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For The Mathematically Inclined

Anil Saigal

Problem 1:
How many different flags can be made from colors purple, yellow, red, white, blue, green, orange so that each flag consisted of three different colors?

Problem 2:
In rectangle with sides 3 and 10 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than to any side of the rectangle?


Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-102518 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. 

Problems from 10/11/18

Problem 1:
How  many kilograms of iron  is needed for production 50 pieces of  hollow pipes with the inner and outer diameters of 12 and 16 cms and length of 4 m? Assume the density of iron used is 7800kg/m3.

Problem 2:
From an iron cube of edge 37 cm,a maximum cylinder is lathed. Hom mmany kilograms of iron is wasted? Assume the density of iron used is 7800kg/m3.

Congratulations to Ramachandran Balakrishna who was the winner of the last set of puzzles.

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