GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 23 Oct 2019, 13:59

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

In a set of consecutive integers the least number is – 23. If the aver

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58464
In a set of consecutive integers the least number is – 23. If the aver  [#permalink]

Show Tags

New post 02 Jan 2018, 23:41
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

65% (01:35) correct 35% (01:26) wrong based on 83 sessions

HideShow timer Statistics

Retired Moderator
avatar
D
Joined: 25 Feb 2013
Posts: 1177
Location: India
GPA: 3.82
GMAT ToolKit User Reviews Badge
In a set of consecutive integers the least number is – 23. If the aver  [#permalink]

Show Tags

New post 03 Jan 2018, 04:22
1
1
Bunuel wrote:
In a set of consecutive integers the least number is –23. If the average (arithmetic mean) of the set is 1, what is the greatest value in the set?

A. 27
B. 26
C. 25
D. 24
E. 23


Sum of \(n\) consecutive integers \(= \frac{n(-23+last term)}{2}\) (here last term of the series will have the greatest value)

Therefore average of \(n\) terms \(= \frac{n(-23+last term)}{2n}=1\)

\(=> -23+Last term=2 => last Term=25\)

Option C
Manager
Manager
avatar
S
Status: Single
Joined: 02 Jan 2016
Posts: 181
Location: India
Concentration: General Management, Accounting
GMAT 1: 730 Q49 V40
GPA: 4
WE: Law (Manufacturing)
Reviews Badge CAT Tests
Re: In a set of consecutive integers the least number is – 23. If the aver  [#permalink]

Show Tags

New post 23 Feb 2018, 22:27
Bunuel wrote:
In a set of consecutive integers the least number is –23. If the average (arithmetic mean) of the set is 1, what is the greatest value in the set?

A. 27
B. 26
C. 25
D. 24
E. 23



Using logic

-23 + -22 ...0 + 1 + 2 ...+23, uptill this the sum = 0,

now we n = 24 (including "0") + 23 = 47; so n = 47 now we need avg as 1 i.e 1 distributed to 47 different no.'s, thus it we need 24 + 25 = 49 and then 47+ 2 = new N
thus 49/49 = 1
Current Student
User avatar
P
Joined: 07 Jan 2016
Posts: 1083
Location: India
GMAT 1: 710 Q49 V36
Reviews Badge
Re: In a set of consecutive integers the least number is – 23. If the aver  [#permalink]

Show Tags

New post 23 Feb 2018, 23:03
Bunuel wrote:
In a set of consecutive integers the least number is –23. If the average (arithmetic mean) of the set is 1, what is the greatest value in the set?

A. 27
B. 26
C. 25
D. 24
E. 23


-23 to 23 sum is 0 and we have 47 terms now 24+25 = 49 and we will have 49 terms

avg = 0 + 24 +25/49 = 1

thus largest 25
(C) imo
Intern
Intern
avatar
B
Joined: 27 Jul 2017
Posts: 47
Re: In a set of consecutive integers the least number is – 23. If the aver  [#permalink]

Show Tags

New post 24 Feb 2018, 08:31
3
Bunuel wrote:
In a set of consecutive integers the least number is –23. If the average (arithmetic mean) of the set is 1, what is the greatest value in the set?

A. 27
B. 26
C. 25
D. 24
E. 23


A basic rule of number properties, we know that average of consecutive integers = (First term + Last term)/2. Now relating to the question first term is -23 and average of the set is 1. Putting above values in the formula will give us the answer 25. Therefore the answer is (C).
_________________
Ujjwal
Sharing is Gaining!
Manager
Manager
avatar
S
Joined: 23 Sep 2016
Posts: 233
Reviews Badge
In a set of consecutive integers the least number is – 23. If the aver  [#permalink]

Show Tags

New post 27 Feb 2018, 00:37
Bunuel wrote:
In a set of consecutive integers the least number is –23. If the average (arithmetic mean) of the set is 1, what is the greatest value in the set?

A. 27
B. 26
C. 25
D. 24
E. 23

answer is C i use the approach of plug in back i used c 1st as rest smaller or larger number will be eliminated as options are in descending order then total number of variables are 25-(-23)+1 because both terms are included. so total terms are 49 now total sum will be till 23 every thing is eliminated left with only 24+25 whose sum is also 49 and then average will be 1.
If you like my explanation please provide me kudos
Intern
Intern
avatar
B
Joined: 20 Dec 2017
Posts: 35
Location: Singapore
CAT Tests
Re: In a set of consecutive integers the least number is – 23. If the aver  [#permalink]

Show Tags

New post 27 Feb 2018, 01:10
Would be easy by just using the mean formula: \(\frac{Xmin + Xmax}{2}= 1\)

Hence \(\frac{-23 + x}{2} = 1\)

\(x = 25\)

Answer = C
Board of Directors
User avatar
D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4784
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
Re: In a set of consecutive integers the least number is – 23. If the aver  [#permalink]

Show Tags

New post 15 Aug 2019, 03:38
Bunuel wrote:
In a set of consecutive integers the least number is –23. If the average (arithmetic mean) of the set is 1, what is the greatest value in the set?

A. 27
B. 26
C. 25
D. 24
E. 23


The least term is -23

So, the numbers keep on increasing in ascending order , { -23 , -22 , -21...........................}

Now, the result of Numbers from - 23 to 23 will yeild 0 and this average of these 47 terms (Including 0) will be 0


Now, go further and check 24 / 48 Not equal to 1 , 24 + 25/49 = 1 , Thus Answer must be (C) 25
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
GMAT Club Bot
Re: In a set of consecutive integers the least number is – 23. If the aver   [#permalink] 15 Aug 2019, 03:38
Display posts from previous: Sort by

In a set of consecutive integers the least number is – 23. If the aver

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





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