Python Mathematics: Arithmetic Exercises

Exercise 64 ||  Solution

Write two Python functions  quotient() and remainder() which takes two numbers a and b as parameters such that :

1. The function quotient() return the quotient q of the Euclidean division of a by b (without using the operator '//' ) 
2. The function remainder() return the Euclidean division of a by b (without using the operator '%'

Exercise 65 || Solution

Write a function in Python which takes as argument a tuple (a, b) composed of two integers and returns it the greatest common divisor GCD of a and b without using any predefined function in python.

Exercise 66 || Solution

Write a function in Python which takes as argument a tuple (a, b) composed of two integers and returns it the least common multiple LCM of a and b without using any predefined function in python.

Exercise 67 || Solution

Write a function in Python which takes as argument an integer n and which returns True if the number n is prim and False if n is not prim without using any predefined function.

Exercise 68 || Solution

Exercise 72  || Solution

Write an algorithm as python function which takes as parameters an integer n and which returns the last digit of n.

Exercise 73  || Solution

Write an algorithm as a python function that takes as parameters an integer n and which returns the list of divisors d whose last digit is equal to 1. Test your algorithm for n = 727821.

Exercise 80 || Solution

Write an algorithm in Python as a function which takes two numbers m and n as parameters (m < n) and which returns a list formed of all the prime numbers between m and n. Example for m = 10 and n = 20 the function must return

[11, 13, 17, 19]

Exercise 81 || Solution

Create a Python algorithm that calculates the number of ways to pay 10 Euros, using the 1 Euro, 2 Euro and 5 Euro coins.