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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
A. 15
B. 14
C. 13
D. 12
E. 11
Source: GMAT Free
16 Apr 2017, 03:34
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nguyendinhtuong
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
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
D
16 Apr 2017, 10:57
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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
\(\frac{1}{4}\)*(50) = 12.5
Greatest # should be rounded to the one below 12.5 so answer is 12
