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

 It is currently 22 May 2019, 03:56

### 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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55228
In a school that had a total of 600 students enrolled in the junior an  [#permalink]

### Show Tags

02 Aug 2018, 23:36
14
00:00

Difficulty:

35% (medium)

Question Stats:

68% (01:48) correct 32% (01:53) wrong based on 479 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) _________________ VP Status: Learning stage Joined: 01 Oct 2017 Posts: 1008 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 VP Status: Learning stage Joined: 01 Oct 2017 Posts: 1008 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 Manager Joined: 28 Jun 2018 Posts: 134 Location: Bouvet Island GMAT 1: 490 Q39 V18 GMAT 2: 640 Q47 V30 GMAT 3: 670 Q50 V31 GMAT 4: 700 Q49 V36 GPA: 4 Re: In a school that had a total of 600 students enrolled in the junior an [#permalink] ### Show Tags 20 Oct 2018, 04:16 In DS questions always try to have an idea of the Maximum or Minimum (range of) values that are possible - 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 contributed gave$3.
(2) There were more juniors than seniors enrolled in the school.

(1) Each junior contributed $1 and each senior contributed gave$3.

For Max contribution -
We should assume most students to be seniors and least students to be juniors.
So we have 598 seniors and 2 juniors.
Senior contribution (598/2) * 3 = some value above 740 for sure. So dont even bother calculating more.

For Minimum contribution-
Lets assume 2 seniors and 598 juniors.
Obviously some value less than 700.
So we can have values less than 740 or more than 740.. SO INSUFFICIENT

(2) There were more juniors than seniors enrolled in the school.
Clearly INSUFFICIENT.

Combining BOTH (A) and (B) -
Again similar to what we did above.

For Max contribution -
Seniors 298 and juniors 302
So total = (298/2 * 3) + 302 = 740+ for sure. (749)

For Minimum contribution-
Juniors = 598
Seniors = 2
Dont even waste time calculating because we know its less than 740 obviously.
So we can have values less than 740 or more than 740.. SO INSUFFICIENT

Hence, OPTION E.
I have taken Senior students number as even number because it says half of them contributed. So we cannot take 1 student. How can we cut the poor senior in half

See how simple it gets when u focus on the range.
Hope it helps.
Re: In a school that had a total of 600 students enrolled in the junior an   [#permalink] 20 Oct 2018, 04:16
Display posts from previous: Sort by