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# At least 200 employees at a certain company play football

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Director
Joined: 31 Jul 2017
Posts: 516
Location: Malaysia
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
At least 200 employees at a certain company play football  [#permalink]

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12 Sep 2018, 01:30
00:00

Difficulty:

75% (hard)

Question Stats:

48% (02:32) correct 52% (01:36) wrong based on 24 sessions

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At least 200 employees at a certain company play football. If 5 percent of the employees at the company who play hockey also play football, do more employees at the company play hockey than football?

1) 20 employees at the company play both football and hockey

2) 15 percent of the employees at the company who play football also play hockey.

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Math Expert
Joined: 02 Aug 2009
Posts: 7752
Re: At least 200 employees at a certain company play football  [#permalink]

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12 Sep 2018, 04:55
At least 200 employees at a certain company play football. If 5 percent of the employees at the company who play hockey also play football, do more employees at the company play hockey than football?

$$F\geq{200}........0.05H=B$$

1) 20 employees at the company play both football and hockey
So 0.05H=B=20......H=400..
But F can be 300 or 500
Insufficient

2) 15 percent of the employees at the company who play football also play hockey.
0.05H=B=0.15F.......5H=15F......H=3F
So H>F
Sufficient

B
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Re: At least 200 employees at a certain company play football   [#permalink] 12 Sep 2018, 04:55
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