Recent content by K Sengupta

  1. K

    Product equality and sum of squares equality puzzle

    Substitute each of the capital letters by a different digit from 0 to 9 to satisfy this set of cryptarithmetic relationships. None of the numbers can contain any leading zero. ABCD*EF=GHJB*KE, and: (EH)2 + (KC)2 = (KH)2
  2. K

    Two successive digits and divisibility puzzle

    Determine all possible value(s) of a 8-digit base 10 positive integer having the form ABCDEFGH, where each of the capital letters denotes a different digit from 1 to 9, that satisfy each of the following conditions: (I) AB is divisible by 2, and: (II) BC is divisible by 6, and: (III) CD...
  3. K

    Product Equality and Linear Expression Puzzle

    Substitute each of the capital letters by a different digit from 0 to 9 to satisfy this set of cryptarithmetic relationships. None of the numbers can contain any leading zero. (ABC)*(DE)=(BCD)*(BF), and: FA+DF- CE=1
  4. K

    Sum, difference and equality puzzle

    Substitute each of the capital letters by a different digit from 0 to 9 to satisfy this set of cryptarithmetic relationships. None of the numbers can contain any leading zero. GEORGE + RUGGLE + 15750 + 16220 + P = PPPPPP, and: OE - LR = LO, and: RUGGLE is divisible by 7
  5. K

    TV series and competition puzzle

    In this season's "Dancing with the Celebs" TV series, Harry and nine other famous personalities paired with professional dancers to try to claim this year's title. Each week, one of the celebrities--who are in different entertainment and media fields, with one a stand-up comic--is sent home...
  6. K

    Three Passengers and Train Station Puzzle

    Brian, Amy and Stephanie are waiting at the train station. Each of the three is waiting for a different train. When they check the station clock, they realize that Amy is going to have to wait twice as long for her train as Brian will for his, while Stephanie will have to wait twice as long...
  7. K

    Product equality and difference puzzle

    Substitute each of the capital letters by a base ten digit from 0 to 9 to satisfy this set of cryptarithmetic equations. None of the numbers can contain any leading zero. ABC*D=C*BCD, and: BC-CA-AD= 5
  8. K

    2010 and sum of digits puzzle

    Determine the sum of all the digits in the positive integers from 1 to 2010 inclusively.
  9. K

    Knight and knaves and distant planet puzzle

    I confirm having made the requisite amendment in the original post in conformity with the foregoing.
  10. K

    Knight and knaves and distant planet puzzle

    A distant planet is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. Eight inhabitants of the planet: Marge, Mel, Betty, Bob, Bill, Carl, Zeke and Alice are busy at a conversation, when a visitor from a neighboring planet stops by and asks each of...
  11. K

    Infinite String and Letter Puzzle

    The string abbcccddddeeeee… continuously repeats such that after the final z, the letters abbcccddddeeeee… begin again. What will be the 3000th letter in the pattern?
  12. K

    Six Jars and Arsenic Puzzle

    Six jars are placed (left to right: coffee, arsenic, and sugar on the top shelf; snuff, tea, and salt on the bottom shelf) and, thereafter filled up with these ingredients, making sure each jar contains something other than what the label says. It is known that: (i) The salt is located...
  13. K

    Sum of Four Squares and Digits Puzzle

    Substitute each of the small letters by a different base ten digit from 1 to 9, with a<= b<=c<=d, to satisfy this equation. a2 + b2 + c2 + d2 = e2
  14. K

    Four contestants and three statements puzzle

    Four contestants E, F, G, and H ran for a contest. When asked by a common acquaintance, three spectators A, B, C made the following statements regarding the final results. 1. A said, "Either E or H is the winner." 2. B said, "E is not the winner." 3. C said, "Neither H nor G is the...
  15. K

    Line and Letter Placement Puzzle

    Does the letter R go above or below the line? A B D O P Q __________________ C E F G H I J K L M N
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