NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 10:55 It is currently 25 Apr 2024, 10:55
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

There is a set of 10 consecutive integers. If the sum of the largest 5

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
G
Jazzmin
Intern
Intern
Joined: 07 Jun 2018
Posts: 45
Own Kudos [?]: 177 [2]
Given Kudos: 72
Location: United States
Send PM
There is a set of 10 consecutive integers. If the sum of the largest 5 [#permalink] New post   25 Dec 2018, 14:14
2
Bookmarks
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

74% (01:50) correct 26% (02:00) wrong based on 48 sessions
Hide Show timer Statistics
There is a set of 10 consecutive integers. If the sum of the largest 5 integers in the set is 355, what is the sum of the smallest 5 integers?

a. 315
b. 320
c. 325
d. 330
e. 355
ShowHide Answer
Official Answer
D
User avatar
P
gracie
VP
VP
Joined: 07 Dec 2014
Posts: 1072
Own Kudos [?]: 1561 [0]
Given Kudos: 27
Send PM
There is a set of 10 consecutive integers. If the sum of the largest 5 [#permalink] New post   25 Dec 2018, 15:54
Jazzmin wrote:
There is a set of 10 consecutive integers. If the sum of the largest 5 integers in the set is 355, what is the sum of the smallest 5 integers?

a. 315
b. 320
c. 325
d. 330
e. 355


terms 1-5 are each 5 less than terms 6-10 respectively
355-5*5=330
D
User avatar
L
EgmatQuantExpert
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3726
Own Kudos [?]: 16838 [0]
Given Kudos: 165
Send PM
Re: There is a set of 10 consecutive integers. If the sum of the largest 5 [#permalink] New post   26 Dec 2018, 10:53
Expert Reply

Solution



Given:
    • There is a set of 10 consecutive integers
    • The sum of the largest 5 integers in the set is 355

To find:
    • The sum of the smallest 5 integers

Approach and Working:
As all the 10 numbers are consecutive integers, we can say:
    • 6th number – 1st number = 5
    • 7th number – 2nd number = 5
    • 8th number – 3rd number = 5
    • 9th number – 4th number = 5
    • 10th number – 5th number = 5

Therefore, sum of last 5 numbers – sum of first 5 numbers = 5 x 5 = 25
Or, sum of first 5 numbers = sum of smallest 5 numbers = 355 – 25 = 330

Hence, the correct answer is option D.

Answer: D

User avatar
D
KSBGC
VP
VP
Joined: 31 Oct 2013
Posts: 1260
Own Kudos [?]: 1155 [0]
Given Kudos: 635
Concentration: Accounting, Finance
GPA: 3.68
WE:Analyst (Accounting)
Send PM
Re: There is a set of 10 consecutive integers. If the sum of the largest 5 [#permalink] New post   26 Dec 2018, 13:40
Jazzmin wrote:
There is a set of 10 consecutive integers. If the sum of the largest 5 integers in the set is 355, what is the sum of the smallest 5 integers?

a. 315
b. 320
c. 325
d. 330
e. 355


Consecutive integers***

Sum of largest 5 integers = 335.

If we divide 335 by 5 we will get the 8th one:

335/5 = 71

8th = 71.

So, 5th =68.

4th = 67
3rd=66
2nd= 65
1st = 64.

Add them:

68 + 67 + 66 + 65 + 64 = 330.

D is the correct answer.
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8019
Own Kudos [?]: 4096 [0]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: There is a set of 10 consecutive integers. If the sum of the largest 5 [#permalink] New post   26 Dec 2018, 17:00
Jazzmin wrote:
There is a set of 10 consecutive integers. If the sum of the largest 5 integers in the set is 355, what is the sum of the smallest 5 integers?

a. 315
b. 320
c. 325
d. 330
e. 355



let 1st term be x
since all are consective so
2nd=x+1, 3rd x+2 ... so on
so 6th to 10th term sum = 355
or say
5x+35=355
x=64 1st term

so sum of first 5 terms would be
sn = n/2 ( 2a+(n-1)d)
n=5 , a = 64 d= 1
solve we would get
sn= 330 IMO D
User avatar
S
Ypsychotic
Manager
Manager
Joined: 24 Nov 2018
Posts: 85
Own Kudos [?]: 68 [0]
Given Kudos: 52
Location: India
GPA: 3.27
WE:General Management (Retail Banking)
Send PM
Re: There is a set of 10 consecutive integers. If the sum of the largest 5 [#permalink] New post   26 Dec 2018, 18:50
Jazzmin wrote:
There is a set of 10 consecutive integers. If the sum of the largest 5 integers in the set is 355, what is the sum of the smallest 5 integers?

a. 315
b. 320
c. 325
d. 330
e. 355


Let the no. be x-5, x-4, x-3, x-2, x-1, x, x+1, x+2, x+3, x+4,

Sm of largest 5 integeres =5x+(1+2+3+4)=5x+10=355--> 5x=355-10=345

Sum of smallest 5 integers= 5x-(1+2+3+4+5)=5x-15=345-15=330.

IMO, Option D.
GMAT Club Bot
gmatclubot
Re: There is a set of 10 consecutive integers. If the sum of the largest 5 [#permalink]
26 Dec 2018, 18:50
Moderators:
Bunuel
Math Expert
92914 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

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