Just One Line
Add just one line to create a correct equality.
SOLUTION
Add a line to the plus to transform it into a four.
Difficulty: Medium
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Simple Sum
Which number must be written in the place of the dots?
Remark: The missing number does not necessarily have 3 digits.
SOLUTION
If you turn the paper around, the text will read:
… = 19969 + 68199
99106 = 18108 + 80998
Therefore, the missing number is 88168, which after 180 degrees rotation becomes 89188.
Tight Spot
White starts and mates in 2 moves.
SOLUTION
White plays Rh6. If Black moves the bishop, Rxh7 is a mate. If Black takes the rook, g7 is a mate.
John and His Lawyer
John is talking to his lawyer in jail. Both of them are very upset
SOLUTION
John was visiting his lawyer who was the one in jail.
The Last Move
What was the last move made in this game?
SOLUTION
The last move was white king takes black knight on c1.
Shoot, Hang, Dinner
A woman shoots her husband, then holds him under water for five minutes, then hangs him, and finally
SOLUTION
The woman takes a picture of her husband and develops it in a dark room.
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Broken Square
A square has dropped on the ground and broken into ten pieces. Accidentally, an additional, eleventh piece has fallen among the others. Can you figure out which one it is?
SOLUTION
The total number of the squares in all pieces is 70 = 8 * 8 + 6. Therefore the extra piece is the one consisted of 6 squares.
Game of NIM
Two people play a game of NIM. There are 100 matches on a table, and the players take turns picking 1 to 5 sticks at a time. The person who takes the last stick wins the game. Who has a winning strategy?
SOLUTION
The first person has a winning strategy. First, he takes 4 sticks. Then every time the second player takes X sticks, the first player takes 6 – X sticks.
Bart’s Maze
Can you get from START to END in Bart Simpson’s maze?
SOLUTION
The solution is shown below.
Halloween Candies
A mother has 4 children. On Halloween, she decides to give them 200 candies one by one, starting with the youngest child, then the second youngest, third youngest, etc. At some point, they have to interrupt the procedure and eat dinner, but when they continue, nobody remembers which was the last child to get a candy. How can the mother distribute the remaining candies to the kids without starting over again or counting how many candies have been given so far?
SOLUTION
The mother can start giving the remaining candies one by one in the reverse order, starting with the oldest child, then the second oldest, etc.