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# If all of the 100 students that attended the fair rode the Ferris whee

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Math Expert
Joined: 02 Sep 2009
Posts: 50000
If all of the 100 students that attended the fair rode the Ferris whee  [#permalink]

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27 Mar 2017, 04:36
1
1
00:00

Difficulty:

45% (medium)

Question Stats:

65% (01:37) correct 35% (01:27) wrong based on 48 sessions

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If all of the 100 students that attended the fair rode the Ferris wheel, the roller coaster, or the Fun-hole, did more than half of the students get on exactly one ride?

(1) Fifteen students got on both the roller-coaster and the Fun-hole.
(2) Fifty-nine students got on both the Ferris wheel and the roller coaster.

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Joined: 24 Apr 2016
Posts: 333
Re: If all of the 100 students that attended the fair rode the Ferris whee  [#permalink]

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27 Mar 2017, 11:07
Based on the information given in the question stem, here is what we can note down

A+B+C+D+E+F+G = 100

Question Stem asks us, whether A+B+C > 50 or D+E+F+G < 50

Statement 1: (1) Fifteen students got on both the roller-coaster and the Fun-hole.

F = 15. As we do not have much information, this statement is not sufficient.

Statement 2: (2) Fifty-nine students got on both the Ferris wheel and the roller coaster.

E = 59

This means, that D+E+F+G is at least 59, Therefore D+E+F+G is not less than 50. This statement is sufficient.

Answer is B
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Manager
Joined: 23 Jul 2015
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Re: If all of the 100 students that attended the fair rode the Ferris whee  [#permalink]

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27 Mar 2017, 11:19
Bunuel wrote:
If all of the 100 students that attended the fair rode the Ferris wheel, the roller coaster, or the Fun-hole, did more than half of the students get on exactly one ride?

(1) Fifteen students got on both the roller-coaster and the Fun-hole.
(2) Fifty-nine students got on both the Ferris wheel and the roller coaster.

1 is clearly insufficient
2. If 59 out of 100 got on 2 rides, then less than half got on exactly one ride. Hence, this statement is sufficient.

Ans. B
Senior Manager
Joined: 06 Dec 2016
Posts: 250
Re: If all of the 100 students that attended the fair rode the Ferris whee  [#permalink]

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27 Mar 2017, 19:39
If all of the 100 students that attended the fair rode the Ferris wheel, the roller coaster, or the Fun-hole, did more than half of the students get on exactly one ride?

(1) Fifteen students got on both the roller-coaster and the Fun-hole.
(2) Fifty-nine students got on both the Ferris wheel and the roller coaster.

1) 1 is insufficient. We need more information to find out more than half of the students get on exactly one ride.

2) 2 is sufficient since we can say, yes, more than half of the students got on exactly one ride

Answer is B
Re: If all of the 100 students that attended the fair rode the Ferris whee &nbs [#permalink] 27 Mar 2017, 19:39
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# If all of the 100 students that attended the fair rode the Ferris whee

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