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23 Apr 2020, 13:42
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Difficulty:
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Question Stats:
59% (02:29) correct
41%
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wrong
based on 73
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At a certain company, the bonus pool is divided among a group of employees consisting entirely of engineers and managers so that each engineer receives a bonus of e dollars and each manager receives a bonus of m dollars. Is m at least 20% greater than e?
(1) At least 20% of the employees in the group are managers.
(2) The total amount awarded to managers is at least 20 % greater than the total amount awarded to engineers.
(1) At least 20% of the employees in the group are managers.
(2) The total amount awarded to managers is at least 20 % greater than the total amount awarded to engineers.
Archived Topic
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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24 Apr 2020, 00:24
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At a certain company, the bonus pool is divided among a group of employees consisting entirely of engineers and managers so that each engineer receives a bonus of e dollars and each manager receives a bonus of m dollars. Is m at least 20% greater than e?
Let the number of engineers and managers be x and y.
We are looking for is \(m\geq{1.2e}\)
(1) At least 20% of the employees in the group are managers.
\(m\geq{20}\), so m can be 99% or 21%, but nothing that helps in answering the question.
Insuff
(2) The total amount awarded to managers is at least 20 % greater than the total amount awarded to engineers.
so \(y*m\geq{1.2*x*e}\), but can we say anything about \( m\geq{1.2e}\)..NO
Say y=60 and m=30.....\(y*m\geq{1.2*x*}\).....\(60*m\geq{1.2*30*e}.......[m]m\geq{0.6*x}\)[/m]
Thus m can be 0.7e and also 2e
Insuff
Combined..
Nothing new. Say y=60 and m=30.....\(y*m\geq{1.2*x*}\).....\(60*m\geq{1.2*30*e}.......[m]m\geq{0.6*x}\)[/m]
Thus m can be 0.7e and also 2e
Insuff
E
Let the number of engineers and managers be x and y.
We are looking for is \(m\geq{1.2e}\)
(1) At least 20% of the employees in the group are managers.
\(m\geq{20}\), so m can be 99% or 21%, but nothing that helps in answering the question.
Insuff
(2) The total amount awarded to managers is at least 20 % greater than the total amount awarded to engineers.
so \(y*m\geq{1.2*x*e}\), but can we say anything about \( m\geq{1.2e}\)..NO
Say y=60 and m=30.....\(y*m\geq{1.2*x*}\).....\(60*m\geq{1.2*30*e}.......[m]m\geq{0.6*x}\)[/m]
Thus m can be 0.7e and also 2e
Insuff
Combined..
Nothing new. Say y=60 and m=30.....\(y*m\geq{1.2*x*}\).....\(60*m\geq{1.2*30*e}.......[m]m\geq{0.6*x}\)[/m]
Thus m can be 0.7e and also 2e
Insuff
E
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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