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For The Mathematically Inclined


Anil Saigal 02/20/2007
FOR CHILDREN
PROBLEM # 1 For how many positive integer values of x is sqrt(120  x) an integer? FOR GROWNUPS PROBLEM # 2 What is the smallest number such that the product of the digits is 10!
(Ten Factorial)

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If you need clarification on any problem, please contact anil@lokvani.com.
 SOLUTIONS TO PROBLEMS ON 02/08/07
FOR CHILDREN
PROBLEM # 1 The product of 3 brothers' ages is 175. Two are twins. How old is the other one?
SOLUTION 7 years old. FOR GROWNUPS
PROBLEM # 2 A
snugfitting belt is placed around the Earth's equator. Suppose
you added an extra 1 meter of length to the belt, held it at a point,
and lifted until all the slack was gone. How high above the
Earth's surface would you then be? That is, find h in figure
below.
(Assume that the Earth is a perfect sphere of radius 6400 km, and that the belt material does not stretch.)
SOLUTION 121.6 m. Congratulations to Sandeep
Bansal, Janani Baskaran, Nihal Gowravaram, Niket Gowravaram, Anupa
Manjunatha, Samita Mohanasundaram, Kavitha Muralidharan, Madhavi
Muralidharan, Malhar Teli and Niharika Yerneni, who were winners of the last set of puzzles.

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