## Description

Problem 1. Analyze the following code. If you (hypothetically) check the condition count < 100 at
the positions in the code designated as # Point A, # Point B, and # Point C, will the condition
evaluate to always True, always False, or sometimes True and sometimes False? Give your answer
for all the three positions. [10 points]
count = 0
while count < 100:
# Point A
print("Programming is fun!")
count += 1
# Point B
# Point C
Problem 2. How many times does the body of the while loop repeat? What is the output of each
loop? [10 points]
i = 1
while i < 10:
if i % 2 == 0:
print(i)
i += 1
Problem 3. Write a python script that prompts the user to enter an integer and checks whether
the number is divisible by both 5 and 6, divisible by either 5 or 6 (not both), or not divisible by 5
and 6. [15 points]
Sample program output I:
Enter an integer: 10
10 is divisible by either 5 or 6
Sample program output II:
Enter an integer: 30
30 is divisible by both 5 and 6
Sample program output III:
Enter an integer: 14
14 is not divisible by either 5 or 6
CMPSC 101 Instructor: Dr. Mahfuza Farooque
Introduction to Programming in Python Fall 2016
Problem 4. Write a python script to print the following table to display the sin value and cos value
of degrees from 0 to 360 with increments of 10 degrees (the table displayed below has been
shortened for space reasons, however your program should generate the complete table). Round
the valuesto four decimal point precision and format the columns so that they are nicely aligned.
Do not use any looping structure other than while. [Hint: Use the trigonometric functions in the
math module to calculate the sin and cos values.] [25 points]
Deg. Sin Cos
0 0.0000 1.0000
10 0.1736 0.9848
…
350 -0.1736 0.9848
360 0.0000 1.0000
Problem 5. Write a python script that prompts the user to enter the month number and year and
displays the number of days in the month. You need to do the proper leap year calculations based
on the year. [25 points]
Sample program output I:
Enter month: 3
Enter year: 2005
March 2005 has 31 days
Sample program output II:
Enter month: 2
Enter year: 2000
February 2000 has 29 days
Problem 6. Write a python script that prompts the user to enter the number of students and
each student’s score, and displays the highest score along with the student’s name. Do not use
any looping structure other than while. [25 points]
Sample program output:
Enter number of students: 3
Enter student #1 name: Peter
Enter student #1 score: 90
Enter student #2 name: Janet
Enter student #2 score: 98
Enter student #3 name: Jack
Enter student #3 score: 85
Top student: Janet
Score: 98
CMPSC 101 Instructor: Dr. Mahfuza Farooque
Introduction to Programming in Python Fall 2016
Problem 7. Write a python script that lets the user guess whether a randomly flipped coin
displays head or tail. The program randomly generates an integer 0 or 1, which represents head
or tail respectively. The program prompts the user to enter a guess value (0 or 1) and reports
whether the guess is correct or incorrect. [25 points]
Sample program output I (computer guesses Tail):
Enter 0 for Head and 1 for Tail: 0
Sorry, it is a tail.
Sample program output II (computer guesses Head):
Enter 0 for Head and 1 for Tail: 0
You guessed correctly!
Sample program output III (computer guesses Head):
Enter 0 for Head and 1 for Tail: 1
Sorry, it is a head.
Problem 8. Write a python script to calculates a person’s body mass index (BMI). The BMI is often
used to determine whether a person is overweight or underweight for his or her height. BMI is
calculated with the following formula:
𝐵𝑀𝐼 =
𝑤𝑒𝑖𝑔ℎ𝑡
(ℎ𝑒𝑖𝑔ℎ𝑡)
2
× 703
Weight is measured in pounds (lb) and height is measured in inches (in). The program should ask
the user to enter his or her weight and height and then display the user’s BMI. The program
should also display a message indicating whether the person has optimal weight, is underweight,
or is overweight based on the given table. [15 points]
BMI > 25 Overweight

18.5 <= BMI <= 25 Normal
BMI < 18.5 Underweight
Sample program output:
Enter weight (lb): 134
Enter height (in): 66
BMI: 21.62
You are normal.