FOR CHILDREN
PROBLEM # 1
In the number 98765.43, the place occupied by the digit nine is how many times greater than the place occupied by the digit 3?
FOR GROWNUPS
PROBLEM # 2
A clock hangs on the wall of a railway station. The dimensions of the
wall are 71 feet 9 inches long and 10 feet 4 inches high. While waiting
for a train, you notice that the hands of the clock were pointing in
opposite directions and were parallel to one of the diagonals of the
wall. What was the exact time?
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SOLUTIONS TO PROBLEMS ON 06/02/05
FOR CHILDREN
PROBLEM # 1
You
have a large wooden cube that measures 4 feet on each edge. You need to
cut the cube into 64 smaller cubes that measure 1 foot on each side. If
you rearrange the pieces before each cut, what is the least number of
cuts you will have to make?
SOLUTION
9.
FOR GROWNUPS
PROBLEM # 2
Each
shaded triangle in the circle is equilateral with side lengths of one
unit. Find the length of the radius of the circle. (Figure 1)
SOLUTION
0.5*(Tan60 + Tan54).
Congratulations to Bipin
Parekh, Ameek Ponda, Neha Sharma, Ramya Tammisetti, Dharmesh Thakkar
and Raj Vishwanathan, who were winners of the last set of puzzles.