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For The Mathematically Inclined

Anil Saigal
12/22/2017

Problem 1

For a given volume, what should be the value of h/d such that a cylinder has the minimum total surface area including all surfaces.

Problem 2
In a 3x4 array, how many different squares can be drawn?

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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-122117 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. 

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Problems from 12/07/17


Problem 1
A bus traveling at an average rate of 50 kilometers per hour made the trip to town in 6 hours. If it had traveled at 45 kilometers per hour, how many more minutes would it have taken to make the trip?

(40 minutes)

Problem 2
A bus and a car leave the same place and traveled in towards north and east respectively . If the bus is traveling at 50 mph and the car is traveling at 55 mph, in how many hours will they be 210 miles apart?

(2.825 hours)


Congratulations to Ramachandran Balakrishna and Avanish Gowrishankar, who were the winners of the last set of puzzles.



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