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

Question

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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ManifestDreamMBA · Answer

T = 100
N = 0
Asked: Exactly 1>= 51?

Let Ferris wheel be W, the roller coaster be R, and the Fun-hole be F

Statement 1
R+F = 15
We don't know how many students rode all 3 and the other 2 rides
Insufficient

Statement 2
W+R = 59
This means the number of students who rode exactly one can be a max of 100-59=41 (if they did not ride R+F and all 3)
This is sufficient to say that exactly 1 is NOT more than 51 students
Answer B

Gmat750aspirant · Answer

We need to determine whether more than half (i.e., more than 50) of the 100 students rode exactly one ride.

(1) Fifteen students got on both the roller coaster and the Fun-hole. 
- This tells us about students who rode two rides but gives no information about how many rode only one ride. 
- Not sufficient.

(2) Fifty-nine students got on both the Ferris wheel and the roller coaster. 
- This means at least 59 students rode both rides. 
- The maximum possible number of students who rode exactly one ride would be if none of these 59 students also rode the Fun-hole and if no other student rode more than one ride. 
- In that case, the number of students who rode exactly one ride = 100 - 59 = 41. 
- Since 41 is clearly less than 50, we can definitively answer "No" to the question. 
- This makes Statement 2 sufficient.

Conclusion 
Answer: B (Statement 2 alone is sufficient).

NextstopISB · Answer

We need to determine if more than 50 students rode exactly one ride. Let:

- F = students who rode the Ferris wheel
- R = students who rode the roller coaster
- H = students who rode the Fun-hole
- Total students = 100

We need to find the number of students who rode exactly one ride.

Statement (1): 
- 15 students rode both the roller coaster and the Fun-hole. 
- No information about students who rode only one ride. 
- INSUFFICIENT.

Statement (2): 
- 59 students rode both the Ferris wheel and the roller coaster.
- Since there are only 100 students in total, this means the remaining 41 students must have ridden exactly one ride.
- Since 41 is less than 50, fewer than half of the students rode exactly one ride.
- SUFFICIENT.

Final Answer: (B) Statement (2) alone is sufficient.

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

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GMAT Data Sufficiency (DS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards