A similar problem can be found in L.A. Graham’s Ingenious Mathematical Problems and Methods with a range of 1 to 9, but the principle remains the same – the numbers with the smallest difference produce the largest product. You start out with the highest two digits, 7 and 6, then attach 5 and 4, putting the smaller of the two digits with the larger number, giving you 74 and 65. The next two highest digits are 3 and 2, giving you 742 and 653. Finally, you add the 1 to the lower number. Page 80 has the details of that solution.
A snail. They carry their homes on their back, and a house would crush a person (even the tiny houses). And the trail of silver is a bit of a stretch, but it’s the slimy, gooey substance snails leave behind them.
This creature, part man and part tree, hates the termite as much as the flea. His tracks do not match, and his limbs may detach, but he’s not a strange creature to see.
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.
Kevin, Charles, Larry and Alex are in a room that’s about 110 feet long. In front of them are 5 balls which are exactly 100 ft from the exit. The balls are yellow, purple, green, red and blue, respectively. Each man must carry a ball to the exit. After traveling 20 ft a ball will change color twice. The sequence of color changes is always the same: yellow, purple, green, red, and blue.
At 80 ft Kevin’s ball is red. At 40 ft Larry’s ball is purple. At 60 ft Charles’ ball is blue At 100 ft Alex’s ball is purple.
The remaining ball was blue. Here’s a table of each ball and the color it changes to at 20, 40, 60, 80 and 100 ft. Kevin’s started out yellow, Larry’s was green, Charles’ was red and Alex began with a purple ball, leaving blue as the one nobody picked.