Puzzle PETA

Participate, Learn, Solve and Be Part of Exzeo

Looking for dynamic, aspiring and self motivated developer to be part of Exzeo Team

We have some exiting puzzles for all you interesting people out there to tease your brain !!!

All below puzzles are mandatory to solved to participate. Developers can write a simple Console Application to showcase the solutions

Problem 1:

A perfect number is a number for which the sum of its proper divisors is exactly equal to the number. For example, the sum of the proper divisors of 28 would be 1 + 2 + 4 + 7 + 14 = 28, which means that 28 is a perfect number.

Write a Program that tells about a Number is Perfect Number or not?

Problem 2:

Take reference of file "names.txt" which is committed in repository itself, There are over five-thousand first names. Read this file into your program and sort them by alphabetical order. You have to figure out value for each name. How to calculate the value is as follows:

1. Get the sum of place value of each character(a=1,b=2,etc.).
2. Multiply this value by its alphabetical position in the list to obtain a name score.

For example, when the list is sorted into alphabetical order, ADDY, which is worth 1 + 4 + 4 + 25 = 35, is the 100th name in the list. So ADDY would obtain a score of 35 × 100 = 3500.

What is the total of all the name scores in the file?

Problem 3:

Find the smallest x + y + z with integers x > y > z > 0 such that x + y, x − y, x + z, x − z, y + z, y − z are all perfect squares.

So what you have to do once you have your inspiring and excellent solution with you.

1. Fork the repository from your GitHub account.
2. Push the code related to solution into Forked repository. You can let us know though email: adityap@exzeo.com once you are done with your solution. You can let us know that feedback should be published on Github or you can let us know your email address where we can send your feedback that will be private to you.

We will get back to you once your solution is verified.