Contribute
| For The Mathematically Inclined |
Anil Saigal
02/11/2013
PROBLEM #1
An ant and a blind spider are on opposite corners of a cube. The ant is stationary and the spider moves at random from one corner to another along the edges only. What is the expected number of turns before the spider reaches the ant?
PROBLEM #2
What is the mean distance between two random points in a unit square?
Please send your solutions to mr.asaigal@gmail.com.
Use Problem Solutions M-021413 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 01/31/13
PROBLEM #1
What 5-digit number has the following features:
If we put the numeral 1 at the beginning, we get a number three times smaller than if we put the numeral 1 at the end of the number.
SOLUTION 1
42857.
If we put the numeral 1 at the beginning, we get a number three times smaller than if we put the numeral 1 at the end of the number.
SOLUTION 1
42857.
PROBLEM #2
There is one four-digit whole number n, such that the last four digits of n2 are in fact the original number n.
SOLUTION 2
SOLUTION 2
|
You may also access this article through our web-site http://www.lokvani.com/
