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For The Mathematically Inclined

Anil Saigal
03/12/2004

FOR CHILDREN

PROBLEM # 1

a. Is 0 an odd number or an even number.
b. Is 0 a positive number or a negative number.

PROBLEM # 2

A car is moving at 60 miles per hour. How long will it take the car to move a distance of 176 feet.

FOR GROWNUPS

PROBLEM # 3
Coin A is flipped tree times and coin B is flipped 4 times. What is the probability that the number of heads obtained from flipping the two fair coins is the same.

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Please send your solutions to anil@lokvani.com.

Use "Problem Solutions M-032504" as the subject line. Please include your full name in the text of the main message. The first one to submit the right answer will be profiled in the next issue of Lokvani.

Please do not post your solution in "Post Comments". No credit will be given for solutions not sent to anil@lokvani.com.

If you need clarification on any problem, please contact anil@lokvani.com.

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SOLUTIONS TO PROBLEMS ON 03/11/04

FOR CHILDREN

1,2,3,6,2,8,16,2,18,36,2... What are the next 6 numbers in the sequence?

SOLUTION

38, 76, 2, 78, 156, 2

FOR GROWN UPS

Three mutually tangent spheres of radius 1 rest on a horizontal plane. A sphere of radius 2 rests on them. What is the distance from the plane to the top of the larer sphere?

SOLUTION

3 + sqrt (23/3)

Congratulations to R. Dhillon, R. Kulkarni, R. Mirchandani, P. Mutalik, A. Shah and S. Shah who were winners of the last set of puzzles.



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