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For The Mathematically Inclined


Anil Saigal 02/18/2005
FOR CHILDREN
PROBLEM # 1 A
number is called a pretty number if it has exactly 3 different whole
number factors. For example, the factors of 4 are 1, 2, and 4 since 1 x
4 =4 and 2 x 2 = 4. The factor 2 is not counted twice. What is the sum
of all the pretty numbers between 0 and 50? FOR GROWNUPS PROBLEM # 2 A
video tape can record two hours on short play (SP), four hour on long
play (LP) and six hours on extra long play (ELP). After recording 32
minutes on SP and 44 minutes on LP, how many minutes can it record on
ELP? 
Please send your solutions to anil@lokvani.com.
Use Problem Solutions M022405
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 02/10/05
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? SOLUTION 45.
FOR GROWNUPS
PROBLEM # 2 If cos(10x) + cos(5x) = 0, 0< x < 2.2 pi, find the exact average of all solution for x. SOLUTION Cos(5x) = 1/2 or 1, so 5x = (1/3, 1, 5/3)pi, so average 5x=pi and average x=pi/5. Congratulations to Sandeep
Bansal, Mahesh Danke, Srikanth Gopalan, Nidhee Krishnan, Swathi
Krishnan, Hareesh Mehta, Mahesh Murali, Sarthak Pani, Preeti Rangaraj,
Arun Saigal, Neha Sharma, Ramya Tammisetti and Manan Thakkar, who were winners of the last set of puzzles

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