FOR CHILDREN

PROBLEM # 1
There are fewer than 6 dozen rocks in a collection.
Grouping the rocks by 2s leaves 1 extra.
Grouping them by 3s leaves 2 extra.
Grouping by 4s leaves 3 extra.
Grouping by 5s leaves 4 extra.

How many rocks are in the collection?

FOR GROWNUPS

PROBLEM # 2
What is the sum of 1 + 1/(2x3) + 1/(3x4) + 1/(4x5) + 1/(5x6) + .....?

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SOLUTIONS TO PROBLEMS ON 07/28/05

FOR CHILDREN

PROBLEM # 1
How many whole numbers between 0 and 180 are divisible by both 4 and 6?

SOLUTION
14.

FOR GROWNUPS

PROBLEM # 2
Tap 1 by itself can fill a sink in 3 hours. Tap 2 by itself can fill the same sink
in 6 hours. How long will it take to fill the sink if both the taps are open together?

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