You’ve got an 8×8 checkerboard and a bunch of dominoes that each fit nicely on two squares of the checkboard. You can easily tile the entire checkerboard with these dominoes.
Now say that you remove two squares, one at one corner and the other at the opposite corner. You’re left with 62 squares. Can you tile this with the dominoes? If so, show how. If not, prove why not.
A 10-volume encyclopedia ,labeled A thru J, sits on a bookshelf in an orderly fashion. Each volume contains 100 pages. A book worm starts at the first page of the first volume and worms it's way thru til the last page of the last volume. How many pages did the worm tunnel thru?
Hidden:
802, but I’ve done this riddle before so wasn’t a challenge
You’ve got an 8×8 checkerboard and a bunch of dominoes that each fit nicely on two squares of the checkboard. You can easily tile the entire checkerboard with these dominoes.
Now say that you remove two squares, one at one corner and the other at the opposite corner. You’re left with 62 squares. Can you tile this with the dominoes? If so, show how. If not, prove why not.
Let me get a pen
Hidden:
If the empty squares are diagonally across it won’t work. I dunno why but I tried with a pen. Final answer.
It's a bit hard to reproduce here... it has to be an equilateral triange... with a tree at every summit, at the center, and in the middle of each side...
You can go from every summit through the center to the middle of the opposite side... that's three, plus the three sides is six...
It's a bit hard to reproduce here... it has to be an equilateral triange... with a tree at every summit, at the center, and in the middle of each side...
You can go from every summit through the center to the middle of the opposite side... that's three, plus the three sides is six...
What do you know I typed this a few minutes after the riddle was posted last week, then deleted because decided it’s only 5. I’m having a hard time finding the sixth here.
A man conducting a survey visits the home of a woman. He knocks on the door and sees a woman with her three children. He asks for the ages of her children. She tells him, “The product of their ages is 72. And the sum of their ages is the number on the door.” So the man goes outside and checks the number of the door. He comes back and says, “I need more information.” She replies: “The oldest one likes strawberries.” Immediately, the man figures out their ages. What are their ages?
A man conducting a survey visits the home of a woman. He knocks on the door and sees a woman with her three children. He asks for the ages of her children. She tells him, “The product of their ages is 72. And the sum of their ages is the number on the door.” So the man goes outside and checks the number of the door. He comes back and says, “I need more information.” She replies: “The oldest one likes strawberries.” Immediately, the man figures out their ages. What are their ages?