You are decorating for spring and you’ve found a bargain. A huge box of beautifully decorated tiles, enough to provide a border in two rooms. You really can’t figure out how to arrange them. If you set a border of two tiles all around, there’s one left over. If you set three tiles all around or four or five or six there’s still one tile left over. Finally you try a block of seven tiles for each corner and you come out even. What is the smallest number of tiles you could have to get this result?
There was a neighborhood of one-story houses.
One was red and everything in the house was red.
Another was purple and everything in the house was purple.
Yet another was yellow and everything in the house was yellow.
Still another was blue and everything in the house was blue.
In the green house everything was green,
and in the gray house everything was grey.
A man gets off the bus looking for an address and approaches a couple walking in the same direction for directions. The woman says they’re going that way and take him. Along the way the man asks if they’re related. The woman grins and says, “We’re not strangers. This man’s mother is my mother’s mother-in-law.” The man is confused but doesn’t say anything. When he gets back home he tells his wife about the conversation and she can’t figure it out either. They decide to ask their lawyer and he eventually works it out with pen and paper. How are the couple related?
Mary was out riding a frisky pony in a meadow by the sea when the bridle came loose. The animal shook it off and started to gallop full speed toward the ocean, paying no attention to Mary’s yelling to slow down. She couldn’t bear to jump off and lose her beloved pony, so she stayed on and hoped for the best. When the cliff loomed ahead of her, she knew she had to stop the pony. How did she do it?