Introduction To Problem Solving Class 11 Questions And Answers

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Teachers and Examiners (CBSESkillEduction) collaborated to create the Introduction to Problem Solving Class 11 Questions and Answers. All the important Information are taken from the NCERT Textbook Computer Science (083) class 11.

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Introduction to Problem Solving Class 11 Questions and Answers

1. Write pseudocode that reads two numbers and divide one by another and display the quotient.

Answer –

BEGIN
    PRINT "Enter the first number:"
    READ num1
    PRINT "Enter the second number:"
    READ num2
    
    IF num2 ≠ 0 THEN
        quotient ← num1 / num2
        PRINT "The quotient is:", quotient
    ELSE
        PRINT "Error: Division by zero is not allowed."
    ENDIF
END

2. Two friends decide who gets the last slice of a cake by flipping a coin five times. The first person to win three flips wins the cake. An input of 1 means player 1 wins a flip, and a 2 means player 2 wins a flip. Design an algorithm to determine who takes the cake?

Answer –

Set p1 = 0
Set p2 = 0

For i in range(5):
    Input coin
    If coin = 1 then
        p1 += 1
    Elif coin = 2 then
        p2 += 1
    
    If p1 > 2 then
        Print "Player 1 wins!"
        Exit Loop
    Elif p2 > 2 then
        Print "Player 2 wins!"
        Exit Loop

3. Write the pseudocode to print all multiples of 5 between 10 and 25 (including both 10 and 25).

Answer –

BEGIN
    FOR num := 10 TO 25 DO
        IF num % 5 = 0 THEN
            PRINT num
        ENDIF
    ENDFOR
END

4. Give an example of a loop that is to be executed a certain number of times.

Answer –

BEGIN
    FOR i := 1 TO 10 DO
        PRINT i
    ENDFOR
END

5. Suppose you are collecting money for something. You need ` 200 in all. You ask your parents, uncles and aunts as well as grandparents. Different people may give either ` 10, ` 20 or even ` 50. You will collect till the total becomes 200. Write the algorithm.

Answer –

Step 1: Start
Step 2: Set money := 0
Step 3: WHILE money < 200 DO
    Step 3.1: INPUT input_money
    Step 3.2: money = money + input_money
Step 4: END WHILE
Step 5: PRINT "Total ₹200 collected!"
Step 6: Stop

6. Write the pseudocode to print the bill depending upon the price and quantity of an item. Also print Bill GST, which is the bill after adding 5% of tax in the total bill.

Answer –

BEGIN
    INPUT item_name
    INPUT price
    INPUT quantity
    
    CALCULATE bill := price * quantity
    PRINT "Total Bill:", bill
    
    CALCULATE tax := bill * (5 / 100)
    CALCULATE GST_Bill := bill + tax
    
    PRINT "Bill with GST (5%):", GST_Bill
END

7. Write pseudocode that will perform the following:
a) Read the marks of three subjects: Computer Science, Mathematics and Physics, out of 100
b) Calculate the aggregate marks
c) Calculate the percentage of marks

Answer –

BEGIN
    INPUT computer, maths, phy
    COMPUTE aggregate := computer + maths + phy
    COMPUTE percentage := (aggregate / 300) * 100
    PRINT "Aggregate Marks:", aggregate
    PRINT "Percentage:", percentage
END

8. Write an algorithm to find the greatest among two different numbers entered by the user.

Answer –

BEGIN
    INPUT num1, num2
    IF num1 > num2 THEN
        PRINT "The greater number is:", num1
    ELSE IF num2 > num1 THEN
        PRINT "The greater number is:", num2
    ELSE
        PRINT "Both numbers are equal."
    ENDIF
END

9. Write an algorithm that performs the following: Ask a user to enter a number. If the number is between 5 and 15, write the word GREEN. If the number is between 15 and 25, write the word BLUE. if the number is between 25 and 35, write the word ORANGE. If it is any other number, write that ALL COLOURS ARE BEAUTIFUL.

Answer –

BEGIN
    INPUT num
    IF num >= 5 AND num < 15 THEN
        PRINT "GREEN"
    ELSE IF num >= 15 AND num < 25 THEN
        PRINT "BLUE"
    ELSE IF num >= 25 AND num < 35 THEN
        PRINT "ORANGE"
    ELSE
        PRINT "ALL COLOURS ARE BEAUTIFUL"
    ENDIF
END

10. Write an algorithm that accepts four numbers as input and find the largest and smallest of them.

Answer –

BEGIN
    INPUT num1, num2, num3, num4
    SET max := num1
    SET min := num1

    FOR each num in {num2, num3, num4} DO
        IF num > max THEN
            SET max := num
        ENDIF
        
        IF num < min THEN
            SET min := num
        ENDIF
    ENDFOR

    PRINT "Largest number:", max
    PRINT "Smallest number:", min
END

11. Write an algorithm to display the total water bill charges of the month depending upon the number of units consumed by the customer as per the following criteria:

for the first 100 units @ 5 per unit
for next 150 units @ 10 per unit
more than 250 units @ 20 per unit

Also add meter charges of 75 per month to calculate the total water bill .

Answer –

BEGIN
    INPUT units
    SET bill := 0
    
    IF units > 250 THEN
        CALCULATE bill := (100 * 5) + (150 * 10) + ((units - 250) * 20)
    ELSE IF units > 100 THEN
        CALCULATE bill := (100 * 5) + ((units - 100) * 10)
    ELSE
        CALCULATE bill := units * 5
    ENDIF
    
    CALCULATE totalBill := bill + 75
    PRINT "Total Water Bill:", totalBill
END

12. What are conditionals? When they are required in a program?

Answer – Conditionals are used when programs need to make decisions; they help to check if the input given is valid or not. It also helps to execute specific actions based on user choice, for example, checking even or odd.

14. Following is an algorithm for going to school or college. Can you suggest improvements in this to include other options?
Reach_School_Algorithm
a) Wake up
b) Get ready
c) Take lunch box
d) Take bus
e) Get off the bus
f) Reach school or college

Answer –

Reach_School_Algorithm
a) Wake up  
b) Brush your teeth  
c) Take bath  
d) Dress up  
e) Eat breakfast  
f) Pack your school bag  
g) Take lunch box  
h) Choose transport option:
    - IF using bus THEN take the bus  
    - ELSE IF walking THEN start walking  
    - ELSE IF cycling THEN ride your bicycle  
    - ELSE IF using carpool THEN get in the car  
i) Travel to school or college  
j) Reach school or college

15. Write a pseudocode to calculate the factorial of a number (Hint: Factorial of 5, written as 5!=5 4 3 21 ×××× ).

Answer –

BEGIN
    INPUT num
    SET fact := 1
    SET i := 2

    WHILE i <= num DO
        CALCULATE fact := fact * i
        INCREASE i by 1
    ENDWHILE

    PRINT "Factorial of", num, "is:", fact
END

16. Draw a flowchart to check whether a given number is an Armstrong number. An Armstrong number of three digits is an integer such that the sum of the cubes of its digits is equal to the number itself. For example, 371 is an Armstrong number since 3**3 + 7**3 + 1**3 = 371.

Answer –

17. Following is an algorithm to classify numbers as “Single Digit”, “Double Digit” or “Big”.

Classify_Numbers_Algo
INPUT Number
IF Number < 9
 "Single Digit"
Else If Number < 99
 "Double Digit"
Else
 "Big"

Verify for (5, 9, 47, 99, 100 200) and correct the algorithm if required

Answer –

INPUT Number
IF Number <= 9 THEN
    PRINT "Single Digit"
ELSE IF Number <= 99 THEN
    PRINT "Double Digit"
ELSE
    PRINT "Big"
ENDIF

18. For some calculations, we want an algorithm that accepts only positive integers upto 100.

Answer –

BEGIN
    INPUT number
    IF (number > 0) AND (number <= 100) AND (number is an integer) THEN
        ACCEPT
    ELSE
        REJECT
    ENDIF
END

Computer Science Class 11 Questions and Answers

Computer Systems and Organisation
Introduction to problem solving
Getting Started with Python
Flow of Control statements in Python
String in Python
Lists in Python
Tuples and Dictionary in Python
Society, Law and Ethics

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Introduction to Problem Solving Class 11 Questions and Answers

Computer Science Class 11 Questions and Answers

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