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This was Gollum's final riddle from The Hobbit:
"This thing all things devours;
Bird, beasts, trees, flowers;
Gnaws iron, bites steel;
Grinds hard stones to meal;
Slay king, ruins town,
and beats a mountain down."
A car thief, who had managed to evade the authorities in the past, unknowingly took the automobile that belonged to Detective Anderson. The detective wasted no time and spared no effort in discovering and carefully examining the available clues. He was able to identify four suspects with certainty that one of them was the culprit.
The four make the statements below. From twelve of total statements, six are true and six false.
1. C and I have met many times before today.
2. B is guilty.
3. The car thief did not know it was the Detective's car.
1. D did not do it.
2. D's third statement is false.
3. I am innocent.
1. I have never met A before today.
2. B is not guilty.
3. D knows how to drive.
1. B's first statement is false.
2. I do not know how to drive.
3. A did it.
Which one is the car thief?
Let's say 6 statements are lies.
A's 1st statement and C's 1st statement negate each other. One of them is a lie.
C's and D's negate each other. One of them is lying. Therefore, there are 4 additional false statements.
Assume A is guilty. If so, A's second statement, B's second statement, and D's first statement are the additional lies.
Assume D is guilty. If so, A's second statement, B's first statement, and D's third statement are lies. This also only makes five false statements. D did not do it.
Assume C did it. If so, A's second statement, D's first and third statements are false. This again, makes only five false statements.
After ruling out suspects A, C and D, B is the culprit. B's third statement, C's second statement, and D's first and third statements are the additional false statements. This adds up to six.
In a recreational activity, you are given four different jars of 2 liters, 4 liters, 6 liters and 8 liters respectively with an unlimited water supply. Then you are asked to measure exactly 5 liters of water using them.
How will you do it?
There are two planes. One is going from Los Angeles to Japan at a speed of 600 MPH. The other is traveling from Japan to Los Angeles at a speed of 500 MPH.
When the planes meet which one will be closer to Japan?
Although I'm not an insect, some people found me very difficult to exterminate. They called me something like 'insane priest.' The first half of my name means the same as 'scrape,' and my last three letters are a metal. Who am I?
I flop around on sticks and sometimes you cheer me as I do, I desperately need a white powder to do what needs to be done, and looking at me you might wonder why I look like I am about to go swimming. What am I?
Mike has some chickens that have been laying him plenty of eggs. He wants to give away his eggs to several of his friends, but he wants to give them all the same number of eggs. He figures out that he needs to give 7 of his friends eggs for them to get the same amount, otherwise there is 1 extra egg left.
What is the least number of eggs he needs for this to be true?
The number of eggs must be one more than a number that is divisible by 2, 3, 4, 5, and 6 since each of these numbers leave a remainder of 1.
For this to be true one less than the number must be divisible by 5, 4, and 3 (6 is 2*3 and 2 is a factor of 4 so they will automatically be a factor). 5 * 4 * 3 = 60. Then you just must find a multiple of 60 such that 60 * n + 1 is divisible by 7. 61 / 7, 121 / 7, 181 / 7, 241 / 7 all leave remainders but 301 / 7 doesn't.