FOR CHILDREN

PROBLEM # 1

Find the smallest two-digit prime numbers whose digits are also prime?

PROBLEM # 2

Write 1,000,000,000 as the product of two positive integers, neither of which contains any zeros.

FOR GROWNUPS

PROBLEM # 3
A sequence of three real numbers forms an arithmetic prgression with a first term of 9. If 2 is added to the second term and 20 is added to the third term, the three resulting numbers form a geometric progression. What is the smallest possible value for the third term of the geometric progression?

-------------------------------------------------------------------------------------------------------------

Please send your solutions to anil@lokvani.com.

Use "Problem Solutions M-042204" 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.

-------------------------------------------------------------------------------------------------------------

SOLUTIONS TO PROBLEMS ON 04/08/04

FOR CHILDREN

PROBLEM # 1

If the letters MATHEMATICSRULES endlessly repeats, what would be the 500th letter?

SOLUTION
H

PROBLEM # 2

What is the last digit of the number 2^20 - 1.

SOLUTION
5

Congratulations to S. Krishnakumar, Swathi Krishnan, Deepa Santamayor and Mukund Sheshadri who were winners of the last set of puzzles.

|