Quiz Answer Key and Fun Facts
1. You receive a mysterious letter saying "Go to 1001101 Knockton Road at 6pm tomorrow. Come alone." The first number looks like a binary number.
What number is equal to the binary number 1001101?
2. You follow the directions from the letter and come to a Victorian mansion. You walk through the gate and ring the doorbell at the house. Almost immediately, an old man opens the door and tells you to come in. "But first find x in the following equation: 6x + 12 = 4 (x + 9)."
3. The man lets you in. He leads you to a room that is empty apart from a table. On it are 4 identical buttons and some writing - "I toss a fair coin 3 times. What is the probability that it will land on tails 3 times? If you think 1/4, press the button on the far left. If you think 1/8, press the button second from the left. If you think 1/12, press the button second from the right. If you think 1/16, press the button on the far right."
4. "Before we continue, I must ask you a question - which of the following numbers is a Fibonacci prime? 89, 101, 223 and 377." the man says. So what is the answer?
5. The man goes over to one section of the wall, and pulls something, revealing a hidden door. He walks through the door, and you follow. He turns around, and you can see the grin on his face. He walks out of the door, and you hear it slam shut. You pull on the doorknob, but it is locked.
Instead of trying to get the door open (since you know that won't work), you try and find another way to escape. After a few minutes of looking around, you lift the rug off the carpet and discover a trapdoor, but it is locked. After some more exploring, you find 4 keys, all of which look identical.
You don't know which one to use. Then you spot some very small writing on the trapdoor. It says "the key you should use is the odd one out". You look carefully at each key, and see tiny writing on each one. The first says "1/8", the second "0.125", on the third is written "8^-1" (8 to the power of -1) and the last reads "8^1/2" (8 to the power of one half).
Which one is the "odd one out"?
6. The trapdoor has opened! You see a ladder, and carefully climb down. You crawl along the narrow passageway and come to a crossroad. There are 4 options - You can go ahead, climb up a ladder (it leads to another passageway) or you can turn left or turn right.
You stop a minute and think. You look around to see if you've missed anything. You have - there is a piece of paper on the floor. You pick it up and can just about see the writing in the darkness.
"I roll 2 fair, 6-sided dice. How probable is it that one die will land on 3, and the other will land on 6 (the order does not matter)?
If you think 1/9, go forwards. If you think 1/18, go up. If you think 1/36, go left. If you think 1/72, go right."
7. After a while, you become confident that you have chosen the right path. You reach a sign saying "Exit - 1/2 mile". If you are crawling at a speed of 6 miles per hour, how long will it take you to reach the exit?
8. After a while, you see light coming from the end of the passage. You reach the end and climb out! You are in the garden and can see the gate you came into the mansion through. A lady comes up to you. "We need to talk, but first climb back into the passage you came from so we can talk safely." You walk back into the passageway, despite your concerns that you can't trust the lady.
Once you are both in the passageway, she starts talking again. "You need to escape this place. The exit is at the bottom of the garden. It should take you about 4 minutes to get there from here. But there's a catch. The guards and dogs alternate, patrolling the house then the garden, then the house again and so on. The dogs patrol the house for 10 minutes, then the garden for 5 minutes. The guards patrol the house for 7 minutes, then the garden for 15 minutes. You don't want to be in the garden when either of those is there. This started at precisely 5am and will continue until 10pm. The current time is exactly 6pm."
So when is your first opportunity to climb out the garden and make your escape?
9. You get to the gate, but there is a guard there, waiting...
"I think you had better come with me," he says. You kick him and run away.
Just when you think you are safe, you see a group of 10 men coming towards you. Each one is armed with a knife. You run faster, but come to a dead end.
The wall ahead of you has some rather strange graffiti written on it. "THE HEIGHT OF THIS WALL IS THE SUM OF: TRIPLE 18CM, FOUR TIMES 19CM AND FIVE TIMES 20CM."
There's no bad time for math problems - how high is the wall?
10. Footholds were placed on the wall, although you can't think why. But it is lucky they were placed there - you never have been good at climbing.
Once you are over the wall, you manage to shake them off. You go to the police and tell them something strange is going on in that mansion. They ask you a question - "What is the lowest perfect number?"
Source: Author
AdamM7
This quiz was reviewed by FunTrivia editor
WesleyCrusher before going online.
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