FOR CHILDREN

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?

PROBLEM # 2

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

FOR GROWNUPS

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.

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SOLUTIONS TO PROBLEMS ON 02/12/04

PROBLEM # 1

What are the next three number in the sequence
-1, 0, 1, 0, 1, 2, 3, 6, _, _, _.

SOLUTION

11, 20, 37.

PROBLEM # 2

A man was born on February 29, 1928. He dies January 29, 2004. How many actual birthdays (February 29) does he have (not counting the day he was born in 1928 as a birthday)?

SOLUTION

18.

PROBLEM # 3

Observe the table of values. A new operational symbol # has been created. Based on the values of A, B and A#B in the table, determine the value of 2/3 # 1/5.

A	B	A#B
5	2	21
19	9	280
41	21	1240
55	51	424
2/3	1/5	?

SOLUTION

91/225.

Congratulations to A. Ayyar, R. Dhillon, B. Goyal, U. Kahalikar, S. Krishnan, Z. Larsen, M. Mankad, M. Mathai, Mayadevi, P. Mutalik, P. Nalamati, R. Rekha, M. Srivastave M. Thakkar and P. Thakkar who were winners of the last set of puzzles

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