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

 It is currently 16 Aug 2018, 16:48

### 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

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

# Last year members of a certain professional organization for teachers

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 47946
Last year members of a certain professional organization for teachers  [#permalink]

### Show Tags

01 Aug 2018, 11:30
1
9
00:00

Difficulty:

55% (hard)

Question Stats:

68% (01:27) correct 32% (01:55) wrong based on 154 sessions

### HideShow timer Statistics

Last year members of a certain professional organization for teachers consisted of teachers from 49 different school districts, with an average (arithmetic mean) of 9.8 schools per district. Last year the average number of teachers at these schools who were members of the organization was 22. Which of the following is closest to the total number of members of the organization last year?

A. 10^7
B. 10^6
C. 10^5
D. 10^4
E. 10^3

NEW question from GMAT® Quantitative Review 2019

(PS12450)

_________________
Intern
Joined: 04 May 2014
Posts: 45
Concentration: Strategy, Operations
Re: Last year members of a certain professional organization for teachers  [#permalink]

### Show Tags

02 Aug 2018, 00:28
Bunuel wrote:
Last year members of a certain professional organization for teachers consisted of teachers from 49 different school districts, with an average (arithmetic mean) of 9.8 schools per district. Last year the average number of teachers at these schools who were members of the organization was 22. Which of the following is closest to the total number of members of the organization last year?

A. 107
B. 106
C. 105
D. 104
E. 103

NEW question from GMAT® Quantitative Review 2019

(PS12450)

Pls provide solution to this problem. I thought it to be simple average question and multiplied all the figures as
1) Total schools = Average schools per districts x Number of districts = 9.8 x 49
2) Total number of members of the organization = Average number of teachers at each schools x Total Schools = (9.8 x 49) x 22

It gave huge number.. .
Intern
Joined: 16 Jul 2018
Posts: 1
Re: Last year members of a certain professional organization for teachers  [#permalink]

### Show Tags

02 Aug 2018, 23:22
1
The number of schools do not result a whole number from the given info. Pls check the question

Posted from my mobile device
Math Expert
Joined: 02 Sep 2009
Posts: 47946
Re: Last year members of a certain professional organization for teachers  [#permalink]

### Show Tags

02 Aug 2018, 23:28
The number of schools do not result a whole number from the given info. Pls check the question

Posted from my mobile device

Exponent signs were missing. Edited. Thank you.
_________________
Manager
Joined: 31 Jul 2017
Posts: 107
Location: Tajikistan
Concentration: Finance, Economics
GMAT 1: 690 Q48 V35
GRE 1: Q164 V162
GPA: 3.85
WE: Accounting (Investment Banking)
Re: Last year members of a certain professional organization for teachers  [#permalink]

### Show Tags

02 Aug 2018, 23:35
1
We have 49 districts with average of 9.8 schools in one district, with 22 teachers from each school. So, we have 49*9.8*22=5*10*10*10*2=10^3(5*2)=10^4 (D)
Senior Manager
Status: Learning stage
Joined: 01 Oct 2017
Posts: 486
WE: Supply Chain Management (Energy and Utilities)
Re: Last year members of a certain professional organization for teachers  [#permalink]

### Show Tags

03 Aug 2018, 06:52
Bunuel wrote:
Last year members of a certain professional organization for teachers consisted of teachers from 49 different school districts, with an average (arithmetic mean) of 9.8 schools per district. Last year the average number of teachers at these schools who were members of the organization was 22. Which of the following is closest to the total number of members of the organization last year?

A. 10^7
B. 10^6
C. 10^5
D. 10^4
E. 10^3

NEW question from GMAT® Quantitative Review 2019

(PS12450)

Total no of schools=Avg. no of schools per district*Total no of districts=9.8*49
Total no of members=Avg. no. of teachers per school*Total no of schools=$$49*(9.8*22)= (\approx{50})*(\approx{10})*(\approx{20})=10^4$$

Ans. (D)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Intern
Joined: 19 Dec 2017
Posts: 2
Re: Last year members of a certain professional organization for teachers  [#permalink]

### Show Tags

07 Aug 2018, 19:50
tatz wrote:
Bunuel wrote:
Last year members of a certain professional organization for teachers consisted of teachers from 49 different school districts, with an average (arithmetic mean) of 9.8 schools per district. Last year the average number of teachers at these schools who were members of the organization was 22. Which of the following is closest to the total number of members of the organization last year?

A. 107
B. 106
C. 105
D. 104
E. 103

NEW question from GMAT® Quantitative Review 2019

(PS12450)

Pls provide solution to this problem. I thought it to be simple average question and multiplied all the figures as
1) Total schools = Average schools per districts x Number of districts = 9.8 x 49
2) Total number of members of the organization = Average number of teachers at each schools x Total Schools = (9.8 x 49) x 22

It gave huge number.. .

I solved this question by rounding it off to the nearest integer values i.e. 10*50*22. i.e. 11000 and the nearest value of 11000 is 10000 i.e. 10^4.
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3161
Location: United States (CA)
Re: Last year members of a certain professional organization for teachers  [#permalink]

### Show Tags

10 Aug 2018, 18:35
Bunuel wrote:
Last year members of a certain professional organization for teachers consisted of teachers from 49 different school districts, with an average (arithmetic mean) of 9.8 schools per district. Last year the average number of teachers at these schools who were members of the organization was 22. Which of the following is closest to the total number of members of the organization last year?

A. 10^7
B. 10^6
C. 10^5
D. 10^4
E. 10^3

Since there are 49 districts and an average of 9.8 schools per district, there are 49 x 9.8 schools in total. Furthermore, since there are on average 22 teachers per school, the total number of teachers is 49 x 9.8 x 22, which is approximately 50 x 10 x 22 = 11,000. We see that this is closest to 10^4.

_________________

Scott Woodbury-Stewart
Founder and CEO

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

Intern
Joined: 10 Apr 2018
Posts: 40
Re: Last year members of a certain professional organization for teachers  [#permalink]

### Show Tags

15 Aug 2018, 22:31
Hi,
Total number of schools in 49 Districts/ number of districts= Avg Schools Per district.
So
Total number of schools in 49 Districts / 49= 9.8,
=>total number of schools in 49 districts is 49*9.8 or 50 *10=500 { rounding 9.8 to 10 and rounding 49 to 50}

Now total number teachers in the 49 school/ total number of schools = Avg teacher per school

Total number of teachers in 49 schools= 500*22 or 500*20=10000 which is 10^4

Probus
Re: Last year members of a certain professional organization for teachers &nbs [#permalink] 15 Aug 2018, 22:31
Display posts from previous: Sort by

# Events & Promotions

 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®.