For The Mathematically Inclined


Anil Saigal 06/03/2005
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? 
Please send your solutions to anil@lokvani.com.
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If you need clarification on any problem, please contact anil@lokvani.com.
 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.

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