FOR CHILDREN

PROBLEM # 1

1,2,3,6,2,8,16,2,18,36,2... What are the next 6 numbers in the sequence?

PROBLEM # 2

You are given 5 beans and 4 bowls. Place an odd number of beans in each bowl.

FOR GROWNUPS

PROBLEM # 3
Three mutually tangent spheres of radius 1 rest on a horizontal plane. A sphere of radius 2 rests on them. What is the distance from the plane to the top of the larger sphere?

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SOLUTIONS TO PROBLEMS ON 02/26/04

PROBLEM # 1

Two mice are racing around the perimeter of a square whose sides are 2 feet in length. They start at the same vertex (corner) and both go in a clockwise direction. One mouse travels at a constant rate of 1 foot per second and the second mouse travels at a constant rate of 2 feet per second. After 22 seconds, how far apart will the mice be?

SOLUTION

2 feet.

PROBLEM # 2

Using the digits in 1996 and any operations, write an equation that has the number 6 as the answer.

SOLUTION

One solution: 6*1*(9/9)) = 6.

PROBLEM # 3

Square ABCD has a side of length 2. A semicircle with diameter AB is constructed inside the square, and the tangent to the semicircle from C intersects AD at E. What is the length of CE.

SOLUTION

2.5.

Congratulations to P. Kapoor, S. Krishnan, P. Mutalik, P. Nalamati and R. Rekha who were winners of the last set of puzzles.

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