It is currently 11 Dec 2017, 04:35

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What is the sum of 60 consecutive integers from -29 inclusive, in a in

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Revolution GMAT Instructor
User avatar
P
Joined: 16 Aug 2015
Posts: 4457

Kudos [?]: 3131 [0], given: 0

GPA: 3.82
Premium Member
What is the sum of 60 consecutive integers from -29 inclusive, in a in [#permalink]

Show Tags

New post 19 Jun 2016, 17:55
Expert's post
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

83% (00:50) correct 17% (00:42) wrong based on 108 sessions

HideShow timer Statistics

What is the sum of 60 consecutive integers from -29 inclusive, in a increasing order?
A. -29
B. 29
C. -30
D. 30
E. 60

*An answer will be posted in 2 days.
[Reveal] Spoiler: OA

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Kudos [?]: 3131 [0], given: 0

Senior Manager
Senior Manager
User avatar
Joined: 18 Jan 2010
Posts: 257

Kudos [?]: 171 [0], given: 9

Re: What is the sum of 60 consecutive integers from -29 inclusive, in a in [#permalink]

Show Tags

New post 19 Jun 2016, 21:57
MathRevolution wrote:
What is the sum of 60 consecutive integers from -29 inclusive, in a increasing order?
A. -29
B. 29
C. -30
D. 30
E. 60

*An answer will be posted in 2 days.


From -29 to -1 --> 29 nos.
zero --> 1 number
from +1 to +29 --> 29 nos.

When we add up nos. from -29 to +29 sum will be zero. Total 59 nos will be added.

60th number will be "30".

Sum of these 60 nos. = 30.

D is the answer.

Kudos [?]: 171 [0], given: 9

Expert Post
Math Revolution GMAT Instructor
User avatar
P
Joined: 16 Aug 2015
Posts: 4457

Kudos [?]: 3131 [0], given: 0

GPA: 3.82
Premium Member
Re: What is the sum of 60 consecutive integers from -29 inclusive, in a in [#permalink]

Show Tags

New post 21 Jun 2016, 17:18
(-29)+(-28)+…….+(-1)+0+1+…….+28+29+30=30. Hence, the correct answer is D.
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Kudos [?]: 3131 [0], given: 0

Intern
Intern
avatar
B
Joined: 06 May 2015
Posts: 25

Kudos [?]: 2 [0], given: 99

Re: What is the sum of 60 consecutive integers from -29 inclusive, in a in [#permalink]

Show Tags

New post 08 Aug 2016, 12:09
we can solve it by applying direct formula-
tn=a+(n-1)d
tn=-29+(60-1)1
tn=+30 hence answer is D

Kudos [?]: 2 [0], given: 99

Top Contributor
Senior Manager
Senior Manager
avatar
Joined: 15 Sep 2011
Posts: 358

Kudos [?]: 427 [0], given: 45

Location: United States
WE: Corporate Finance (Manufacturing)
GMAT ToolKit User
Re: What is the sum of 60 consecutive integers from -29 inclusive, in a in [#permalink]

Show Tags

New post 08 Aug 2016, 14:39
Top Contributor
30 numbers from -29 is +30, including -29 and 30 themselves. A, C are wrong because the number cannot be negative. B is not the answer since -29+29+1 is 59.
IMO D


Sent from my iPhone using Tapatalk

Kudos [?]: 427 [0], given: 45

Senior Manager
Senior Manager
User avatar
B
Status: DONE!
Joined: 05 Sep 2016
Posts: 408

Kudos [?]: 26 [0], given: 283

Re: What is the sum of 60 consecutive integers from -29 inclusive, in a in [#permalink]

Show Tags

New post 27 Oct 2016, 12:27
For this problem it is useful to try to visualize the number line:

-29 to 0: how many numbers is that? --> 29-0+1 = 30...GREAT! we're half way there

30-1+1 = 30 --> 30+30 = 60

We know that on the left hand side of zero we have -29 as the smallest value and on the right hand side we have all of the same values except 30. -29 cancels out with 29 in addition to all other values greater than -29 and less than 30. Thus, we are left with 30.

D is the correct answer.

Kudos [?]: 26 [0], given: 283

Intern
Intern
avatar
B
Joined: 11 Oct 2017
Posts: 22

Kudos [?]: 6 [0], given: 82

Re: What is the sum of 60 consecutive integers from -29 inclusive, in a in [#permalink]

Show Tags

New post 12 Oct 2017, 14:01
1
This post was
BOOKMARKED
Number of Integers (inclusive) = N = (Last Number - First Number) +1

Sum of Integers = (First Number + Last Number)*N))/2

1.

We know N is 60 because it tells us that there are 60 integers and the smallest is -29, so -29 is the first number.

N =60 ... So 60 = (Last Number -(-29)) + 1

59 = Last Number - (-29)

59 + (-29) = 30 = Last Number

... So the range of numbers is between -29 to 30

2. Sum of Integers = ((-29)+30))*60))/2 = 30 D

Kudos [?]: 6 [0], given: 82

Intern
Intern
avatar
B
Joined: 12 Aug 2017
Posts: 2

Kudos [?]: 0 [0], given: 30

Re: What is the sum of 60 consecutive integers from -29 inclusive, in a in [#permalink]

Show Tags

New post 13 Oct 2017, 12:09
Watching the symmetric pattern, and also including -29

we have -29 ....0 .... 29 both inclusive to be 59 numbers and its resultant sum comes out to be ZERO

So 60th number equal to the sum of the series = 30.

Kudos [?]: 0 [0], given: 30

Re: What is the sum of 60 consecutive integers from -29 inclusive, in a in   [#permalink] 13 Oct 2017, 12:09
Display posts from previous: Sort by

What is the sum of 60 consecutive integers from -29 inclusive, in a in

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.