About Us Contact Us Help




For The Mathematically Inclined

Anil Saigal

Haretown and Tortoiseville are 70 miles apart. A hare travels at 8 miles per hour from Haretown to Tortoiseville, while a tortoise travels at 2 miles per hour from Tortoiseville to Haretown. If both set out at the same time, how many miles will the hare have to travel before meeting the tortoise en route?

A cylinder 75 cm high has a circumference of 20 cm (Fig. 1). A string makes exactly 5 complete turns round the cylinder while its two ends touch the cylinder's top and bottom. How long is the string in cm?


Please send your solutions to mr.asaigal@gmail.com.

Use Problem Solutions M-062410 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 06/10/10


Man Wrinkle spent one-fourth of his life as a boy, one-eighth as a youth, and one-half as an active man. If Man Wrinkle spent 12 years as an old man, then how many years did he spend as an active man?


48 years.


In Fig. 1 consider 25 lines drawn at a tangent

to an ellipse. The lines break up the plane into several regions, some bounded (i.e., enclosed) and others unbounded. How many unbounded regions are there?



Congratulations to
Kishore Balsara, Sitaram Chandawarkar, Akshay Gowrishankar, Ranganath Nayak and Sandeep Shankar, who were winners of the last set of puzzles.

Bookmark and Share |

You may also access this article through our web-site http://www.lokvani.com/

Fig. 1

Home | About Us | Contact Us | Copyrights Help