Puzzle 73 | The Card Game Last Updated : 18 Jan, 2023 Comments Improve Suggest changes Like Article Like Report A blind man is handed a deck of 52 cards and told that exactly 10 of these cards are facing up. How can he divide the cards into two piles, not necessarily of equal size, with each pile having the same number of cards facing up? Solution: If the original pile has c cards with f cards facing up, then the blind man divides them into piles of size f and c - f. Then he flips all cards in the pile with f cards. Let's see why it works for c = 52 and f = 10. The blind man would divide the cards into two piles with 10 and 42 cards each. If there are k face-up cards in the 10-card pile, then there must be 10 - k face-up cards in the 42-card pile (because the total number of face-up cards is 10). So by flipping all cards in the 10-card pile, the number of face-up cards in both piles would become equal to 10 - k. This puzzle is contributed by Praveer Satyam. Comment More infoAdvertise with us Next Article Puzzle 73 | The Card Game K kartik Follow Improve Article Tags : Aptitude Analytical Mathematical Puzzles Similar Reads Puzzle 79 | Magical Matrix Two friends Satyam and Ankit decides to play a game. They have 9 cards lying face up with numbers 1 to 9 written on them. They have to start picking up these cards alternately, without replacement. The person with exactly 3 cards which adds up to 15 wins the game. Satyam is given first chance to pic 2 min read Puzzle | Four Card (A, D, 3, 6) | The Famous Four Card Task Puzzle:Suppose there are four cards labeled with the letters A, B, C, and D and the numerals 3, 4, 5, and 6. It is known that every card has a letter on one side and a number on the other. The rule of the game is that a card with a vowel on it always has an even number on the other side. How many an 2 min read Puzzle 14 | (Strategy for a 2 Player Coin Game) Puzzle: Consider a two-player coin game where each Player A and Player B gets the 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. Â The player that collects coins with more value wins the game. Develop a str 5 min read Puzzle - Life and Luck Picture this: Two friends, A, and B, find themselves in a thrilling yet terrifying game of life and death. They are captured by a gang of ruthless thugs and forced to play a game of cards. The stakes are high and the rules are deadly, but one question remains: who will survive? The Rule of the Game: 3 min read Puzzle | The Three Pile Trick A magician asks a person to select a card from a pack of 27 cards and return it back without showing it back to the magician. After the choice is made, the magician shuffles the pack and deals all the cards face up into three piles, one card to each pile in turn. The person is now asked which pile c 2 min read Like