PROBLEM # 1

A grocer stacks oranges in a pyramid-like stack whose rectangular base is 5 oranges by 8 oranges, Each orange above the first level rests in a pocket formed by four oranges in the level below. The stack is completed by a single row of oranges. How many oranges are in the stack?

PROBLEM # 2

What is the value of x if:
Mod(x-1) = Mod(x-2)?

FOR GROWNUPS

PROBLEM # 3
What is the next number in the sequence:
1, 9, 18, 25, 27, 21,....
Explain your answer.

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SOLUTIONS TO PROBLEMS ON 05/20/04

FOR CHILDREN

PROBLEM # 1

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

SOLUTION
29 cents.

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 Berthas daughters and granddaughters have no daughters.

SOLUTION
2 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?

SOLUTION
2.

Congratulations Sandeep Bansal, Nidhee Krishnan and Jyothi Sitaram who were winners of the last set of puzzles.

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