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

It is currently 23 May 2018, 04:01

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

M26-24

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

Hide Tags

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 45266
M26-24 [#permalink]

Show Tags

New post 16 Sep 2014, 01:25
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

65% (01:46) correct 35% (01:35) wrong based on 57 sessions

HideShow timer Statistics

A set A consists of 7 consecutive odd integers. If the sum of 5 largest integers of set A is -185 what is the sum of the 5 smallest integers of set A?

A. -165
B. -175
C. -195
D. -205
E. -215

_________________

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

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 45266
Re M26-24 [#permalink]

Show Tags

New post 16 Sep 2014, 01:25
1
This post received
KUDOS
Expert's post
Official Solution:

A set A consists of 7 consecutive odd integers. If the sum of 5 largest integers of set A is -185 what is the sum of the 5 smallest integers of set A?

A. -165
B. -175
C. -195
D. -205
E. -215


Say 7 consecutive odd integers are: \(x\), \(x+2\), \(x+4\), \(x+6\), \(x+8\), \(x+10\), \(x+12\).

Question: \(x+(x+2)+(x+4)+(x+6)+(x+8)=5x+20=\)?

Given: \((x+4)+(x+6)+(x+8)+(x+10)+(x+12)=-185\)

\((x+4)+(x+6)+(x+8)+(x+10)+(x+12)=5x+40=-185\)

\((5x+20)+20=-185\)

\(5x+20=-205\)


Answer: D
_________________

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

3 KUDOS received
Manager
Manager
User avatar
B
Joined: 11 Sep 2013
Posts: 150
Concentration: Finance, Finance
Re: M26-24 [#permalink]

Show Tags

New post 27 Nov 2014, 16:02
3
This post received
KUDOS
5
This post was
BOOKMARKED
Average of largest 5 = -185/5 =-37
So the largest numbers are -41, -39, -37, -35, -33

Now if we consider smallest 5, we have to eliminate last 2 numbers, which are -35 and -33


Notice here that the numbers are equally spaced.
So the average of smallest number will just shift 2 place to the left.
Avg= -41
Therefore, total = -41*5= -205
Intern
Intern
avatar
Joined: 12 Aug 2014
Posts: 3
Re: M26-24 [#permalink]

Show Tags

New post 04 Feb 2015, 00:55
Can you please explain this step of the solution:

(5x+20)+20=-185

I'm having a difficult time understanding how this 20 appears
Intern
Intern
avatar
Joined: 17 Sep 2014
Posts: 2
Re: M26-24 [#permalink]

Show Tags

New post 04 Feb 2015, 01:13
wpereira3 wrote:
Can you please explain this step of the solution:

(5x+20)+20=-185

I'm having a difficult time understanding how this 20 appears

From previous step -

(5x+20)+20=-185 is the same as (5x+40)=-185
Verbal Forum Moderator
avatar
Joined: 15 Apr 2013
Posts: 191
Location: India
Concentration: General Management, Marketing
GMAT Date: 11-23-2015
GPA: 3.6
WE: Science (Other)
GMAT ToolKit User Premium Member Reviews Badge
M26-24 [#permalink]

Show Tags

New post 21 Aug 2015, 20:29
Dear Buenel,


You have mentioned in the solution that

5x+20 is the "sum of five smallest" but isn't it the "Sum of five Largest" because we are dealing with negative numbers (i.e. X is negative)

If this is the case then the answer would be -175.

Please assist.
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 45266
Re: M26-24 [#permalink]

Show Tags

New post 22 Aug 2015, 05:00
WillGetIt wrote:
Dear Buenel,


You have mentioned in the solution that

5x+20 is the "sum of five smallest" but isn't it the "Sum of five Largest" because we are dealing with negative numbers (i.e. X is negative)

If this is the case then the answer would be -175.

Please assist.


Our 7 consecutive odd integers are: \(x\), \(x+2\), \(x+4\), \(x+6\), \(x+8\), \(x+10\), \(x+12\).

Let me ask you a question, which 5 of them are the smallest? Aren't those \(x\), \(x+2\), \(x+4\), \(x+6\) and \(x+8\)? What difference does it make whether x is negative or positive??
_________________

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

Director
Director
User avatar
S
Joined: 08 Jun 2015
Posts: 505
Location: India
GMAT 1: 640 Q48 V29
Premium Member CAT Tests
Re: M26-24 [#permalink]

Show Tags

New post 08 Jul 2016, 07:59
Raihanuddin wrote:
Average of largest 5 = -185/5 =-37
So the largest numbers are -41, -39, -37, -35, -33

Now if we consider smallest 5, we have to eliminate last 2 numbers, which are -35 and -33


Notice here that the numbers are equally spaced.
So the average of smallest number will just shift 2 place to the left.
Avg= -41
Therefore, total = -41*5= -205


Brilliant :-) Liked your approach !
_________________

" The few , the fearless "

Intern
Intern
avatar
Joined: 27 Apr 2015
Posts: 1
Reviews Badge
Re: M26-24 [#permalink]

Show Tags

New post 13 Sep 2016, 08:56
A relatively easier method to lessen calculation:

Let the consecutive odd numbers be n-6, n-4, n-2, n, n+2, n+4, n+6

Given, n-2 + n + n+2 + n+4 + n+6 = -185
=> 5n = -195

Therefore, n-6 + n-4 + n-2 + n + n+2 = 5n -10 = -195 - 10 = -205. Thus solved :)
Intern
Intern
avatar
B
Joined: 21 Jan 2015
Posts: 8
GMAT 1: 570 Q41 V28
GPA: 3.47
Reviews Badge
Re: M26-24 [#permalink]

Show Tags

New post 27 Oct 2016, 09:58
we can have another approach. If we question how many number is added in terms of number line, we will get 12 (largest-lowest) and 8 (2nd largest-2nd lowest). so in total 20 will be added and since all are negative number so the sum will be (-185-20)= -205
Intern
Intern
avatar
Joined: 23 Jan 2017
Posts: 2
M26-24 [#permalink]

Show Tags

New post 29 Mar 2017, 19:45
here sum is negative right.means Sum of largest number should not be last 5 but a,a+4,........Then answer is -165 Where am I wrong??? I mean clearly a is negative,and in negative numbers smaller is larger.Please reply ??
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 45266
Re: M26-24 [#permalink]

Show Tags

New post 29 Mar 2017, 23:06
soniyanibhani wrote:
here sum is negative right.means Sum of largest number should not be last 5 but a,a+4,........Then answer is -165 Where am I wrong??? I mean clearly a is negative,and in negative numbers smaller is larger.Please reply ??


The integers are: {x, x+2, x+4, x+6, x+8, x+10, x+12} = {-45, -43, -41, -39, -37, -35, -33}.

The five largest there are {x+4, x+6, x+8, x+10, x+12} = {-41, -39, -37, -35, -33}. The sum = -185.
The five smallest there are {x, x+2, x+4, x+6, x+8} = {-45, -43, -41, -39, -37}. The sum = -205.

Hope it's clear.
_________________

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

Intern
Intern
avatar
Joined: 23 Jan 2017
Posts: 2
Re: M26-24 [#permalink]

Show Tags

New post 30 Mar 2017, 00:40
Bunuel wrote:
soniyanibhani wrote:
here sum is negative right.means Sum of largest number should not be last 5 but a,a+4,........Then answer is -165 Where am I wrong??? I mean clearly a is negative,and in negative numbers smaller is larger.Please reply ??


The integers are: {x, x+2, x+4, x+6, x+8, x+10, x+12} = {-45, -43, -41, -39, -37, -35, -33}.

The five largest there are {x+4, x+6, x+8, x+10, x+12} = {-41, -39, -37, -35, -33}. The sum = -185.
The five smallest there are {x, x+2, x+4, x+6, x+8} = {-45, -43, -41, -39, -37}. The sum = -205.

Hope it's clear.



Oh yes.I got it. Thanks a lot. I am so fool.
Manager
Manager
avatar
S
Joined: 04 Jun 2015
Posts: 85
Re: M26-24 [#permalink]

Show Tags

New post 18 Jul 2017, 02:42
Why I am not getting the same answer if I take the series 2n+1, 2n+3, 2n+5....., 2n+13
Given 5 largest sum, so that will be from 2n+5 to 2n+13
10n+45 = -185
n = 22

Asked - Sum of first five, so that will from 2n+1 to 2n+9
10n + 25 = -195

Bunuel please clarify
_________________

Sortem sternit fortem!

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 45266
Re: M26-24 [#permalink]

Show Tags

New post 18 Jul 2017, 03:06
Sash143 wrote:
A set A consists of 7 consecutive odd integers. If the sum of 5 largest integers of set A is -185 what is the sum of the 5 smallest integers of set A?

A. -165
B. -175
C. -195
D. -205
E. -215

Why I am not getting the same answer if I take the series 2n+1, 2n+3, 2n+5....., 2n+13
Given 5 largest sum, so that will be from 2n+5 to 2n+13
10n+45 = -185
n = 22

Asked - Sum of first five, so that will from 2n+1 to 2n+9
10n + 25 = -195

Bunuel please clarify


From 10n + 45 = -185 it follows that n = -23, not 22. In this case 10n + 25 = -205.
_________________

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

1 KUDOS received
Intern
Intern
avatar
B
Joined: 14 Mar 2018
Posts: 1
CAT Tests
Re: M26-24 [#permalink]

Show Tags

New post 12 May 2018, 10:01
1
This post received
KUDOS
I used easy numbers to plug in and solve. I started at -1,-3,-5,-7,-9,-11,-13. The smallest 5 numbers are -1,-3,-5,-7,-9. The largest 5 numbers are -5,-7,-9,-11,-13. Therefore, -1,-3 and -11,-13 are the only different numbers in those two sets. The difference between those 4 numbers are 20. Then I just add 20 to 185 and I got 205. Done.
Re: M26-24   [#permalink] 12 May 2018, 10:01
Display posts from previous: Sort by

M26-24

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

Moderators: chetan2u, Bunuel



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®.