Problems 11 - 20

11) A $4.55 Puzzle

Placing one coin in each square, arrange five pennies, five nickels, five dimes, five quarters, and five half-dollars in this 5x5 grid so the totals in each row and column equal the amounts below and to the right of the grid.

.72 1.60 .70 .86 .67  





12) Adam's Poker Hand

Adam picked up one of his usual, five-card draw poker hands the other night. He noted:

  • All of the cards were below a jack and no suit was missing.
  • The cumulative total of the even cards and the odd cards were equal.
  • The spades totaled 14.
  • The red cards totaled 10.
  • The lowest card was a heart.

What was Adam's hand?




13) Detective Chess (1)

The object of this puzzle is to determine the positions of five chess pieces - a King, Queen, Rook, Bishop, and Knight.

To help you do this, you are given clues in the form of numbers on some squares. Each number represents the number of pieces which "attack" that square - or to put it another way, the number of pieces which could move there in one turn.

The pieces must go in the five squares with the blue borders. When they are correctly placed, the numbers on the board will match exactly the number of pieces that attack each numbered square. There is only one solution.

For example, with the chessboard below, neither a Queen nor a Rook can be placed on square c3 since each of those two pieces would attack square c6 and that square has zero pieces attacking it. Nor can a Queen or a Bishop be placed on square a8 for the same reason. You've just eliminated two squares the Queen can be placed on.





14) Detective Chess (2)

Once again, determine the location of the five chess pieces as described above.





15) Scrabble Words (1)

According to the second edition of The Official Scrabble Player's Dictionary, which of the following words would NOT be considered valid in a Scrabble Brand Crossword game:





16) Scrabble Words (2)

This time, only one of the words in the list below would be considered valid in a Scrabble Brand Crossword game, according to the second edition of The Official Scrabble Player's Dictionary.  Which word is it?





17) Lock Block

"Oh fudge!" said Zack! "I've forgotten my locker combination! Now I'm going to be late for class!"

"Relax," said Kyle. "What do you remember about it?"

"Well, as you know, each of the three numbers of my combination can be anywhere between 1 and 39 inclusive. I do remember each number was different and the sum of the first two numbers was 42."

"Okay, go on."

"The last two numbers differed by only two. Oh yes, and all three numbers were primes."

"Well Zack, it just so happens I actually remember your combination. But since you think you're so smart, I'll only give you just one hint. If you take the three numbers of your combination and multiply the three of them together, the last digit of the product will be...." And Kyle whispered something in his ear.

With that, Zack was able to deduce his combination and open his locker.

What was his combination?




18) The Six Poker Hands

Each of the participants in the last pot reveals something about his hand:

  • Ed: I had the 2 of hearts, the 9 of hearts, the Jack of hearts, and the the 2 and 9 of diamonds.
  • Adam: I had four 5's and the Queen of spades.
  • Jim: I had a club flush.
  • Cleon: I had a straight. Two of my cards were spades, the others weren't.
  • Brendan: I had a black straight flush.
  • Elliott: I just had one lousy pair. But my lowest ranking card was higher than any of Jim's cards.

If no more than three of the undealt cards were black, what hand did everyone have?




19) My Opponent's Poker Hand

I made a large bet in my last Lowball poker game and my opponent folded. With the diagram below and the following clues, can you figure out what my opponent had? (Note: Aces are considered a low card in Lowball.)

  • He did not have a nine or the Ace of hearts.
  • The cards in our hands all had different values and each suit was represented at least once.
  • Together we had more black cards than red ones and we had more diamonds than clubs.
  • The lowest spade within the ten cards was the 7.
  • Added together, all ten of our cards totaled 60 points. (Aces count as 1, Jacks as 11, Queens as 12, Kings as 13 and everything else at face value.)




20) The Man in the Portrait

A man is looking at a portrait and says, "Brothers and sisters I have none, but that man's father is my father's son."

The man is looking at a portrait of...