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At least 3/4 of the 50 players on a sports team must receive an award

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At least 3/4 of the 50 players on a sports team must receive an award [#permalink]

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New post 15 Apr 2017, 22:57
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At least 3/4 of the 50 players on a sports team must receive an award individually from the state in order for the team as a whole to receive an award from the state. What is the greatest number of team members that could fail to receive an award individually from the state, if the team as a whole receives an award from the state?

A. 15
B. 14
C. 13
D. 12
E. 11

Source: GMAT Free
[Reveal] Spoiler: OA

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How to solve quadratic equations - Factor quadratic equations
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Re: At least 3/4 of the 50 players on a sports team must receive an award [#permalink]

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New post 16 Apr 2017, 03:34
nguyendinhtuong wrote:
At least 3/4 of the 50 players on a sports team must receive an award individually from the state in order for the team as a whole to receive an award from the state. What is the greatest number of team members that could fail to receive an award individually from the state, if the team as a whole receives an award from the state?

A. 15
B. 14
C. 13
D. 12
E. 11

Source: GMAT Free



Hi,

ONLY imp point is to take the decimal point to next integer..
Here we are talking of ATLEAST3/4, thus the next integer should be part of 3/4


3/4 of 50 is \(50*\frac{3}{4}=37.5~38\)
Next INTEGER after 37.5 is 38, so 38 should win individual award for the group to win award.

Therefore, max not receiving award individually but group still winning award is 50-38=12

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Re: At least 3/4 of the 50 players on a sports team must receive an award [#permalink]

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New post 16 Apr 2017, 10:57
Considering the scenario for not receiving would be 1/4th(as 3/4th of team members must receive an award)
\(\frac{1}{4}\)*(50) = 12.5
Greatest # should be rounded to the one below 12.5 so answer is 12
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Re: At least 3/4 of the 50 players on a sports team must receive an award [#permalink]

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New post 17 Apr 2017, 11:31
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Hi All,

This is a "lift" of a question from the Official Guide:

OG13/GMAT2015 pg. 162, #76
GMAT2016 pg. 166, #95
GMAT2017 pg. 165, #107

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Re: At least 3/4 of the 50 players on a sports team must receive an award   [#permalink] 17 Apr 2017, 11:31
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