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Rahul, Samuel, Tony, Uday, and Xavier met for a reunion, 15 years after graduating. During the reunion, they observed that only Rahul and Tony had gained significant weight, while the other three had remained lean. To celebrate, they are considering going on a popular swing ride in town.
Due to combined space and weight constraints, the swing could accommodate a maximum of three people, with no more than one person of heavy build.
The friends had the following personal conditions for going on the swing:
• Uday would ride only if Xavier also rides.
• Xavier would not ride if Tony is on the same ride.
• Samuel would ride only if he would be one of exactly three people riding.
If exactly two of the five friends were to go on the swing ride, and all constraints were met, select Yes if a pair could have gone together. Otherwise, select No.
If exactly two of the five friends were to go on the swing ride, and all constraints were met, select Yes if a pair could have gone together. Otherwise, select No.
Yes
No
Tony and Rahul
Tony and Uday
Rahul and Xavier
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• Tony and Rahul — No. Both are heavy, but the swing allows at most one heavy person.
• Tony and Uday — No. If Tony is on the ride, Xavier cannot ride. Without Xavier, Uday cannot ride.
• Rahul and Xavier — Yes. Rahul is heavy, Xavier is lean. No conditions are violated.