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

It is currently 19 Aug 2018, 03:11

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

When 9 students took a zoology quiz with a possible score of 0 to 10,

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47983
When 9 students took a zoology quiz with a possible score of 0 to 10,  [#permalink]

Show Tags

New post 15 Jul 2018, 08:37
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

88% (00:55) correct 13% (00:49) wrong based on 32 sessions

HideShow timer Statistics

When 9 students took a zoology quiz with a possible score of 0 to 10, inclusive, there average (arithmetic mean) score was 7.5. If a tenth student takes the same quiz, what will be the least possible average score on the quiz for all 10 students?

A. 6.5
B. 6.75
C. 7.0
D. 7.25
E. 7.5

_________________

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
G
Joined: 30 Jan 2015
Posts: 525
Location: India
Concentration: Operations, Marketing
GPA: 3.5
CAT Tests
Re: When 9 students took a zoology quiz with a possible score of 0 to 10,  [#permalink]

Show Tags

New post 15 Jul 2018, 10:27
+1 for B.

Avg of score of 9 students = 7.5
Sum of scores of 9 students = 7.5 * 9 = 67.5

To minimize the avg score of 10 students, 10th student should score the least i.e, 0

Therefore,
Sum of scores of 10 students 67.5 + 0 = 67.5
Average score of 10 students = Sum of scores of 10 students / 10
= 67.5/10
= 6.75

Hence, B.
_________________

The few, the fearless !

Thanks :-)

Senior Manager
Senior Manager
User avatar
G
Joined: 31 Oct 2013
Posts: 479
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: When 9 students took a zoology quiz with a possible score of 0 to 10,  [#permalink]

Show Tags

New post 15 Jul 2018, 10:33
Bunuel wrote:
When 9 students took a zoology quiz with a possible score of 0 to 10, inclusive, there average (arithmetic mean) score was 7.5. If a tenth student takes the same quiz, what will be the least possible average score on the quiz for all 10 students?

A. 6.5
B. 6.75
C. 7.0
D. 7.25
E. 7.5



Total score of 9 students = 7.5 *9 = 67.5.


We are asked to find out the least average score of 10 students.

Assume no. 10 students score 0.

Total of 10 students score = 67.5 + 0 =67.5

Average score of 10 students = 67.5 /10
= 6.75


Option B is the answer.
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3786
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: When 9 students took a zoology quiz with a possible score of 0 to 10,  [#permalink]

Show Tags

New post 16 Jul 2018, 09:16
Bunuel wrote:
When 9 students took a zoology quiz with a possible score of 0 to 10, inclusive, there average (arithmetic mean) score was 7.5. If a tenth student takes the same quiz, what will be the least possible average score on the quiz for all 10 students?

A. 6.5
B. 6.75
C. 7.0
D. 7.25
E. 7.5


\(= \frac{7.50*9 + 0}{10}\)

\(= 6.75\), Answer must be (B)
_________________

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 )

Senior Manager
Senior Manager
User avatar
G
Joined: 14 Dec 2017
Posts: 453
Re: When 9 students took a zoology quiz with a possible score of 0 to 10,  [#permalink]

Show Tags

New post 16 Jul 2018, 10:43
Bunuel wrote:
When 9 students took a zoology quiz with a possible score of 0 to 10, inclusive, there average (arithmetic mean) score was 7.5. If a tenth student takes the same quiz, what will be the least possible average score on the quiz for all 10 students?

A. 6.5
B. 6.75
C. 7.0
D. 7.25
E. 7.5



Sum of scores of 9 students = 7.5 * 9 = 67.5

For the average to be least the 10th students has to contribute the least to the average.

Least score possible for 10th student is 0.

Hence Sum of score of 9 students + score of 10th Student = 67.5 + 0 = 67.5

Therefore least possible average score of the 10 students = 67.5/10 = 6.75


Answer B.



Thanks,
GyM
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3176
Location: United States (CA)
Re: When 9 students took a zoology quiz with a possible score of 0 to 10,  [#permalink]

Show Tags

New post 19 Jul 2018, 12:35
Bunuel wrote:
When 9 students took a zoology quiz with a possible score of 0 to 10, inclusive, there average (arithmetic mean) score was 7.5. If a tenth student takes the same quiz, what will be the least possible average score on the quiz for all 10 students?

A. 6.5
B. 6.75
C. 7.0
D. 7.25
E. 7.5


The sum for the 9 students is 9 x 7.5 = 67.5.

If the last students received a 0, the lowest possible average would be 67.5/10 = 6.75

Answer: B
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Re: When 9 students took a zoology quiz with a possible score of 0 to 10, &nbs [#permalink] 19 Jul 2018, 12:35
Display posts from previous: Sort by

When 9 students took a zoology quiz with a possible score of 0 to 10,

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

Events & Promotions

PREV
NEXT


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®.