Introduction to Problem Solving Class 11 CS NCERT Solution

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Q1. Write pseudocode that reads two numbers and divide one by another and display the quotient.


Q2. 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?


Q3. Write the pseudocode to print all multiples of 5 between 10 and 25 (including both 10 and 25).


Q4. Give an example of a loop that is to be executed a certain number of times.


Q5. Suppose you are collecting money for something. You need rs 200 in all. You ask your parents, uncles and aunts as well as grandparents. Different people may give either rs 10, rs 20 or even rs 50. You will collect till the total becomes 200. Write the algorithm.


Q6. 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.


Q7. 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


Q8. Write an algorithm to find the greatest among two different numbers entered by the user.


Q9. 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.


Q10. Write an algorithm that accepts four numbers as input and find the largest and smallest of
them.


Q11. 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 .


Q12. What are conditionals? When they are required in a program?


Q14. 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


Q15. Write a pseudocode to calculate the factorial of a number (Hint: Factorial of 5, written as 5! = 5 X 4 X 3 X 2 x 1 ) .


Q16. 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.


Q17. 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.


Q18. For some calculations, we want an algorithm that accepts only positive integers upto 100.

Accept_1to100_Algo
INPUT Number
IF (0<= Number) AND (Number <= 100)
   ACCEPT
Else
   REJECT

a) On what values will this algorithm fail?
b) Can you improve the algorithm?