Monday 26 November 2012

Telephone number puzzle

A person described the telephone number (of his friend) consisting of  7 digits as follows-
The initial 3 digit part is 447 more than the last 3 digits of the four digit second part,but less than the first 3 digits of the second part by 447.Find the telephone number

Thursday 1 November 2012

Harshad numbers-Rejoinder.-

I had mentioned about a Multiple Harshad Number in my previous blog .Same can be called MHN-12 as the division by the sums of the digits can be repeated 12 times.
The same is 20165 02858 57988 44661 76-The sum of the digits being 108,you get the result of division
18671 32276 46285 59872-sum now is 99 which can be used for the next division.
Proceeding repeatedly you will get the final two numbers 392 and 28.
In general  numbers of the form-10080,100800,1008000,10080000.. etc are all such multiple numberss