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There is no missing dollar; the $27 includes the $2 kept by the bellboy.
The missing dollar was kept by the hotel manager.
The friends lost the missing dollar on their way back.
There is no missing dollar. The mistake lies in the way the total is calculated. The $27 already includes the $2 that the bellboy took. So, $25 went to the hotel, and $2 went to the bellboy.
Three friends check into a hotel room that costs $30. They each contribute $10 and pay the bill. Later, the hotel realizes they made a mistake and the room only costs $25. The bellboy is sent to return $5 to the friends. Unsure how to split the $5, the bellboy decides to give each friend $1 and keep $2 as a tip. Now, each friend has paid $9 (totaling $27), and the bellboy kept $2, which sums up to $29. Where is the missing dollar?
Show Answer
There is no missing dollar. The mistake lies in the way the total is calculated. The $27 already includes the $2 that the bellboy took. So, $25 went to the hotel, and $2 went to the bellboy.
In a town, there is a barber who shaves everyone who does not shave themselves, but he does not shave those who do shave themselves. Does the barber shave himself?
Show Answer
This is a paradox. If the barber shaves himself, then he must not shave himself (because he shaves only those who don’t shave themselves). If he does not shave himself, then he must shave himself (because he shaves everyone who doesn’t shave themselves). The situation is logically impossible.
You are in a room with three light switches. Each switch controls one of the three light bulbs in the next room. You can flip the switches as many times as you like, but you can only go into the next room once. How do you determine which switch controls which bulb?
Show Answer
Turn on the first switch and leave it on for a few minutes.
2. Turn it off and immediately turn on the second switch.
3. Go into the next room:
- The bulb that is on is controlled by the second switch.
- The bulb that is warm but off is controlled by the first switch.
- The bulb that is cold and off is controlled by the third switch.
You have three switches outside a room. Each switch controls one of the three bulbs inside the room. All the switches are in the "off" position, and you can't see the bulbs from the outside. How can you figure out which switch controls which bulb if you can only enter the room once?
Show Answer
1. Turn on the first switch and leave it on for a few minutes.
2. Turn it off and immediately turn on the second switch.
3. Enter the room:
- The bulb that is on is controlled by the second switch.
- The bulb that is warm but off is controlled by the first switch.
- The bulb that is cold and off is controlled by the third switch.
You have a fox, a chicken, and a sack of grain. You need to get all three across a river using a boat that can only carry one at a time. If you leave the fox with the chicken, the fox will eat the chicken. If you leave the chicken with the grain, the chicken will eat the grain. How can you get all three across the river safely?
Show Answer
1. Take the chicken across the river.
2. Go back and take the fox across the river.
3. Take the chicken back to the original side.
4. Take the grain across the river.
5. Finally, go back and bring the chicken across.