Programming, Data Structures And Algorithms Using Python Week 1 NPTEL Assignment Answers 2025

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✅ Subject: Programming, Data Structures And Algorithms Using Python (nptel programming, DSA using python answers)
📅 Week: 1
🎯 Session: NPTEL 2025 July-October
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Programming, Data Structures And Algorithms Using Python Week 1 NPTEL Assignment Answers 2025

1. What is the value of g(728) for the function below?

def g(y):
b = 0
while y >= 3:
(y,b) = (y/3,b+1)
return(b)

Answer : 5

2. What is f(90)-f(89), given the definition of f below?

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

Answer : 5

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3. Consider the following function h.

def h(n):
s = True
for i in range(1,n+1):
if i*i == n:
s = False
return(s)

The function h(n) given above returns False 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 : For Answers 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 : For Answers Click Here 

NPTEL Programming Data Structures And Algorithms Using Python Week 1 Assignment Answers 2024

Q1. What does f(27182818) return, for the following function definition?

def f(x):
  d=0
  while x > 1:
    (x,d) = (x/2,d+1)
  return(d)

Answer:- 25

Q2. What is h(60)-h(45), given the definition of h below?

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

Answer:- 75

Q3. For what value of n would g(375,n) return 4?

def g(m,n):
    res = 0
    while m >= n:
        (res,m) = (res+1,m/n)
    return(res)

Answer:- 4

Q4. Consider the following function mys:

def mys(m):
    if m == 1:
        return(1)
    else:
        return(m*mys(m-1))

Which of the following is correct?

The function always terminates with mys(n) = factorial of n
The function always terminates with mys(n) = 1+2+…+n
The function terminates for non-negative n with mys(n) = factorial of n
The function terminates for positive n with mys(n) = factorial of n

Answer:- d