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NPTEL Programming, Data Structures and Algorithms using Python Assignment Answers 2024 (July-October)
    About Lesson

    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 :- c

    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 :- d
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