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

 It is currently 19 Oct 2018, 23:24

### 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

# In a school that had a total of 600 students enrolled in the junior an

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50002
In a school that had a total of 600 students enrolled in the junior an  [#permalink]

### Show Tags

02 Aug 2018, 23:36
00:00

Difficulty:

45% (medium)

Question Stats:

68% (01:26) correct 32% (01:40) wrong based on 204 sessions

In a school that had a total of 600 students enrolled in the junior and senior classes, the students contributed to a certain fund. If all of the juniors but only half of the seniors contributed, was the total amount contributed more than $740 ? (1) Each junior contributed$1 and each senior who contributed gave $3. (2) There were more juniors than seniors enrolled in the school. NEW question from GMAT® Quantitative Review 2019 (DS07258) _________________ Director Status: Learning stage Joined: 01 Oct 2017 Posts: 892 WE: Supply Chain Management (Energy and Utilities) In a school that had a total of 600 students enrolled in the junior an [#permalink] ### Show Tags 03 Aug 2018, 04:07 Bunuel wrote: In a school that had a total of 600 students enrolled in the junior and senior classes, the students contributed to a certain fund. If all of the juniors but only half of the seniors contributed, was the total amount contributed more than$740 ?

(1) Each junior contributed $1 and each senior who contributed gave$3.
(2) There were more juniors than seniors enrolled in the school.

NEW question from GMAT® Quantitative Review 2019

(DS07258)

Total students,T=J+S=600
If all of the juniors but only half of the seniors contributed. Implies that all juniors contributed excluding half of the seniors.
No of contributors: Junior=J, Senior=$$\frac{S}{2}$$
Non-contributors: J=0, Senior=$$\frac{S}{2}$$

Question stem:- Was the total amount contributed more than $740 ? Or, Was J*(unit contribution fees of Juniors)+$$\frac{S}{2}$$*(unit contribution fees of Seniors)>740 ? St1:- Each junior contributed$1 and each senior who contributed gave \$3.

We have total contribution=J*1+$$\frac{S}{2}$$*3=600-S+$$\frac{S}{2}$$*3----------(1)
Since we don't have info on number of seniors or juniors , we can't determine the total contribution.
Insufficient.

St2:- There were more juniors than seniors enrolled in the school.
No information on per head contribution of Juniors and seniors.
Insufficient.

Combining, from(2) , we have J>S
we have range of S: 1<S<300 (Least #seniors=2 and highest #seniors=299)
When S=2, we have from(1),
Total contribution=600-2+$$\frac{2}{2}$$*3=598+3=601<740
When S=299, we have,
Total contribution=600-299+$$\frac{299}{2}$$*3=301+448.5=749.5>740

Insufficient.

Ans. (E)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Intern
Joined: 08 Jul 2015
Posts: 2
In a school that had a total of 600 students enrolled in the junior an  [#permalink]

### Show Tags

15 Oct 2018, 06:37
Bunuel

Hello Bunuel

Shouldn't the number of seniors max should be 298???

because 299 cannot be divided into half.....

Please let me know if my thinking is wrong.....

thank you
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 892
WE: Supply Chain Management (Energy and Utilities)
Re: In a school that had a total of 600 students enrolled in the junior an  [#permalink]

### Show Tags

15 Oct 2018, 07:01
1
hrishibasri wrote:
Bunuel

Hello Bunuel

Shouldn't the number of seniors max should be 298???

because 299 cannot be divided into half.....

Please let me know if my thinking is wrong.....

thank you

Hi hrishibasri,

You are absolutely correct in your reasoning. However, it doesn't alter the final answer.
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Intern
Joined: 08 Jul 2015
Posts: 2
Re: In a school that had a total of 600 students enrolled in the junior an  [#permalink]

### Show Tags

15 Oct 2018, 07:07
PKN

thank you for the clarification
Re: In a school that had a total of 600 students enrolled in the junior an &nbs [#permalink] 15 Oct 2018, 07:07
Display posts from previous: Sort by

# In a school that had a total of 600 students enrolled in the junior an

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

 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®.