 08:51
This can be viewed as a sum of consecutive terms problem

the sequence consists of integers between -191 and 196
the sequence starts at -190 and ends at +195

in an arithmetic progression,
the nth term is given by tn=a+(n-1)d
here tn=195, a=-190, d=1
hence, 195=-190+(n-1)
or n=386

Sum of n terms can be calculated by sn=n/2(a+l)
a=first term, l=last term, n=no. of terms

sn=386*(-190+195)/2
sn=193*5
sn=965
_________________

Hit kudos if my post helps you.
You may send me a PM if you have any doubts about my solution or GMAT problems in general.

Director
Joined: 01 Feb 2011
Posts: 686
Re: What is the sum of the integers from -190 to 195, inclusive? [#permalink]

Show Tags

20 Aug 2011, 11:37
the series is in ap.

AP - sum of the series = (n/2)(2a+ (n-1)d)

n = 190+1+195 (190 negative terms, 1 zero and 195 positive terms)
= 386

a = -190
d = 1

=> sum of this series = (386/2)(-380+385) = 965

Intern
Joined: 19 Aug 2011
Posts: 4
Re: What is the sum of the integers from -190 to 195, inclusive? [#permalink]

Show Tags

20 Aug 2011, 15:56
1
KUDOS
Sum of -190 to +190 will be zero. You just have to sum up 191 t0 195 which is 965.
Intern
Joined: 31 Oct 2011
Posts: 42
Location: India
Re: sum of the integers [#permalink]

Show Tags

15 Dec 2011, 22:25
-190+(-189)+(-188+).....+(-4)+(-3)+(-2)+(-1) + 0+1+2+3+4+........+188+189+190+191+192+193+194+195

Everything will cancel out except the last 5 numbers(191+192+193+194+195)

So, the ans will be 965.
_________________

Regards,
Rajesh
Helping hands are anytime better than praying hearts

Kudos ???!@# !!! I just love them

Manager
Joined: 21 Sep 2011
Posts: 106
Concentration: Entrepreneurship, General Management
GMAT 1: 530 Q42 V20
GMAT 2: 540 Q43 V28
GMAT 3: 680 Q48 V35
WE: Business Development (Hospitality and Tourism)
Re: sum of the integers [#permalink]

Show Tags

15 Dec 2011, 23:33
IMO E.

-190 to +190 everything will cancel out.

Sum of 191 to 195 = 965
_________________

KUDOS - if my post has helped you.

Senior Manager
Joined: 18 Sep 2009
Posts: 333
Re: sum of the integers [#permalink]

Show Tags

16 Dec 2011, 11:39
as the list is consecutive integers, we can use following formulas:

sum/n= average.
sum=(average)(n)
average=a+b/2=190+195/2=2.5
number of items(n)=B-A+1=195-(-190)+1=195+191=386.
sum=average*n=2.5*386=965.

Manager
Joined: 20 Aug 2011
Posts: 135
Re: sum of the integers [#permalink]

Show Tags

16 Dec 2011, 21:19
-190 to +190 will cancel out each other

Sum= 190*5 +(1+2+3+4+5)= 950+15= 965
E
_________________

Hit kudos if my post helps you.
You may send me a PM if you have any doubts about my solution or GMAT problems in general.

Intern
Joined: 07 Feb 2017
Posts: 1
What is the sum of integers from -190 to 195, inclusive? [#permalink]

Show Tags

07 Feb 2017, 22:58
1
KUDOS
1
This post was
BOOKMARKED
What is the sum of integers from -190 to 195, inclusive?
A 0
B 5
C 375
D 875
E 965
Director
Joined: 05 Mar 2015
Posts: 960
Re: What is the sum of integers from -190 to 195, inclusive? [#permalink]

Show Tags

07 Feb 2017, 23:56
yuerchang wrote:
What is the sum of integers from -190 to 195, inclusive?
A 0
B 5
C 375
D 875
E 965

integers from 1 to 190 gets cancelled from similar negative values
left only 191+192+193+194+195 = 965

Ans E
GMAT Forum Moderator
Joined: 28 May 2014
Posts: 523
GMAT 1: 730 Q49 V41
Re: What is the sum of integers from -190 to 195, inclusive? [#permalink]

Show Tags

08 Feb 2017, 00:54
The series is: -190, -189, -188,........ -2, -1, 0, 1, 2, ........ 188, 189, 190, 191, 192, 193, 194, 195;

Hence, the -ve and +ve values from -190 to +190 cancel each other leaving only 191, 192, 193, 194, 195;
So, the sum of the series:
191 + 192 + 193 + 194 + 195 = 190*5 + (1+2+3+4+5) = 950 + 15 = 965; Answer E.
_________________
Senior SC Moderator
Joined: 14 Nov 2016
Posts: 1286
Location: Malaysia
What is the sum of integers from -190 to 195, inclusive? [#permalink]

Show Tags

08 Feb 2017, 04:00
1
KUDOS
yuerchang wrote:
What is the sum of integers from $$-190$$ to $$195$$, inclusive?
A 0
B 5
C 375
D 875
E 965

SUM = AVERAGE x NUMBER OF DATA POINTS

$$Average = \frac{(-190 + 195)}{2} = \frac{5}{2} = 2.5$$

Number of data point $$= 195 - (-190) + 1 = 386$$

$$Sum = 2.5 * 386 = 965$$

_________________

"Be challenged at EVERY MOMENT."

“Strength doesn’t come from what you can do. It comes from overcoming the things you once thought you couldn’t.”

"Each stage of the journey is crucial to attaining new heights of knowledge."

Math Expert
Joined: 02 Aug 2009
Posts: 5784
Re: What is the sum of integers from -190 to 195, inclusive? [#permalink]

Show Tags

08 Feb 2017, 05:02
yuerchang wrote:
What is the sum of integers from -190 to 195, inclusive?
A 0
B 5
C 375
D 875
E 965

Hi,

We know -190 to 190 will cancel out..
now what is important is how fast you can calculate 191+192+193+194+195

There are five terms which are close to 200, so ans will be close to 5*200=1000...

If you want exact answer, it may be beneficial to calculate how far answer will be from 1000..
So they are 5+6+7+8+9 away, this is 35...
And 1000-35=965...

E
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

GMAT online Tutor

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3466
Location: India
GPA: 3.5
Re: What is the sum of integers from -190 to 195, inclusive? [#permalink]

Show Tags

08 Feb 2017, 07:39
yuerchang wrote:
What is the sum of integers from -190 to 195, inclusive?
A 0
B 5
C 375
D 875
E 965

Integers from -190 to 190 is -

( -190 , -189 , -188...........-2 , -1 ,0 ) + ( 0 , 1 , 2 ............188 , 189 , 190) = 0

Sum of integers from -190 to 195 = Sum of Integers from -190 to 190 ( ie, 0 ) + 191 + 192 + 193 + 194 + 195 => 965

Hence, answer must be (E) 965
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2638
Location: United States (CA)
Re: What is the sum of integers from -190 to 195, inclusive? [#permalink]

Show Tags

13 Feb 2017, 08:37
1
KUDOS
Expert's post
yuerchang wrote:
What is the sum of integers from -190 to 195, inclusive?
A 0
B 5
C 375
D 875
E 965

In determining the sum of the integers from -190 to 195 inclusive, we should recognize that all of the negative integers will cancel out with their positive counterparts.

For instance, we have -190 and 190, -150 and 150, -10 and 10, etc.

Thus, the only positive numbers that won’t cancel out with their negative counterparts are 191, 192, 193, 194, and 195.

To determine the sum of these numbers, we can use this formula: sum = average x quantity.

Since we have an evenly spaced set, the average is equal to the median, which is 193, and the quantity is 5.

Thus, the sum = 193 x 5 = 965.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: What is the sum of integers from -190 to 195, inclusive?   [#permalink] 13 Feb 2017, 08:37

Go to page    1   2    Next  [ 21 posts ]

Display posts from previous: Sort by