Basic Python Programmes

Basic Programmes

Write a python program to comment on the the solution ofthe quadriatic equation. Assume \(a\) as the coefficient of \(x^2\), \(b\) as the coefficient of \(x\) and \(c\) as constant of the quadraitic equation \(ax^2+bx+c=0\)

a=1
b=-8
c=36
descriminant=b**2-4*a*c
print(descriminant)

## -80

# If descriminant is greater than zero, roots are real and distinct. if descriminat is zero, roots are real and same. In other way roots are imaginary.

if (descriminant == 0):
  print("Roots are equal")
elif (descriminant>0):
  print("Roots are distinct and Real")
else:
  print("Roots are imaginary")

## Roots are imaginary

print("Program is executed")

## Program is executed

Write a Python program to print the letters of the word ‘STATISTICS’

for i in 'STATISTICS':
  print(i)

## S
## T
## A
## T
## I
## S
## T
## I
## C
## S

Write a Python program to print the letters of the word ‘STATISTICS’ as list.

letters=[]
for i in 'STATISTICS':
  letters.append(i)
print(letters)

## ['S', 'T', 'A', 'T', 'I', 'S', 'T', 'I', 'C', 'S']

Write a Python program to print the distinct letters of the word ‘STATISTICS’ as list.

letters=[]
for i in 'STATISTICS':
  if i in letters:
    continue
  else:
    letters.append(i)
print(letters)

## ['S', 'T', 'A', 'I', 'C']

Write a Python program to print the distinct consonants of the word ‘STATISTICS’ as list.

letters=[]
vowels=['a','e','i','o','u']
vowelsUpper=[i.upper() for i in vowels]
print(vowelsUpper)

## ['A', 'E', 'I', 'O', 'U']

for i in 'STATISTICS':
  if i in letters or i in vowelsUpper:
    continue
  else:
    letters.append(i)
print(letters)

## ['S', 'T', 'C']

Write a python program to generate a list of numbers which are in aritmentic progression

list(range(1,45,3))

## [1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43]

Write a Python program to print, seperated by comma, integers between two numbers \(a\) and \(b\)

a=100
b=120
if a>b:
  c=a
  a=b
  b=c
for i in range(a,b):
  print(i,end=",")

## 100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,

Write a Python program to print numbers between two numbers which are divisible by 17

a=100
b=200
d=17
for i in range(100,200):
  if (i%d==0):
    print(i)

## 102
## 119
## 136
## 153
## 170
## 187

Write a Python program to find the number of multiples of 17 between two numbers

a=100
b=200
d=17
count=0
for i in range(100,200):
  if (i%d==0):
    count=count+1
print("Number of multiples of {0} between {1} and {2} is {3}".format(d,a,b,count))

## Number of multiples of 17 between 100 and 200 is 6

Write a Python program to reverse the given number

n=153
rev=0
a=n
while (a>0):
  rev=rev*10+(a%10)
  a=a//10
print("Revered number is ",rev)

## Revered number is  351

Alternatively we can use number as string for this

number='34456'
rev=number[::-1]
print(rev)

## 65443

Verify whether sum of first 100 natural numbers follow the formula \(\dfrac{n(n+1)}{2}\)

sum=0
a=100
for i in range(1,a+1):
  sum=sum+i
print(sum)

## 5050

if (sum==a*(a+1)/2):
  print("The formula for sum of first n natural numbers is n(n+1)/2")
else:
  print("The formula is false")

## The formula for sum of first n natural numbers is n(n+1)/2

Verify whether the sum of squares of first 100 natural numbers is \(\dfrac{n(n+1)(2n+1)}{6}\)
Find the sum of even numbers from 107 to 20017

a=107
b=20017
if (a%2==0):
  first=a
else:
  first=a+1
#since the upper boond of the range is not included in the list, we will give the last number as b+1. If b is even, we will get b in the list as we give b+1 as upper limit for range. If B is odd, we will b+1 will not be included as it is upper bound of the range function
sum=0
for i in range (first,b,2):
  sum=sum+i
print("Sum of even numbers between {} and {} is {}".format(a,b,sum))

## Sum of even numbers between 107 and 20017 is 100167210

Find the sum of odd numbers from 107 to 20017
Write a python program to test whether a given number is odd or even.

n=12345
if n%2==1:
  print("Given number {} is odd".format(n))
else:
  print("Given number {} is even".format(n))

## Given number 12345 is odd

Write a python program to find the maximum of two numbers

a=16
b=26
if (a>=b):
  print("{} is lerger than {}".format(a,b))
else:
  print("{} is lerger than {}".format(b,a))

## 26 is lerger than 16

Write a Python program to find the maximum of three numbers

a=67
b=45
c=78
#we assume first value as the maximum
maxim=a
#Then we compare it with b. if b is greater than we replace max with b
if(maxim<b):
  maxim=b
#now we compare with c
if(maxim<c):
  maxim=c
print("Largest among {},{},{} is {}".format(a,b,c,maxim))

## Largest among 67,45,78 is 78

Write a Python program to check whether given number is a Buzz Number. A number is said to be Buzz Number if it ends with 7 or is divisible by 7. Example: 437 is a Buzz Number and 14 is a Buzz Number.

number=57
if (number%10==7 or number%7==0):
  print("The given number {} is a Buzz number".format(number))
else:
  print("The given number {} is NOT a Buzz number".format(number))

## The given number 57 is a Buzz number

Write a Python program to check whether a given number is a duck number. A Duck number is a positive integer that contains at least one zero, except for those with starting zeros. For examples include 170,106, and 2223456702334. Numbers like 045 or 0010 are not Duck Numbers

k='12454607878'
if (int(k)>0):
    klist=list(k)
    if '0' in klist and int(klist[0])>0:
      print("The given number {} is a duck number".format(k))
    else:
      print("The given number {} is NOT a duck number".format(k))
else:
    print("Invalid Number")

## The given number 12454607878 is a duck number

Write a Python program to check whether a given number is Neon number. A neon number is a number where the sum of digits of square of the number is equal to the number. For example if the input number is 9, its square is 9*9 = 81 and sum of the digits is 9. i.e. 9 is a neon number.
A Harshad number is a number which is divisible by sum of its digits. Write a Python Program to check whether given number is a Harshad number.

def HarshadNum(n):
  if (n>0 and n==int(n)):
    sum=0
    a=n
    while (a>0):
      sum=sum+a%10
      a=a//10
    if n%sum==0:
      print("Given Number {} is a Harshad number".format(n))
    else:
      print("Given Number {} is NOT a Harshad number".format(n))
  else:
    print("Please enter a positive integer")

Now we shall try the function for different values

HarshadNum(6)

## Given Number 6 is a Harshad number

HarshadNum(12)

## Given Number 12 is a Harshad number

HarshadNum(13)

## Given Number 13 is NOT a Harshad number

HarshadNum(34.58)

## Please enter a positive integer

A spy number is a number for which the sum of its digits equals the product of its digits. Consider number 1124, the product and the sum of the digits is 8. Write a Python function to check whether given number is a spy number.

def spyNumber(n):
  if(n>0 and n==int(n)):
    sum=0
    prod=1
    a=n
    while(a>0):
      sum=sum+a%10
      prod=prod*a%10
      a=a//10
    if (sum==prod):
      print("Given Number {} is a spy number".format(n))
    else: 
      print("Given Number {} is NOT a spy number".format(n))
  else:
    print("Please enter a positive integer")

spyNumber(128)

## Given Number 128 is NOT a spy number

spyNumber(1124)

## Given Number 1124 is a spy number

spyNumber(123.25)

## Please enter a positive integer

spyNumber(-456)

## Please enter a positive integer

22.Write a python program to check whether any digit is repeated in the number.

Basic Python Programmes

Deaprtment of Statistics, B.C.M. College, Kottayam

20 August, 2024

Basic Programmes