FEATURED
Chicken, Cat, and Goat
What is 3/7 chicken, 2/3 cat, and a half goat?
SOLUTION
The answer is CHICAGO. CHI is 3/7 of CHICKEN, CA is 2/3 of CAT, GO is a half of GOAT.
Category: Puzzles
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Special Transaction
One person went to the store and bought groceries for $13.59 total. He paid with a $100 bill, took his change, and left the store. There was something special about this transaction. What is it?
SOLUTION
The person paid with a $100 bill. The cashier returned him a $50 bill, a $20 bill, a $10 bill, a $5 bill, a $1 bill, a quarter, a dime, a nickel, and a cent. The transaction consisted of exactly one of each (frequently used) denominations.
FEATURED
Two Threes, Two Eights
Use exactly two threes (3) and two eights (8) to get the number 24. You can use multiplication (×), division (÷), addition (+), subtraction (-) signs, and brackets. You can not use any advanced arithmetic operations, such as exponential, factorial, etc.
SOLUTION
The answer is shown below.
8 ÷ (3 – 8 ÷ 3) = 24
Psychedelic Maze
Can you solve this psychedelic maze, created by Yonatan Frimer?
SOLUTION
The solution is shown below.
1985
What number corresponds to 1985?
0 0 0 0 – 4
1 7 5 2 – 0
1 8 7 9 – 3
2 0 6 1 – 2
3 1 4 1 – 0
4 0 9 6 – 3
7 7 7 7 – 0
9 9 7 3 – 2
1 9 8 5 – ???
SOLUTION
The numbers on the right count the total number of “holes” in the digits on the left. “1”, “2”, “3”, “4”, “5” and “7” have 0 holes in them. “0”, “6” and “9” have 1 hole in them. “8” has 2 holes in it. Therefore, the corresponding number is 3.
Alice in Wonderland
Get from START to FINISH in this maze, created by Joe Wos.
SOLUTION
The solution is shown below.
Going to the Fair
While going to the town fair, Tristan met 5 clowns on his way. Each clown had 4 dogs, each dog had 2 cats and each cat had 2 mice. How many in total were going to the fair?
SOLUTION
Only Tristan. He met the others on his way to the fair, so they were coming back from there.
FEATURED
Three Daughters
Two friend mathematicians meet each after
– I have 3 daughters, the product of their ages is 36.
– I can’t figure out how old they are, can you tell me more?
– Sure, the sum of their ages is equal to the number of my house.
– I know your house number, but still can’t figure out the ages of your daughters.
– Also, my eldest daughter is called Monica.
– OK, now I know how old your daughters are.
What ages are the three daughters of the mathematician?
SOLUTION
Using the first clue, we find that there are 8 possibilities:
(1, 1, 36) -> sum 38
(1, 2, 18) -> sum 21
(1, 3, 12) -> sum 16
(1, 4, 9) -> sum 14
(1, 6, 6) -> sum 13
(2, 2, 9) -> sum 13
(2, 3, 6) -> sum 11
(3, 3, 4) -> sum 10
Since the second mathematician couldn’t guess the ages even after the second clue, the sum has to be 13. Therefore the only possible options are (1, 6, 6) and (2, 2, 9). However, the third clue suggests that there is an “eldest” daughter and then the correct answer is 2, 2 and 9.
The Rope Is Short
You have to descend a 100-meter vertical cliff. However, you have only a 75-meter long rope and a knife with yourself. On the top of the cliff and halfway down – 50 meters above the ground, there are two big pins stuck in it. How can you get safely down to the ground?
SOLUTION
First, you cut the rope at 25 meters and make a loop at the end of the short part. Then you pass the longer part through the loop so that you get a 50-meter long rope (the second 25 meters are doubled). You use this rope to descend to the pin and grab it. Then tie one of the ends of the 50-meter rope to the pin, pull the rest back through the loop and let it fall to the ground.
Murder in a Car
The police found a murdered man in a car. The windows of the car were raised, the doors were locked, and the keys were inside, in the man’s hands. The man was shot several times with a gun, but there were no holes anywhere on the car. How is this possible?
SOLUTION
The car was convertible, with the top retracted back.