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

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

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02 Aug 2018, 23:36
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Difficulty:

45% (medium)

Question Stats:

67% (01:42) correct 33% (01:25) wrong based on 49 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: 504 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

In a school that had a total of 600 students enrolled in the junior an &nbs [#permalink] 03 Aug 2018, 04:07
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