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"Room" Riddles - Final 9 of 149

Riddle: Which is the largest room in the world?
Answer: The room for improvement.
Riddle: How can you clasp someone's hands together in such a manner that they cannot leave the room without unclasping them?
Answer: Put their hands around a stationary object in the room, which will keep them from leaving the room unless they open their hands.
Riddle: A soccer fan, upset by the defeat of his favorite team, slept restlessly. In his dream a goalkeeper was practicing in a large unfurnished room, tossing a soccer ball against the wall and then catching it. But the goalkeeper grew smaller and smaller and then changed into a ping-pong ball while the soccer ball was swelled up into a huge cast-iron ball. The iron ball circled round madly, trying to crush the ping-pong ball, how did the ping-pong find safety whithout leaving the floor?
Answer: If the ping-pong ball rolls flush against the wall, the cast-iron ball cannot crush it. Those who know geometry can determine that if the diameter of a large ball is at least 5.83 (3+2(square root of 2) times as large as the diameter of a little ball, then the little ball will be safe if it hugs the wall. A cast-iron ball that is larger than a soccer ball is more than 4.83 times as large in diameter as a ping-pong ball.
Riddle: How many cats are in a small room if in each of the four corners a cat is sitting, and opposite each cat there sit three cats, and a each cat's tail another is sitting?
Answer: Four cats, each near a tail of a cat in an adjacent corner.
Riddle: There are 100 light bulbs lined up in a row in a long room. Each bulb has its own switch and is currently switched off. The room has an entry door and an exit door. There are 100 people lined up outside the entry door. Each bulb is numbered consecutively from 1 to 100. So is each person. Person No. 1 enters the room, switches on every bulb, and exits. Person No. 2 enters and flips the switch on every second bulb (turning off bulbs 2, 4, 6, ...). Person No. 3 enters and flips the switch on every third bulb (changing the state on bulbs 3, 6, 9, ...). This continues until all 100 people have passed through the room. What is the final state of bulb No. 64? And how many of the light bulbs are illuminated after the 100th person has passed through the room?
Answer: First think who will operate each bulb, obviously person #2 will do all the even numbers, and say person #10 will operate all the bulbs that end in a zero. So who would operate for example bulb 48: Persons numbered: 1 & 48, 2 & 24, 3 & 16, 4 & 12, 6 & 8 ........ That is all the factors (numbers by which 48 is divisible) will be in pairs. This means that for every person who switches a bulb on there will be someone to switch it off. This willl result in the bulb being back at it's original state. So why aren't all the bulbs off? Think of bulb 36:- The factors are: 1 & 36, 2 & 13, 6 & 6 Well in this case whilst all the factors are in pairs the number 6 is paired with it's self. Clearly the sixth person will only flick the bulb once and so the pairs don't cancel. This is true of all the square numbers. There are 10 square numbers between 1 and 100 (1, 4, 9, 16, 25, 36, 49, 64, 81 & 100) hence 10 bulbs remain on.
Riddle: A man goes to work at the same time each day and travels part of his journey facing forwards and the remainder facing backwards. When he returns at the end of his working day, he only faces forwards. How can this be?
Answer: He works in the engine room of a liner! To get to work, he walks along the decks from his cabin facing forwards, and down the ladders between decks facing backwards.  However, when he finishes, he only needs to face forwards to climb the ladders again and walk along the deck back to his cabin.
Riddle: You are in a room with one chair in the center of the room. The room is to small to lie down in or stand up in. The walls are covered in markings left by desperate men. You will have rats for company, and one window so that you can see the world that has passed you by. How can you survive only one month? Explain.
Answer: You can't. Because You don't have any food. You would go insane before one month is up. The room wouldn't provide enough oxygen for you and the rats to survive.
Riddle: You are in a room that is completely bricked in on all four sides, including the ceiling and floor. You have nothing but a mirror and a wooden table in the room with you. How do you get out?
Answer: You look in the mirror you see what you saw, you take the saw and you cut the table in half, two halves make a whole, and you climb out the hole.
Riddle: If you're in a room with no windows, no doors, and everything made of cement. In the room is a mirror and a table. How do you get out?
Answer: Look in the mirror to see what you saw. Take the saw the table in half.  Use the two halves to make a whole.  Then, crawl through the hole to get out.