Exercise 3.2 Full Solution | Class 9 Maths | New Punjab TextBook 2025
These questions are according to the Punjab new book of Maths 9th Class. 📌 Topics Covered in Chapter 3: ✔️ Sets and Functions ✔️ Three ways to describe a set (descriptive form, tabular form, set builder method) ✔️ Types of sets and their operations ✔️ Principle of Inclusion and Exclusion of two and three sets ✔️ Binary relations and their functions 🔴 Jump to Your Required Question Using Time Stamps: ⏩ 00:00:20 – Q1: Consider the universal set U={2,4,6,8,...,30}, A={6,12,18,24,30} and B={8,16,24} (i) List all elements of sets A and B in tabular form (ii) Find A∩B (iii) Draw a Venn diagram ⏩ 00:05:15 – Q2: Let U = 1,2,3,4,....,150}, G = {2,4,8,16,32,64,128} and H = {1,4,9,16,25,36,49,64,81,100,121,144} (i) List all elements of sets G and H in tabular for (ii) Find G ∪ H (iii) Find G ∩ H ⏩ 00:10:35 – Q3: Consider the sets P={2,3,5,7,11,13,17,19}, Q={1,2,3,5,6,7,10,14,15 } (i) Find P ∪ Q (ii) Find P ∩ Q ⏩ 00:15:20 – Q4: Verify the commutative properties of union and intersection for the following pairs of sets: (i) A={1,2,3,4,5}, B={4,6,8,10} (ii) N, Z (iii) A={0,1,2,3,4,.....}, B=R ⏩ 00:27:38 – Q5: Consider the universal set U={a,b,c,d,e,f,g,h,i,j}, A={a,b,c,d,g,h} and B={c,d,e,f,j} Verify De Morgan's Laws of these sets Draw a Venn diagram ⏩ 00:39:20 – Q6: If U = {1,2,3,...,20}, A = {1,3,5,...,19}, verify the following: (i) A∪A'=U (ii) A∩U=A (iii) A∩A'={} ⏩ 00:44:10 – Q7: In a class of 55 students, 34 like to play cricket and 30 like to play hockey. Also, each student likes to play at least one of the two games. How many students like to play both games? ⏩ 00:46:58 – Q8: In a group of 500 employees, 250 can speak Urdu, 150 can speak English, 50 can speak Punjabi, 40 can speak Urdu and English, 30 can speak both English and Punjabi, and 10 can speak Urdu and Punjabi. How many can speak all three languages? ⏩ 00:52:30 – Q9: In sports events, 19 people wear blue shirts, 15 wear green shirts, 3 wear blue and green shirts, 4 wear a cap and blue shirts, and 2 wear a cap and green shirts. The total number of people with either a blue or green shirt or cap is 25. How many people are wearing caps? ⏩ 00:59:12 – Q10: In a training session, 17 participants have laptops, 11 have tablets, 9 have laptops and tablets, 6 have laptops and books, and 4 have both tablets and books. Eight participants have all three items. The total number of participants with laptops, tablets, or books is 35. How many participants have books? ⏩ 01:03:23 – Q11:A shopping mall has 150 employees labelled 1 to 150, representing the Universal set U. The employees fall into the following categories: Set A: 40 employees with a salary range of 30k-45k, labelled from 50 to 89. Set B: 50 employees with a salary range of 50k-80k, labelled from 101 to 150. Set C: 60 employees with a salary range of 100k-150k, labelled from 1 to 49 and 90 to 100. (a) Find (A' ∪ B') ∩ C (b) Find n{A ∩ (B' ∩ C')} ⏩ 01:15:15 – Q12: In a secondary school with 125 students participate in at least one of the following sports: cricket, football, or hockey. 60 students play cricket. 70 students play football. 40 students play hockey. 25 students play both cricket and football. 15 students play both football and hockey. 10 students play both cricket and hockey. (a) How many students play all three sports? (b) Draw a Venn diagram showing the distribution of sports participation in all the games. ⏩ 01:21:48 – Q13: A survey was conducted in which 130 people were asked about their favourite foods. The survey results showed the following information: 40 people said they liked nihari 65 people said they liked biryani 50 people said they liked korma 20 people said they liked nihari and biryani 35 people said they liked biryani and korma 27 people said they liked nihari and korma 12 people said they liked all three foods nihari, biryani, and korma (a) At least how many people like nihari, biryani or korma? (b) How many people did not like nihari, biryani, or korma? (c) How many people like only one of the following foods: nihari, biryani, or korma? (d) Draw a Venn diagram. ✨ Why Watch This Video? ✔️ Complete Concept Explanation—No doubts left unanswered! ✔️ Time Codes for Easy Navigation—Jump directly to any question ✔️ Best for Self-Study & Exam Preparation – Covers all possible doubts ✔️ Step-by-Step Solutions—Ensuring 100% clarity 💡 Don't Forget to: ✅ LIKE this video if it helped you! ✅ SHARE with friends who need help in Class 9 Mathematics ✅ SUBSCRIBE to AhsaDotPk for more detailed explanations! 🔔 Turn on notifications so you never miss a new video! #Class9Math #AhsaDotPk #exercise3_2 #MathSolution #NewMathBook2025 #SSCMath #MathConcepts #set #function #punjabtextbookboard
