Archives
Contribute

For The Mathematically Inclined


Anil Saigal 02/01/2005
FOR CHILDREN
PROBLEM # 1
If you add the consecutive counting numbers starting with one,
what number will make the sum be equal to or more than 1,000?
FOR GROWNUPS
PROBLEM # 2 If cos(10x) + cos(5x) = 0, 0< x < 2.2 pi, find the exact average of all solution for x. 
Please send your solutions to anil@lokvani.com.
Use Problem Solutions M021005
as the subject line. Please include your full name in the text of the
main message. Everyone with the right answer will be acknowledged 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 01/27/05
FOR CHILDREN
PROBLEM # 1
I am looking for a 5digit number where the sum of the ones and tens
digits is half of the tenthousands digit, the thousands digit is half
of the tenthousands digit, and the tens digit is half of the hundreds
digit. What is the number?
SOLUTION 84422 or 84631.
FOR GROWNUPS
PROBLEM # 2 Given sec(A) = 41/40 and sin(A)< 0, express cot (A  90) as a fraction in lowest terms. SOLUTION 9/40. Congratulations
to Aneesh Anand, Giridhar Anand, Anirudh Arun, Sandeep Bansal, Mahesh
Danke, Dattaraya Joshi, Nidhee Krishnan, Rohan Kulkarni, Sameer Mehta,
Hareesh Mitra, Pooja Murali, Sarthak Pani, Kunaal Patel, Rajiv
Ramaratnam, Arun Saigal, Manan Thakkar and Bharath Venkataraman, who
were winners of the last set of puzzles

You may also access this article through our website http://www.lokvani.com/

