GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 19 Apr 2021, 17:29
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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
In a series of twenty consecutive integers, the sum of the first two
7 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 74491
CAT Tests Top Member of the Month
In a series of twenty consecutive integers, the sum of the first two [#permalink] New post  23 Jan 2019, 00:53
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

74% (01:26) correct 26% (01:23) wrong based on 130 sessions

Hide Show timer Statistics

In a series of twenty consecutive integers, the sum of the first two integers is 37. What is the sum of the last three integers in the set?


A 107

B 108

C 109

D 110

E 111
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL. Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant

Questions' Banks and Collection:
PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
V
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 6965
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE:Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member Reviews Badge
Re: In a series of twenty consecutive integers, the sum of the first two [#permalink] New post  23 Jan 2019, 07:05
Bunuel wrote:
In a series of twenty consecutive integers, the sum of the first two integers is 37. What is the sum of the last three integers in the set?


A 107

B 108

C 109

D 110

E 111



given
2x+1 = 37
x= 18

last three digits
3x+17+18+19
54+54 = 108
IMO B
User avatar
V
generis
Senior SC Moderator
Joined: 22 May 2016
Posts: 4676
Premium Member CAT Tests Top Member of the Month
In a series of twenty consecutive integers, the sum of the first two [#permalink] New post  23 Jan 2019, 13:19
1
Bookmarks
Expert Reply
Bunuel wrote:
In a series of twenty consecutive integers, the sum of the first two integers is 37. What is the sum of the last three integers in the set?


A 107

B 108

C 109

D 110

E 111

In a set of consecutive integers, the sum of the first two is 37

(1) First integer, \(x\)?
\(x + (x+1)=37\)
\(2x+1=37\)
\(x=18\)

(2) Last integer?
If \(x\) is the first integer, and there are 20 integers total, then there are 19 more
Add 19 to \(x=18\) (Consecutive = +1 for each integer in the set.)
\(18+19=37\)

If not sure, use a simpler example: There are 4 consecutive integers in the set.
\(x=18\). List them. 18, 19, 20, 21
There are 4 integers, but we need only +3 added to \(x=18\) to find the last integer.

20 integers in this set, but add only 19 to the first integer. \(18+19=37\)

(3) Sum of last three integers?

Last three integers: 37, 36, 35
Mentally add the units digits.
Units digit = 8
(Or, 37 + 36 + 35 = 108)

Answer B
_________________
People must live and create. Live to the point of tears.
—Albert Camus
Signature Read More
avatar
D
gracie
VP
VP
Joined: 07 Dec 2014
Posts: 1251
In a series of twenty consecutive integers, the sum of the first two [#permalink] New post  Updated on: 23 Jun 2020, 20:59
Bunuel wrote:
In a series of twenty consecutive integers, the sum of the first two integers is 37. What is the sum of the last three integers in the set?


A 107

B 108

C 109

D 110

E 111


let x=first integer
x+(x+1)=37
x=18
19th integer=18+18=36
because 19th integer is mean of last three integers,
sum of last three integers=3*36=108
B

Originally posted by gracie on 23 Jan 2019, 14:36.
Last edited by gracie on 23 Jun 2020, 20:59, edited 1 time in total.
User avatar
V
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 13829
Location: United States (CA)
Re: In a series of twenty consecutive integers, the sum of the first two [#permalink] New post  27 Jan 2019, 18:24
1
Kudos
Expert Reply
Bunuel wrote:
In a series of twenty consecutive integers, the sum of the first two integers is 37. What is the sum of the last three integers in the set?


A 107

B 108

C 109

D 110

E 111


Letting x = the first number in the set, we can create the equation:

x + x + 1 = 37

2x = 36

x = 18

The first integer is 18, and the second integer is 19. Note that the position number of the integer + 17 = the value of the integer. We see that for the 1st integer (position 1), we have 1 + 17 = 18. For the 2nd integer (position 2), we have 2 + 17 = 19. Thus, the 18th integer in the set is (18 + 17) = 35. The 19th integer in the set is (19 + 17) = 36, and the 20th integer in the set is (20 + 17) = 37.

We want the sum of the 18th, 19th, and 20th integers in the set.
Thus, the sum of the last three integers is:

35 + 36 + 37 = 108

Answer: B
_________________

★ ★ ★ ★ ★   338 REVIEWS

5-STAR RATED ONLINE GMAT QUANT SELF STUDY COURSE

NOW WITH GMAT VERBAL (Pre-Launch)

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

Signature Read More
User avatar
V
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 13829
Location: United States (CA)
Re: In a series of twenty consecutive integers, the sum of the first two [#permalink] New post  27 Jun 2020, 04:57
Expert Reply
Bunuel wrote:
In a series of twenty consecutive integers, the sum of the first two integers is 37. What is the sum of the last three integers in the set?


A 107

B 108

C 109

D 110

E 111


Solution:

We can let x = the first integer, then x + 1 = the second integer, x + 17 = the 18th integer, x + 18 = the 19th integer, and x + 19 = the 20th (or the last) integer. We can create the equation:

x + x + 1 = 37

2x = 36

x = 18

So the sum of the last three integers is x + 17 + x + 18 + x + 19 = 3x + 54 = 3(18) + 54 = 108.

Answer: B
_________________

★ ★ ★ ★ ★   338 REVIEWS

5-STAR RATED ONLINE GMAT QUANT SELF STUDY COURSE

NOW WITH GMAT VERBAL (Pre-Launch)

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

Signature Read More
avatar
B
Abhibarua
Intern
Intern
Joined: 31 Jan 2021
Posts: 27
Re: In a series of twenty consecutive integers, the sum of the first two [#permalink] New post  07 Mar 2021, 23:06
Suppose, First term X
Second term X+1

2X+1 = 37
X = 18

((Last term - First term)/ Increment) + 1 = Number of Terms
((Last term - 18)/ 1)) + 1 = 20 [Increment 1 because these are consecutive integers]
Last term = 37

37+36+35 = 108 (Option: B)
GMAT Club Bot
gmatclubot
Re: In a series of twenty consecutive integers, the sum of the first two [#permalink]
07 Mar 2021, 23:06
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
9740 posts
Bunuel
Math Expert
74491 posts
yashikaaggarwal
Senior Moderator - Masters Forum
2445 posts
generis
Senior SC Moderator
4676 posts
Feedback

cron

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

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions