• Brain Teasers & Puzzles

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    • Given the size of the chess board and initial position of the knight, what is the probability that after k moves the knight will be inside the chess board.

      Note:-
      1) The knight makes its all 8 possible moves with equal probability.
      2) Once the knight is outside the chess board it cannot come back inside.

      Puzzlefry added Info-
      This challenge is originally from a blog post of crazyforcode.com published under the CC BY-NC-ND 2.5 IN licence.

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      • 2 answers
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    • You have 3 switches in a room. One of them is for a bulb in next room. You can not see whether the bulb is on or off, until you enter the room. What is the minimum number of times you need to go in to the room to determine which switch corresponds to the bulb in next room.

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    • Five friends pooled their resources one day and pieced a CD together from songs they had written. They called their band “The Puzzle Fry”  and ended up playing a number of live gigs at local events. Determine the full name of each band member, the instrument (or mixing console) each played, the brand of equipment each used, plus each member’s favorite magazine.

      • Steve wasn’t the sound engineer. One of the women enjoyed EQ magazine.
      • Angie and Steve didn’t like Recording magazine. The bass player used Ibanez equipment.
      • Mr. Magnus didn’t use Mackie equipment. Mark’s last name wasn’t Hydal and he didn’t play keyboard.
      • The sound engineer, whose last name wasn’t Engel, enjoyed reading Mix magazine. The person who used Yamaha drums wasn’t Robert, but their last name is Hydal.
      • The five band members (in no particular order) were: Mark Scott, the female bass player, the person who read Musician, the one who used Peavey equipment, and Robert.
      • Shelley’s last name was not Hydal or McArthur and she didn’t use Roland equipment. Mackie only developed equipment for live sound and recording NOT musical instruments.
      • Steve McArthur was the guitarist.

      Use the grid to help solve the puzzle!

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      • 1 answers
      • 1 votes



    • Mrs. Robinson’s 4th grade class took a field trip to the local zoo. The day was sunny and warm – a perfect day to spend at the zoo. The kids had a great time and the monkeys were voted the class favorite animal. The zoo had four monkeys – two males and two females. It was lunchtime for the monkeys and as the kids watched, each one ate a different fruit in their favorite resting place. Can you determine the name of each monkey, what kind of fruit each monkey ate, and where their favorite resting place was?

      1. Sam, who doesn’t like bananas, likes sitting on the grass.
      2. The monkey who sat on the rock ate the apple. The monkey who ate the pear didn’t sit on the tree branch.
      3. Anna sat by the stream but she didn’t eat the pear.
      4. Harriet didn’t sit on the tree branch. Mike doesn’t like oranges.
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    • One Saturday afternoon, four boys visited the local 5 and 10 store to buy candy. Each boy bought just his favorite candy and they all had a different favorite. They each spent under one dollar and they each bought a different amount of their favorite candy. Can you determine each boy’s full name, the type and quantity of candy each boy purchased, and how much each boy spent?

      1. Peter, whose last name isn’t Smythe, bought one piece less than the boy who bought the Tootsie Rolls but he spent 15 cents more.
      2. Adam, who spent 35 cents, spent the least. The boy who bought the lollipops spent the most.
      3. Tom Wilson, who spent 10 cents more than John, spent 60 cents.
      4. The amount spent by each boy, from the least to the most, was the boy who bought the peppermints, the boy whose last name is Smythe, the boy who bought the Tootsie Rolls, and the boy whose last name is Brown.
      5. Peter’s last name isn’t Parker.
      6. The boy who bought ten gum drops, whose last name isn’t Parker, bought the largest quantity. The boy who spent the most bought the smallest quantity.
      7. The boy who got seven peppermints had two more pieces than the boy who got the lollipops.

      Use the grid to help solve the puzzle!

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      • 1 answers
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    • One summer, five couples went on a cruise together for their vacations. The trip lasted for a week and the couples spent most of their time together. Each morning they would meet for breakfast and decide what to do for the day. On the fourth morning however, the ship stopped at a tropical island resort and the couples discovered that everyone wanted to do something different. At length, they decided to split up for the day and meet back on the ship for supper to share their adventures with each other. Being tourists, each couple gave into their urge to bring back a souvenir and by luck, they all brought back something different. Using the clues and the grid below, determine the first and last names of each couple, what they did for the day, and what souvenir they brought back.

      1. The couple who went scuba diving didn’t buy the homemade candies but loved what Bob and Judy bought.
      2. Jake, whose last name isn’t Horner, was disappointed by his golfing scores. Peter, who isn’t married to Tracy, wanted to go sight seeing with Bob Gallop but he went surfing with his wife instead.
      3. Each couple is represented by the following: Mr. and Mrs. Peel, homemade candies, Cindy, Bob, golfing.
      4. Mike is not Tracy’s husband and Jane is not Ed’s wife. Ed didn’t go hiking.
      5. The couple who went site seeing bought a beautifully carved wood dolphin at one of the local attractions. The dolphin and Sarah’s model ship were voted the best of the souvenirs.
      6. Ed, who is not married to Cindy, liked the shirts that Jake Bremmer bought. Mike, whose last name is not Elmwood, bought the postcards.
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    • Imagine a fletcher (i.e. an arrow-maker) has fired one of his arrows into the air. For the arrow to be considered to be moving, it has to be continually repositioning itself from the place where it is now to any place where it currently isn’t. The Fletcher’s Paradox, however, states that throughout its trajectory the arrow is actually not moving at all. At any given instant of no real duration (in other words, a snapshot in time) during its flight, the arrow cannot move to somewhere it isn’t because there isn’t time for it to do so. And it can’t move to where it is now, because it’s already there. So, for that instant in time, the arrow must be stationary. But because all time is comprised entirely of instants—in every one of which the arrow must also be stationary—then the arrow must in fact be stationary the entire time. Except, of course, it isn’t.

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    • In his final written work, Discourses and Mathematical Demonstrations Relating to Two New Sciences (1638), the legendary Italian polymath Galileo Galilei proposed a mathematical paradox based on the relationships between different sets of numbers. On the one hand, he proposed, there are square numbers—like 1, 4, 9, 16, 25, 36, and so on. On the other, there are those numbers that are not squares—like 2, 3, 5, 6, 7, 8, 10, and so on. Put these two groups together, and surely there have to be more numbers in general than there are justsquare numbers—or, to put it another way, the total number of square numbers must be less than the total number of square and non-square numbers together. However, because every positive number has to have a corresponding square and every square number has to have a positive number as its square root, there cannot possibly be more of one than the other.

      Confused? You’re not the only one. In his discussion of his paradox, Galileo was left with no alternative than to conclude that numerical concepts like more, less, or fewer can only be applied to finite sets of numbers, and as there are an infinite number of square and non-square numbers, these concepts simply cannot be used in this context.

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    • Implement the function boolean isPalindrome (int n);
      
      Which will return true if the bit-wise representation of the integer 
      is a palindrome and false otherwise.
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    • Here’s something a little different – a themed puzzle about Walt Disney. So come on all you Disney fans (and all you parents with kids!), put your thinking caps on and give this one a try!

      Using the clues given, fill in the grid boxes with the answers. In the grid, each horizontal row is one clue and the clues should be entered from the top down. So the first horizontal row goes with clue 1, the second horizontal row goes with clue 2, etc. When the grid is complete, read the highlighted boxes from top to bottom for the hidden message.

      HINTS: The clues all refer to characters in Disney animated movie features. Some of the clues are one word, some are two. Don’t leave spaces between the words when entering a two word answer.

      1. She bit into a poisonous apple
      2. She sang “I want more than this provincial life.”
      3. He was a “diamond in the rough”
      4. He wanted to capture the apes to sell to the circus
      5. He was seeking the shepherds journal
      6. She entered the army to protect her father and gained honor for herself when she defeated the enemy
      7. The whale swallowed him whole
      8. He liked to decorate with antlers and eat a dozen eggs every day
      9. This household servant had a son named Chip
      10. He lived in Never Never Land
      11. He said “and as I always say – if it’s not baroque than don’t fix it…..”
      12. She came to the jungle to study the apes and decided to stay
      13. This pious clergyman was no friend to gyspies or his adopted son
      14. She pricked her finger on a spinning needle on her 16th birthday
      15. This princess felt trapped and wanted to see the world
      16. She blew up the balloon to stop Commander Rourke from getting away
      17. Before his 21st birthday he needed loves first kiss or the spell would last forever
      18. This girl’s adventure had her pretending to be a mother to the lost boys
      19. An advisor who wanted to be both king and an all powerful sorcerer
      20. He and his adopted family barely escaped the island before the meteor struck
      21. He rang the church bells and wanted to have friends
      22. She sprinkled pixie dust
      23. This gypsy girl fell in love with the captain of the guard
      24. He broke through The Great Wall and wanted to rule China
      25. He sang “Be our guest. Be our guest. Put our sevice to the test.”
      26. He said “Awesome living quarters, tiny living space”
      27. She sang “In my past I’ve been a nasty, they weren’t kidding when they called me wella witch”
      28. This crusty oldster was watching over his sister and bringing the herd to a safer place
      29. She spoke the magic words to change herself into a dragon
      30. She liked the newcomer to the herd, he was kind to others and very different from her brother
      31. She was heir to the kingdom and over 8000 years old
      32. He wanted to be a real guardian of the ancestral spirits, instead of the gong ringer.
      33. This creature, who liked to write symphonies, was told to watch over a young girl by his king
      34. She wanted to walk on the beach, not swim in the sea
      35. This boy was raised by apes after a tiger killed his parents
      36. He said “I want to be a real boy”
      37. This fierce pirate was afraid of crocodiles

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