A magician is standing on a concrete floor holding a raw egg with his hand outstretched.
Without the aid of any other objects, he is able to drop the egg2feet without breaking its shell.
How did he do it?
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 eggshe needs for this to be true?
301 eggs.
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.
Take two numbers, such that the square of the first, plus the square of the second, shall equal 8; while the first, plus the product of the first and second, shall equal 6. What are the two numbers?
Jack had only $2, but he needed $3 for his cab fare home. He went to a pawn shop and pawned his $2 for $1.50. Jack then bumped into Don and told him that he would sell him his $2 pawn ticket for $1.50. Dan agreed. Since Jack started out with $2, and he ended up with $3, who is out the extra dollar and why?
Oh, how I love my dancing feet!
They stay together - oh so neat.
And when I want to walk a line,
They all stay together and do double time.
I count them up, ten times or more,
And race on-off, across the floor.
There is a frog, dead in the middle of an island. If he swims north, the distance to the mainland is 2 meters. If he swims south, the distance to the mainland is 3 meters. If he swims east or west, the distance is 4 meters. Which way does he swim?
1 duck saw 4 elephants as it was going toward the river.
Every elephant noticed 2 monkeys going to the river.
Every monkey was carrying 1 dove in its paws.
How many animals are going to the river?
Five animals are moving toward the river.
Here's a detailed answer:
1 duck noticed 4 elephants as it was going toward the river. Hence, 1 animal (the duck) is moving to the river.
The 4 elephants saw 2 monkeys going walking toward the river. Now comes the tricky part. You may think that each elephant saw 2 different monkeys walking toward the river. So you would conclude that 4 x 2 = 8 monkeys were going to the river.
However, the task does not explicitly say that each elephant saw DIFFERENT monkeys. In fact, you can logically infer that the elephants saw the SAME 2 monkeys. Hence, we only have 2 additional animals (monkeys) moving toward the river.
Since every monkey was carrying 1 dove, the 2 monkeys were carrying 2 doves in total.
Summing up, we have 1 duck, 2 monkeys, and 2 doves moving to the river. 1 + 2 + 2 = 5 animals.
The prisoner was locked up in a room with a dirt floor. The room has one window, which is high up above the prisoner's height. The prisoner had a shovel, but he had only 2 days to get out, and digging would take him more than 5. How would he escape?
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