NPTEL Programming, Data Structures and Algorithms using Python Week 1 Assignment Answers 2024

NPTEL Programming, Data Structures and Algorithms using Python Week 1 Assignment Answers 2024

1. What does h(27993) return for the following function definition?

def h(x):
    (d,n) = (1,0)
    while d <= x:
        (d,n) = (d*3,n+1)
    return(n)

Answer :- 10

2. What is g(60) – g(48), given the definition of g below?

def g(n): 
    s=0
    for i in range(2,n):
        if n%i == 0:
           s = s+1
    return(s)

Answer :- 2

3. Consider the following function f.

def f(n): 
    s=0
    for i in range(1,n+1):
        if n//i == i and n%i == 0:
           s = 1
    return(s%2 == 1)

The function f(n) given above returns True for a positive number n if and only if:

• n is an odd number.
• n is a prime number.
• n is a perfect square.
• n is a composite number.

Answer :- Click Here

4. Consider the following function foo.

def foo(m):
    if m == 0:
      return(0)
    else:
      return(m+foo(m-1))

Which of the following is correct?

• The function always terminates with foo(n) = factorial of n
• The function always terminates with foo(n) = n(n+1)/2
• The function terminates for non­negative n with foo(n) = factorial of n
• The function terminates for non­negative n with foo(n) = n(n+1)/2

Answer :- Click Here