PROBLEM # 1

Alice earns $20 per hour, of which 1.45% is deducted to pay local taxes. How many cents per hour of Alice\\'s wages are used to pay taxes?

PROBLEM # 2

Bertha has 6 daughters and no sons. Some of her daughters have 6 daughters, and the rest have none. Bertha has a total of 30 daughters and granddaughters, and no great-granddaughters. How many of Bertha's daughters and granddaughters have no daughters.

FOR GROWNUPS

PROBLEM # 3
ABCD is a square. Point E lies on AD and point F lies of CD such that triangle BEF is equilateral. What is the ratio of the area of triangle DEF to that of triangle ABE?

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SOLUTIONS TO PROBLEMS ON 05/06/04

FOR CHILDREN

PROBLEM # 1

What is the least odd number you can obtain from the product of four prime numbers?

SOLUTION
210.

PROBLEM # 2

If the diameter of a circle is increased by forty percent, by what percent is the area of the circle increased?

SOLUTION
96%.

FOR GROWNUPS

PROBLEM # #

Let A(1), A(2), ... be a sequence with the following properties.

i) A(1) = 1, and
ii) A(2N) = N x A(N), for any positive interger N.

What is the value of A(2^100))? SOLUTION
2^4950.

Congratulations Sandeep Bansal, Ruby Dhillon, Nidhee Krishnan, Smita Mehta, Pooja Mutalik, Rajiv Ramaratnam and Mukund Seshadri who were winners of the last set of puzzles. Here is one puzzle for kids and one for adults.

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