Contribute
| For The Mathematically Inclined |
Anil Saigal
09/10/2010
What is the smallest integer greater than 0 that can be written entirely with zeros and ones and is evenly divisible by 225 |
PROBLEM #2
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?
----------------------------------------------------------------------------------------------------------
Please send your solutions to mr.asaigal@gmail.com.
Use Problem Solutions M-091610 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 09/02/10
PROBLEM # 1
A number of children are standing in a circle. They are evenly spaced and the 6th child is directly opposite the 19th child. How many children are there altogether?
26.
PROBLEM #2
What is the area A of a cyclic quadrilateral (i.e., a simple quadrilateral that is inscribed in a circle, Fig. 1) with sides of length a, b, c, and d?
SOLUTION
A= sqrt((s-a)(s-b)(s-c)(s-d)), where s=(a+b+c+d)/2.
Congratulations to Arun Lahori, Nupur Parikh, Sudha Godhani Patel and Deepa Fernandes Prabhu, who were winners of the last set of puzzles.
|
You may also access this article through our web-site http://www.lokvani.com/
