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# QOTD#19 A group of freshmen, juniors, and seniors are going

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Joined: 07 Jun 2014
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QOTD#19 A group of freshmen, juniors, and seniors are going [#permalink]  03 Apr 2017, 03:40
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Question Stats:

33% (01:58) correct 66% (01:39) wrong based on 15 sessions
A group of freshmen, juniors, and seniors are going on a school trip. The number of seniors is 60% of the number of juniors, which is 50% of the number of freshmen. If there are at least 150 students on the trip, then which of the following could be the number of seniors?

Indicate all possible values.

A. 21
B. 22
C. 24
D. 25
E. 27

C, E

Drill 3
Question: 10
Page: 320
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 112

Kudos [?]: 1860 [1] , given: 397

Re: QOTD#19 A group of freshmen, juniors, and seniors are going [#permalink]  17 Apr 2017, 09:35
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Explanation

To solve this question, plug in the answers as the number of seniors to see if the rest of the class adds up to 150.

Start with choice C. If S = 24, then $$\frac{60}{100}$$ and J = 40; since 40 = 50% of F, then F = 80; since the sum of the students is 24 + 40 + 80 = 144, which is less than 150, try larger numbers and eliminate choices (A), (B), and (C).

For choice D, if S = 25, then $$25 = J \times \frac{60}{100}$$, thus there are 41.67 juniors, which is incorrect since it is impossible to have a fraction of a student.

For choice (E), if S = 27, then $$J \times \frac{60}{100}$$, thus J = 45; since 45 = 50% of F, then F = 90; since 27 + 45 + 90 = 162, which is at least 160, choice (E) is the only correct answer.

Hence option E is correct!
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Sandy
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Joined: 14 Dec 2016
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Re: QOTD#19 A group of freshmen, juniors, and seniors are going [#permalink]  15 May 2017, 11:39
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C is wrong
Intern
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Re: QOTD#19 A group of freshmen, juniors, and seniors are going [#permalink]  16 Jun 2018, 08:00
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Hi, C would be wrong because the sum is 144 which is less than 150. Please confirm.
Thanks
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 112

Kudos [?]: 1860 [1] , given: 397

Re: QOTD#19 A group of freshmen, juniors, and seniors are going [#permalink]  17 Jun 2018, 02:38
1
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Expert's post
Kahani98 wrote:
Hi, C would be wrong because the sum is 144 which is less than 150. Please confirm.
Thanks

You are correct, C is not a correct option.

Fixed, thanks!
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Sandy
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Re: QOTD#19 A group of freshmen, juniors, and seniors are going   [#permalink] 17 Jun 2018, 02:38
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