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# A college admissions committee must select candidates for a certain pr

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Math Expert
Joined: 02 Sep 2009
Posts: 58334
A college admissions committee must select candidates for a certain pr  [#permalink]

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27 Feb 2019, 23:28
00:00

Difficulty:

45% (medium)

Question Stats:

63% (02:57) correct 37% (03:23) wrong based on 19 sessions

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A college admissions committee must select candidates for a certain program from among high school applicants and transfer applicants. The committee has already chosen 132 female candidates in a 3 to 1 ratio of high school students to transfer students, and will maintain this ratio in the selection of male candidates. If the final class size must be between 325 and 350 students, then which of the following is an acceptable number of male high school applicants for the committee to choose?

I. 156
II. 162
III. 168

A. I only
B. I and II only
C. II and III only
D. I and III only
E. I, II, and III

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Re: A college admissions committee must select candidates for a certain pr  [#permalink]

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28 Feb 2019, 05:20
Bunuel wrote:
A college admissions committee must select candidates for a certain program from among high school applicants and transfer applicants. The committee has already chosen 132 female candidates in a 3 to 1 ratio of high school students to transfer students, and will maintain this ratio in the selection of male candidates. If the final class size must be between 325 and 350 students, then which of the following is an acceptable number of male high school applicants for the committee to choose?

I. 156
II. 162
III. 168

A. I only
B. I and II only
C. II and III only
D. I and III only
E. I, II, and III

total female candidates = 132 ; 3:1
class size 325 to 350
so range of males students can be 325-132 ; 193 and 350-132 ; 218
193 to 218 is our range
given ratio of male ratio is 3:1
divide given answer options by 3
156/3 ; 52 +156 = 208 OK
162/3 ; 54 + 162 = 216 ok
168/3 ; 56+168=224 out of range of 193 - 218

options 1 & 2 are correct
IMO B
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Re: A college admissions committee must select candidates for a certain pr   [#permalink] 28 Feb 2019, 05:20
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