Brain Teasers & Puzzles
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Consider a two player coin game where each player gets turn one by one. There is a row of even number of coins, and a player on his/her turn can pick a coin from any of the two corners of the row. The player that collects coins with more value wins the game. Develop a strategy for the player making the first turn, such he/she never looses the game.
Note that the strategy to pick maximum of two corners may not work. In the following example, first player looses the game when he/she uses strategy to pick maximum of two corners.
Example 18 20 15 30 10 14 First Player picks 18, now row of coins is 20 15 30 10 14 Second player picks 20, now row of coins is 15 30 10 14 First Player picks 15, now row of coins is 30 10 14 Second player picks 30, now row of coins is 10 14 First Player picks 14, now row of coins is 10 Second player picks 10, game over. The total value collected by second player is more (20 + 30 + 10) compared to first player (18 + 15 + 14). So the second player wins.
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A man has a medical condition that requires him to take two kinds of pills, call them A and B. The man must take exactly one A pill and exactly one B pill each day, or he will die. The pills are taken by first dissolving them in water.
The man has a jar of A pills and a jar of B pills. One day, as he is about to take his pills, he takes out one A pill from the A jar and puts it in a glass of water. Then he accidentally takes out two B pills from the B jar and puts them in the water. Now, he is in the situation of having a glass of water with three dissolved pills, one A pill and two B pills. Unfortunately, the pills are very expensive, so the thought of throwing out the water with the 3 pills and starting over is out of the question.
How should the man proceed in order to get the right quantity of A and B while not wasting any pills?
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In a country,
All families wants a boy. They keep having babies till a boy is born.What is the expected ratio of boys and girls in the country?
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You’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat. He then says to you, “Do you want to pick door No. 2?” Is it to your advantage to switch your choice?
With you switch or stay with your door?
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What is the fewest number of coins would be required in order to make sure each and every coin touches exactly three other coins.
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This is a popular probability puzzle in which you have to select the correct answer at random from the four options below.
Can you tell, whats the probability of choosing correct answer in this random manner.
1) 1/4
2) 1/2
3) 1
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Three ants are sitting at the three corners of an equilateral triangle. Each ant randomly picks a direction and starts to move along the edge of the triangle. What is the probability that none of the ants collide?
How about other shapes, Square? N sides?
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The two red lines in the diagram shown are drawn diagonally on the faces of a cube. What is the angle between them at the point where they join?
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Take a piece of paper and draw a Pi as shown in the figure. Now cut it from the given places. If you do it right, you will have five pieces in your hands now. Can you rejoin them in a manner that the final figure becomes a square ?
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