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GRE Prep Club Team Member
Joined: 20 Feb 2017
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Company ABC consists of managers, analysts, and trainees. The ratio of
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04 Jan 2023, 10:22
04 Jan 2023, 10:22
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Company ABC consists of managers, analysts, and trainees. The ratio of managers to analysts is 4:7, and the ratio of analysts to trainees is 1:2. If managers, analysts, and trainees are the only employees in Company ABC, and the total number of employees in Company ABC is more than 500, which of the following could be the number of employees in Company ABC?
I) 840
II) 975
III) 1120
A) I only
B) II only
C) III only
D) I and III only
E) I, II, and III
I) 840
II) 975
III) 1120
A) I only
B) II only
C) III only
D) I and III only
E) I, II, and III
Re: Company ABC consists of managers, analysts, and trainees. The ratio of
[#permalink]
05 Jan 2023, 02:20
05 Jan 2023, 02:20
Expert Reply
Here, Managers = M, Analysts = A and Trainees = T
Using ratio given: M: A = 4: 7 => M = 4/7A
Similarly, A:T = 1: 2 => T = 2A
Since, company has only Managers(M), Analysts(A) and Trainees(T), total employees would be = M + A+ T
Putting all in terms of analysts here, Total employees = 4/7A + A + 2A =25A/7
So, analysts would be => A = 7/25(Total employees)
We know A has to be a positive integer since it's number of employees, plugging values
I) 7/25*840 = non-integer
2) 7/25*975 = 273
3) 7/25*1120 = non-integer.
Since, only second option yields a positive integer, Hence, answer should be (B)
Using ratio given: M: A = 4: 7 => M = 4/7A
Similarly, A:T = 1: 2 => T = 2A
Since, company has only Managers(M), Analysts(A) and Trainees(T), total employees would be = M + A+ T
Putting all in terms of analysts here, Total employees = 4/7A + A + 2A =25A/7
So, analysts would be => A = 7/25(Total employees)
We know A has to be a positive integer since it's number of employees, plugging values
I) 7/25*840 = non-integer
2) 7/25*975 = 273
3) 7/25*1120 = non-integer.
Since, only second option yields a positive integer, Hence, answer should be (B)
gmatclubot
Re: Company ABC consists of managers, analysts, and trainees. The ratio of [#permalink]
05 Jan 2023, 02:20
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