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

It is currently 22 Jan 2019, 08:47

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 in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winners of the GMAT game show

     January 22, 2019

     January 22, 2019

     10:00 PM PST

     11:00 PM PST

    In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.
  • Key Strategies to Master GMAT SC

     January 26, 2019

     January 26, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

The incomplete table above shows a distribution of scores fo

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

Hide Tags

 
Senior Manager
Senior Manager
avatar
Joined: 10 Jul 2013
Posts: 314
The incomplete table above shows a distribution of scores fo  [#permalink]

Show Tags

New post Updated on: 22 Aug 2013, 03:08
8
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

69% (01:54) correct 31% (01:55) wrong based on 173 sessions

HideShow timer Statistics

Attachment:
incomplete.png
incomplete.png [ 3.28 KiB | Viewed 2522 times ]
The incomplete table above shows a distribution of scores for a class of 25 students. If the average (arithmetic mean) score for the class is 83, what score is missing from the table?

A. 75
B. 77
C. 81
D. 84
E. 86

_________________

Asif vai.....


Originally posted by Asifpirlo on 21 Aug 2013, 17:19.
Last edited by Bunuel on 22 Aug 2013, 03:08, edited 1 time in total.
Edited the question.
Most Helpful Community Reply
Manager
Manager
avatar
Joined: 31 Jul 2013
Posts: 50
Location: United States
Concentration: General Management, Entrepreneurship
GPA: 3.6
WE: Law (Entertainment and Sports)
Re: The incomplete table above shows a distribution of scores fo  [#permalink]

Show Tags

New post 21 Aug 2013, 18:53
6
1
madhurs254 wrote:
Asifpirlo wrote:
The incomplete table above shows a distribution of scores for a class of 25 students. If the average (arithmetic mean)
score for the class is 83, what score is missing from the table?
A. 75
B. 77
C. 81
D. 84
E. 86


we can write it like

83= (92*4 + 91*6 + x*3 + 83*7 + 71*5)/ 25

Solving this will give x=75 Ans.


Yeah, this is the long way. For the short way, simply calculate the deviations from the mean for each score to figure out what the other score is.

92 is 9 away from the mean, so 4x9=36 pts above
91 is 8 away from the mean, so 6x8=48 pts above
83 is equal, no worries
71 is 12 away from the mean, so 5x12=60 pts below.

We have 84 pts above and 60 below, so the unknown score's deviation must be 84-60=24 pts below distributed among 3 students, so 8 pts per student. 83-8 = 75pts.
General Discussion
Intern
Intern
avatar
Joined: 21 Aug 2013
Posts: 6
Re: The incomplete table above shows a distribution of scores fo  [#permalink]

Show Tags

New post 21 Aug 2013, 18:45
Asifpirlo wrote:
The incomplete table above shows a distribution of scores for a class of 25 students. If the average (arithmetic mean)
score for the class is 83, what score is missing from the table?
A. 75
B. 77
C. 81
D. 84
E. 86


we can write it like

83= (92*4 + 91*6 + x*3 + 83*7 + 71*5)/ 25

Solving this will give x=75 Ans.
Director
Director
User avatar
S
Affiliations: CrackVerbal
Joined: 03 Oct 2013
Posts: 533
Location: India
GMAT 1: 780 Q51 V46
Re: The incomplete table above shows a distribution of scores fo  [#permalink]

Show Tags

New post 20 Apr 2015, 18:02
1
Hi
Easiest way of solving this questions finding the deviation from the mean.
Average given is 83.
92 is 9 more than 83 and we have 4 students. So total points will be (9*4)36.
91 is 8 more than 83 and we have 6 students. So total points will be (8*6)48.
83 is more than the average. So no need of counting this.
71 is 12 less than 83 and we have 5 students. So total points will(12*5) 60.
So total points more is 84 and less is 60. So the value will be less than 83(84-60points) 24 points. Since there are 3 students. 24/3 is 8 . So the value will 8 less than the average which is 83-8= 75.
So 75 is the answer.
_________________

For more info on GMAT and MBA, follow us on @AskCrackVerbal

Register for the Free GMAT Video Training Course : https://crackverbal.com/MBA-Through-GMAT-2019-Registration

Board of Directors
User avatar
V
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3626
Premium Member Reviews Badge
Re: The incomplete table above shows a distribution of scores for a class  [#permalink]

Show Tags

New post 28 Aug 2016, 10:36
Bunuel wrote:
Image
The incomplete table above shows a distribution of scores for a class of 25 students. If the average (arithmetic mean) score for the class is 83, what score is missing from the table?

A. 75
B. 77
C. 81
D. 84
E. 86

Attachment:
2016-08-28_2152.png


Answer is A.

Sum of all = Average * 25 = 83*25=2075. -- (1)

From the table we can say, sum of all numbers = 92*4 + 91 *6 +83*7 + 71*5 + 3*X [X is the Value of Unknown score) -- (2)

Equating (1) and -- (2), we will get X= 75.
_________________

My GMAT Story: From V21 to V40
My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub | Importance of an Error Log!
Verbal Resources: All SC Resources at one place | All CR Resources at one place
Blog: Subscribe to Question of the Day Blog
GMAT Club Inbuilt Error Log Functionality - View More.
New Visa Forum - Ask all your Visa Related Questions - here.
New! Best Reply Functionality on GMAT Club!
Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free
Check our new About Us Page here.

Retired Moderator
avatar
G
Joined: 26 Nov 2012
Posts: 592
Premium Member
Re: The incomplete table above shows a distribution of scores for a class  [#permalink]

Show Tags

New post 28 Aug 2016, 10:43
Bunuel wrote:
Image
The incomplete table above shows a distribution of scores for a class of 25 students. If the average (arithmetic mean) score for the class is 83, what score is missing from the table?

A. 75
B. 77
C. 81
D. 84
E. 86

Attachment:
2016-08-28_2152.png


92*4 + 91*6 + 3x+83*7+71*5 / 25 = 83

1850 + 3x = 2075
3x = 225 => x =75

Option A.

Is there any short cut method ?
Manager
Manager
avatar
Joined: 04 Jan 2014
Posts: 117
GMAT 1: 660 Q48 V32
GMAT 2: 630 Q48 V28
GMAT 3: 680 Q48 V35
Re: The incomplete table above shows a distribution of scores for a class  [#permalink]

Show Tags

New post 28 Aug 2016, 16:08
5
msk0657 wrote:
Bunuel wrote:
Image
The incomplete table above shows a distribution of scores for a class of 25 students. If the average (arithmetic mean) score for the class is 83, what score is missing from the table?

A. 75
B. 77
C. 81
D. 84
E. 86

Attachment:
2016-08-28_2152.png


92*4 + 91*6 + 3x+83*7+71*5 / 25 = 83

1850 + 3x = 2075
3x = 225 => x =75

Option A.

Is there any short cut method ?


Possible shortcut:

First, find the unit digit of the total sum.
Total sum = Avg * number of students
= 83 * 25 -> unit digit is 5.

Next, find the unit digit of each pair from the table and add them up.

92 * 4 -> xx8
91 * 6 -> xx6
83 * 7 -> xx1
71 * 5 -> xx5

8+6+1+5 -> 0

So, the remaining pair must end with 5. The number of student is 3 so the score must have 5 as the units digit. Only 75 from the given options satisfies.

Answer (A).
Senior Manager
Senior Manager
avatar
S
Joined: 07 Sep 2014
Posts: 345
Concentration: Finance, Marketing
Re: The incomplete table above shows a distribution of scores for a class  [#permalink]

Show Tags

New post 28 Aug 2016, 21:00
4
1
Bunuel wrote:
Image
The incomplete table above shows a distribution of scores for a class of 25 students. If the average (arithmetic mean) score for the class is 83, what score is missing from the table?

A. 75
B. 77
C. 81
D. 84
E. 86

Attachment:
2016-08-28_2152.png



can ignore 83.

92-83 = 9 so +36
91-83 = 8 so +48

83-71 =12 so -60

total effect = 24
need to be distriubted in 3.
s0 83-8 =75
Board of Directors
User avatar
P
Joined: 17 Jul 2014
Posts: 2598
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Premium Member Reviews Badge
Re: The incomplete table above shows a distribution of scores fo  [#permalink]

Show Tags

New post 23 Oct 2016, 10:31
Asifpirlo wrote:
Attachment:
incomplete.png
The incomplete table above shows a distribution of scores for a class of 25 students. If the average (arithmetic mean) score for the class is 83, what score is missing from the table?

A. 75
B. 77
C. 81
D. 84
E. 86


I tried to avoid working through big chunks of numbers, and wanted to find the last digit of the numbers only...
25*83 - smth smth in the end 5. good.
now
92*4 - smth smth end is 8.
91*6 - smth smth end is 6.
83*7 - smth smth end is 1.
71*5 - smth smth end is 5.
so, last digit of the sum of these numbers is 8+6+1+5 = zero.
smth smth 5 - smth smth 0 = smth smth 5.
since we need an integer number, and since the smth smth 5 number would be divided by 3, it is logically to assume that the last digit would be 5 as well...

only A works...
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4351
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member CAT Tests
Re: The incomplete table above shows a distribution of scores for a class  [#permalink]

Show Tags

New post 15 Nov 2017, 07:24
Bunuel wrote:
Image
The incomplete table above shows a distribution of scores for a class of 25 students. If the average (arithmetic mean) score for the class is 83, what score is missing from the table?

A. 75
B. 77
C. 81
D. 84
E. 86

Attachment:
2016-08-28_2152.png

\(\frac{(92*4)+(91*6)+(x*3)+(83*7)+(71*5)}{25} = 83\)

Or, \(368 + 546 +3x + 581 + 355 = 2075\)

Or, \(3x = 225\)

Or, \(x = 75\), answer will be (A) 75
_________________

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 )

Intern
Intern
avatar
S
Joined: 30 Sep 2017
Posts: 38
Location: India
Concentration: Entrepreneurship, General Management
Schools: IIM Udaipur '17
GMAT 1: 700 Q50 V37
GPA: 3.7
WE: Engineering (Energy and Utilities)
GMAT ToolKit User
Re: The incomplete table above shows a distribution of scores for a class  [#permalink]

Show Tags

New post 28 Nov 2017, 05:58
1
Hi
I have a different approach to this question, Please confirm that this approach is right. See attachment.

Abhishek009 wrote:
Bunuel wrote:
Image
The incomplete table above shows a distribution of scores for a class of 25 students. If the average (arithmetic mean) score for the class is 83, what score is missing from the table?

A. 75
B. 77
C. 81
D. 84
E. 86

Attachment:
The attachment 2016-08-28_2152.png is no longer available

\(\frac{(92*4)+(91*6)+(x*3)+(83*7)+(71*5)}{25} = 83\)

Or, \(368 + 546 +3x + 581 + 355 = 2075\)

Or, \(3x = 225\)

Or, \(x = 75\), answer will be (A) 75

Attachments

24169342_10156971885658289_370232763_o.jpg
24169342_10156971885658289_370232763_o.jpg [ 115.35 KiB | Viewed 856 times ]

Intern
Intern
avatar
Joined: 30 Sep 2017
Posts: 10
Re: The incomplete table above shows a distribution of scores for a class  [#permalink]

Show Tags

New post 28 Nov 2017, 07:36
(1850+3x)/25=83
x=75

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4600
Location: United States (CA)
Re: The incomplete table above shows a distribution of scores for a class  [#permalink]

Show Tags

New post 29 Nov 2017, 17:06
Bunuel wrote:
Image
The incomplete table above shows a distribution of scores for a class of 25 students. If the average (arithmetic mean) score for the class is 83, what score is missing from the table?

A. 75
B. 77
C. 81
D. 84
E. 86

Attachment:
2016-08-28_2152.png


We are given that the average (arithmetic mean) score for the class is 83. Since we are given the average, we can find the difference between the average and each score and multiply their respective frequencies, and the sum of these products should be 0. That is, if we let n = the missing score, we can create the following equation:

(92 - 83) x 4 + (91 - 83) x 6 + (n - 83) x 3 + (83 - 83) x 7 + (71 - 83) x 5 = 0

36 + 48 + 3n - 249 + 0 - 60 = 0

3n - 225 = 0

3n = 225

n = 75

Alternate Solution:

We can calculate a weighted mean for the 25 scores, using the formula average = sum/number:

83 = [4(92) + 6(91) + 3x + 7(83) + 5(71)]/25

2075 = 368 + 546 + 3x + 581 +355

2075 = 1850 + 3x

225 = 3x

75 = x

Answer: A
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9464
Premium Member
Re: The incomplete table above shows a distribution of scores fo  [#permalink]

Show Tags

New post 30 Dec 2018, 09:00
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: The incomplete table above shows a distribution of scores fo &nbs [#permalink] 30 Dec 2018, 09:00
Display posts from previous: Sort by

The incomplete table above shows a distribution of scores fo

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.