Week-1, Graded
This document has 9 questions.
Question-1
Statement
What is the type of the following expression?
1 + 4 / 2Options
(a) int
(b) float
(c) str
(d) bool
Answer
(b)
Hint
The division operation always results in a float value, irrespective of the type of either operand. As a follow-up, execute the following statements in the interpreter to get a better idea of the difference between the division operator (/) and the floor-division operator (//):
print(4 / 2)
print(4 // 2)Question-2
Statement
What is the type of the following expression?
(1 > 0) and (-1 < 0) and (1 == 1)Options
(a) str
(b) bool
(c) True
(d) False
Answer
(b)
Hint
Each comparison operation returns a Boolean value. These values are tied together by logical operators. Hence, the final outcome is a Boolean value.
Question-3
Statement
Convert the following mathematical statement into a Python expression.
10^3 + 9^3 = 12^3 + 1^3 = 1729Options
(a)
(10^3) + (9^3) == (12^3) + (1^3) == 1729(b)
(10 ** 3) + (9 ** 3) = (12 ** 3) + (1 ** 3) = 1729(c)
(10 power 3) + (9 power 3) == (12 power 3) + (1 power 3) == 1729(d)
(10 ** 3) + (9 ** 3) == (12 ** 3) + (1 ** 3) == 1729Answer
(d)
Hint
** is the exponentiation operator. = is the assignment operator and should not be confused with == which is the equality operator.
Question-4
Statement
E_1 and E_2 are Boolean values. Consider the following expression.
E_3 = not (E_1 or E_2)
E_4 = (not E_1) and (not E_2)
print(E_3 == E_4)What can you say about the value printed by the code given above?
Options
(a) It is True if and only if both E_1 and E_2 have the same value.
(b) It is False if and only if both E_1 and E_2 have the same value.
(c) It is always True.
(d) It is always False.
Answer
(c)
Hint
The idea here is to try out all possible combinations of values for the pair of variables (E_1, E_2). These combinations are:
| E_1 | E_2 |
|---|---|
| True | True |
| True | False |
| False | True |
| False | False |
For those interested in knowing more about the expression, check out De Morgan's law.
Question-5
Statement
E is a boolean variable. Consider the following sequence of expressions:
not E
not not E
not not not E
not not not not E
.
.
.This pattern keeps repeating for a thousand lines. If line number 500 evaluates to False, what is the value of E?
Options
(a) True
(b) False
(c) Cannot be determined
Answer
(b)
Hint
Two negatives make a positive. You should be able to figure out the explanation from here.
Common Data for Questions 6, 7
Statement
Common Data for questions (6) and (7)
Consider the following string:
word = '138412345678901938'For what values of a and b does the following expression evaluate to True? Assume that both a and b are positive integers.
word[a : b] == '123456789'Hint
Slice the string in such a way that you get the required substring.
Question-6
Statement
Enter the value of a. (NAT)
Answer
4
Question-7
Statement
Enter the value of b.
Answer
13