It is currently 14 Dec 2017, 13:14

Decision(s) Day!:

CHAT Rooms | Wharton R1 | Stanford R1 | Tuck R1 | Ross R1 | Haas R1 | UCLA R1


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

In a sequence of consecutive numbers the sum of the first half of the

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42607

Kudos [?]: 135655 [0], given: 12705

In a sequence of consecutive numbers the sum of the first half of the [#permalink]

Show Tags

New post 26 Nov 2017, 07:52
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

81% (01:45) correct 19% (01:07) wrong based on 26 sessions

HideShow timer Statistics

In a sequence of consecutive numbers the sum of the first half of the numbers is 196. If there are 14 numbers in the set, what is the sum of the second half of the numbers?

A. 201
B. 206
C. 210
D. 245
E. 266
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 135655 [0], given: 12705

1 KUDOS received
Manager
Manager
User avatar
S
Joined: 17 Oct 2016
Posts: 150

Kudos [?]: 38 [1], given: 89

Location: India
Concentration: Operations, Strategy
GPA: 3.7
WE: Design (Real Estate)
GMAT ToolKit User Premium Member
Re: In a sequence of consecutive numbers the sum of the first half of the [#permalink]

Show Tags

New post 26 Nov 2017, 08:11
1
This post received
KUDOS
1
This post was
BOOKMARKED
Option D

Let n be the first number. The sum of first 7 numbers are 7n+21=196.
Hence n=25. Now the last 7 numbers are 7n+(7+8+9+10+11+12+13)=245


Sent from my iPhone using GMAT Club Forum
_________________

Help with kudos if u found the post useful. Thanks

Kudos [?]: 38 [1], given: 89

Expert Post
1 KUDOS received
Math Expert
User avatar
D
Joined: 02 Aug 2009
Posts: 5349

Kudos [?]: 6128 [1], given: 121

Re: In a sequence of consecutive numbers the sum of the first half of the [#permalink]

Show Tags

New post 26 Nov 2017, 08:22
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Bunuel wrote:
In a sequence of consecutive numbers the sum of the first half of the numbers is 196. If there are 14 numbers in the set, what is the sum of the second half of the numbers?

A. 201
B. 206
C. 210
D. 245
E. 266



hi..

various ways to do it..

1) average..
consecutive numbers so average will be the middle number = \(\frac{196}{7}=28\)
average of next half = \(28+7=35\), so SUM of these numbers = \(35*7=245\)

2) Sum of each number..
first of 1st half will be 7 less than first of 2nd half
second of 1st half will be 7 less than second of 2nd half and so ontill
seventh of 1st half will be 7 less than first of 2nd half..
total of 2nd half therefore will be 7*7 more than SUM of 1st half ..
sum = 196+49=245

D
_________________

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

Kudos [?]: 6128 [1], given: 121

VP
VP
avatar
P
Joined: 22 May 2016
Posts: 1130

Kudos [?]: 402 [0], given: 645

In a sequence of consecutive numbers the sum of the first half of the [#permalink]

Show Tags

New post 26 Nov 2017, 09:43
Bunuel wrote:
In a sequence of consecutive numbers the sum of the first half of the numbers is 196. If there are 14 numbers in the set, what is the sum of the second half of the numbers?

A. 201
B. 206
C. 210
D. 245
E. 266

With 14 consecutive integers, the first half of the numbers are terms 1 through 7. Sum of these first seven = 196

For consecutive integers,
First term = n
Seventh term = n + 6

Sum of first half of numbers:

(Average)(# of terms) = Sum

Average = \(\frac{(First Term+LastTerm)}{2}\)

\(\frac{(n + n + 6)}{2} * 7 = 196\)

\((2n + 6)(7) = 392\)
\(14n + 42 = 392\)
\(14n = 350\)
\(n = 25\)

Second half of numbers = terms 8 to 14
8th term: (n+7) = (25+7) = 32
14th term: (n+13)=(25+13) = 38
Sum of second half of numbers, from 32 to 38:

\(\frac{32 + 38}{2}*(7)=(35*7)=245\)

Answer D

Kudos [?]: 402 [0], given: 645

In a sequence of consecutive numbers the sum of the first half of the   [#permalink] 26 Nov 2017, 09:43
Display posts from previous: Sort by

In a sequence of consecutive numbers the sum of the first half of the

  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®.