Find the best tutors and institutes for Class 11 Tuition
Sets EXERCISE 1.4 Solutions
- Q1(i): Find the union of each of the following pairs of sets : (i) $X = \{1, 3, 5\} Y = \{1, 2, 3\}$
- Q1(ii): Find the union of each of the following pairs of sets : (ii) $A = \{ a, e, i, o, u\} B = \{a, b, c\}$
- Q1(iii): Find the union of each of the following pairs of sets : (iii) $A = \{x : x$ is a natural number and multiple of 3\} $B = \{x : x$ is a natural number less than 6\}
- Q1(iv): Find the union of each of the following pairs of sets : (iv) $A = \{x : x$ is a natural number and $1 < x \le 6$ \} $B = \{x : x$ is a natural number and $6 < x < 10$ \}
- Q1(v): Find the union of each of the following pairs of sets : (v) $A = \{1, 2, 3\}$, $B = \phi$
- Q2: Let $A = \{ a, b \}$, $B = \{a, b, c\}$. Is $A \subset B$ ? What is $A \cup B$ ?
- Q3: If $A$ and $B$ are two sets such that $A \subset B$, then what is $A \cup B$ ?
- Q4(i): If $A = \{1, 2, 3, 4\}$, $B = \{3, 4, 5, 6\}$, $C = \{5, 6, 7, 8 \}$and $D = \{ 7, 8, 9, 10 \}$; find (i) $A \cup B$
- Q4(ii): If $A = \{1, 2, 3, 4\}$, $B = \{3, 4, 5, 6\}$, $C = \{5, 6, 7, 8 \}$and $D = \{ 7, 8, 9, 10 \}$; find (ii) $A \cup C$
- Q4(iii): If $A = \{1, 2, 3, 4\}$, $B = \{3, 4, 5, 6\}$, $C = \{5, 6, 7, 8 \}$and $D = \{ 7, 8, 9, 10 \}$; find (iii) $B \cup C$
- Q4(iv): If $A = \{1, 2, 3, 4\}$, $B = \{3, 4, 5, 6\}$, $C = \{5, 6, 7, 8 \}$and $D = \{ 7, 8, 9, 10 \}$; find (iv) $B \cup D$
- Q4(v): If $A = \{1, 2, 3, 4\}$, $B = \{3, 4, 5, 6\}$, $C = \{5, 6, 7, 8 \}$and $D = \{ 7, 8, 9, 10 \}$; find (v) $A \cup B \cup C$
- Q4(vi): If $A = \{1, 2, 3, 4\}$, $B = \{3, 4, 5, 6\}$, $C = \{5, 6, 7, 8 \}$and $D = \{ 7, 8, 9, 10 \}$; find (vi) $A \cup B \cup D$
- Q4(vii): If $A = \{1, 2, 3, 4\}$, $B = \{3, 4, 5, 6\}$, $C = \{5, 6, 7, 8 \}$and $D = \{ 7, 8, 9, 10 \}$; find (vii) $B \cup C \cup D$
- Q5: Find the intersection of each pair of sets of question 1 above.
- Q6(i): If $A = \{ 3, 5, 7, 9, 11 \}$, $B = \{7, 9, 11, 13\}$, $C = \{11, 13, 15\}$ and $D = \{15, 17\}$; find (i) $A \cap B$
- Q6(ii): If $A = \{ 3, 5, 7, 9, 11 \}$, $B = \{7, 9, 11, 13\}$, $C = \{11, 13, 15\}$ and $D = \{15, 17\}$; find (ii) $B \cap C$
- Q6(iii): If $A = \{ 3, 5, 7, 9, 11 \}$, $B = \{7, 9, 11, 13\}$, $C = \{11, 13, 15\}$ and $D = \{15, 17\}$; find (iii) $A \cap C \cap D$
- Q6(iv): If $A = \{ 3, 5, 7, 9, 11 \}$, $B = \{7, 9, 11, 13\}$, $C = \{11, 13, 15\}$ and $D = \{15, 17\}$; find (iv) $A \cap C$
- Q6(ix): If $A = \{ 3, 5, 7, 9, 11 \}$, $B = \{7, 9, 11, 13\}$, $C = \{11, 13, 15\}$ and $D = \{15, 17\}$; find (ix) $( A \cap B ) \cap ( B \cup C )$
- Q6(v): If $A = \{ 3, 5, 7, 9, 11 \}$, $B = \{7, 9, 11, 13\}$, $C = \{11, 13, 15\}$ and $D = \{15, 17\}$; find (v) $B \cap D$
- Q6(vi): If $A = \{ 3, 5, 7, 9, 11 \}$, $B = \{7, 9, 11, 13\}$, $C = \{11, 13, 15\}$ and $D = \{15, 17\}$; find (vi) $A \cap (B \cup C)$
- Q6(vii): If $A = \{ 3, 5, 7, 9, 11 \}$, $B = \{7, 9, 11, 13\}$, $C = \{11, 13, 15\}$ and $D = \{15, 17\}$; find (vii) $A \cap D$
- Q6(viii): If $A = \{ 3, 5, 7, 9, 11 \}$, $B = \{7, 9, 11, 13\}$, $C = \{11, 13, 15\}$ and $D = \{15, 17\}$; find (viii) $A \cap (B \cup D)$
- Q6(x): If $A = \{ 3, 5, 7, 9, 11 \}$, $B = \{7, 9, 11, 13\}$, $C = \{11, 13, 15\}$ and $D = \{15, 17\}$; find (x) $( A \cup D) \cap ( B \cup C)$
- Q7(i): If $A = \{x : x$ is a natural number \}, $B = \{x : x$ is an even natural number\} $C = \{x : x$ is an odd natural number\} and $D = \{x : x$ is a prime number \}, find (i) $A \cap B$
- Q7(ii): If $A = \{x : x$ is a natural number \}, $B = \{x : x$ is an even natural number\} $C = \{x : x$ is an odd natural number\} and $D = \{x : x$ is a prime number \}, find (ii) $A \cap C$
- Q7(iii): If $A = \{x : x$ is a natural number \}, $B = \{x : x$ is an even natural number\} $C = \{x : x$ is an odd natural number\} and $D = \{x : x$ is a prime number \}, find (iii) $A \cap D$
- Q7(iv): If $A = \{x : x$ is a natural number \}, $B = \{x : x$ is an even natural number\} $C = \{x : x$ is an odd natural number\} and $D = \{x : x$ is a prime number \}, find (iv) $B \cap C$
- Q7(v): If $A = \{x : x$ is a natural number \}, $B = \{x : x$ is an even natural number\} $C = \{x : x$ is an odd natural number\} and $D = \{x : x$ is a prime number \}, find (v) $B \cap D$
- Q7(vi): If $A = \{x : x$ is a natural number \}, $B = \{x : x$ is an even natural number\} $C = \{x : x$ is an odd natural number\} and $D = \{x : x$ is a prime number \}, find (vi) $C \cap D$
- Q8(i): Which of the following pairs of sets are disjoint (i) $\{1, 2, 3, 4\}$ and $\{x : x$ is a natural number and $4 \le x \le 6$ \}
- Q8(ii): Which of the following pairs of sets are disjoint (ii) $\{ a, e, i, o, u \}$ and $\{ c, d, e, f \}$
- Q8(iii): Which of the following pairs of sets are disjoint (iii) $\{x : x$ is an even integer \}$ and $\{x : x$ is an odd integer\}
- Q9(i): If $A = \{3, 6, 9, 12, 15, 18, 21\}$, $B = \{ 4, 8, 12, 16, 20 \}$, $C = \{ 2, 4, 6, 8, 10, 12, 14, 16 \}$, $D = \{5, 10, 15, 20 \}$; find (i) $A – B$
- Q9(ii): If $A = \{3, 6, 9, 12, 15, 18, 21\}$, $B = \{ 4, 8, 12, 16, 20 \}$, $C = \{ 2, 4, 6, 8, 10, 12, 14, 16 \}$, $D = \{5, 10, 15, 20 \}$; find (ii) $A – C$
- Q9(iii): If $A = \{3, 6, 9, 12, 15, 18, 21\}$, $B = \{ 4, 8, 12, 16, 20 \}$, $C = \{ 2, 4, 6, 8, 10, 12, 14, 16 \}$, $D = \{5, 10, 15, 20 \}$; find (iii) $A – D$
- Q9(iv): If $A = \{3, 6, 9, 12, 15, 18, 21\}$, $B = \{ 4, 8, 12, 16, 20 \}$, $C = \{ 2, 4, 6, 8, 10, 12, 14, 16 \}$, $D = \{5, 10, 15, 20 \}$; find (iv) $B – A$
- Q9(ix): If $A = \{3, 6, 9, 12, 15, 18, 21\}$, $B = \{ 4, 8, 12, 16, 20 \}$, $C = \{ 2, 4, 6, 8, 10, 12, 14, 16 \}$, $D = \{5, 10, 15, 20 \}$; find (ix) $C – B$
- Q9(v): If $A = \{3, 6, 9, 12, 15, 18, 21\}$, $B = \{ 4, 8, 12, 16, 20 \}$, $C = \{ 2, 4, 6, 8, 10, 12, 14, 16 \}$, $D = \{5, 10, 15, 20 \}$; find (v) $C – A$
- Q9(vi): If $A = \{3, 6, 9, 12, 15, 18, 21\}$, $B = \{ 4, 8, 12, 16, 20 \}$, $C = \{ 2, 4, 6, 8, 10, 12, 14, 16 \}$, $D = \{5, 10, 15, 20 \}$; find (vi) $D – A$
- Q9(vii): If $A = \{3, 6, 9, 12, 15, 18, 21\}$, $B = \{ 4, 8, 12, 16, 20 \}$, $C = \{ 2, 4, 6, 8, 10, 12, 14, 16 \}$, $D = \{5, 10, 15, 20 \}$; find (vii) $B – C$
- Q9(viii): If $A = \{3, 6, 9, 12, 15, 18, 21\}$, $B = \{ 4, 8, 12, 16, 20 \}$, $C = \{ 2, 4, 6, 8, 10, 12, 14, 16 \}$, $D = \{5, 10, 15, 20 \}$; find (viii) $B – D$
- Q9(x): If $A = \{3, 6, 9, 12, 15, 18, 21\}$, $B = \{ 4, 8, 12, 16, 20 \}$, $C = \{ 2, 4, 6, 8, 10, 12, 14, 16 \}$, $D = \{5, 10, 15, 20 \}$; find (x) $D – B$
- Q9(xi): If $A = \{3, 6, 9, 12, 15, 18, 21\}$, $B = \{ 4, 8, 12, 16, 20 \}$, $C = \{ 2, 4, 6, 8, 10, 12, 14, 16 \}$, $D = \{5, 10, 15, 20 \}$; find (xi) $C – D$
- Q9(xii): If $A = \{3, 6, 9, 12, 15, 18, 21\}$, $B = \{ 4, 8, 12, 16, 20 \}$, $C = \{ 2, 4, 6, 8, 10, 12, 14, 16 \}$, $D = \{5, 10, 15, 20 \}$; find (xii) $D – C$
- Q10(i): If $X= \{ a, b, c, d \}$ and $Y = \{ f, b, d, g\}$, find (i) $X – Y$
- Q10(ii): If $X= \{ a, b, c, d \}$ and $Y = \{ f, b, d, g\}$, find (ii) $Y – X$
- Q10(iii): If $X= \{ a, b, c, d \}$ and $Y = \{ f, b, d, g\}$, find (iii) $X \cap Y$
- Q11: If $R$ is the set of real numbers and $Q$ is the set of rational numbers, then what is $R – Q$?
- Q12(i): State whether each of the following statement is true or false. Justify your answer. (i) \{ 2, 3, 4, 5 \} and \{ 3, 6\} are disjoint sets.
- Q12(ii): State whether each of the following statement is true or false. Justify your answer. (ii) \{ a, e, i, o, u \} and \{ a, b, c, d \}are disjoint sets.
- Q12(iii): State whether each of the following statement is true or false. Justify your answer. (iii) \{ 2, 6, 10, 14 \} and \{ 3, 7, 11, 15\} are disjoint sets.
- Q12(iv): State whether each of the following statement is true or false. Justify your answer. (iv) \{ 2, 6, 10 \} and \{ 3, 7, 11\} are disjoint sets.
Other Exercises for CBSE - Class 11 Mathematics Sets
Chapters in CBSE - Class 11 Mathematics
Top Tutors who teach Sets
Top Tutor 
Tilakwadi, Belgaum 
6 yrs of Exp 
10 students 
1000 hrs of classes completed 
400 per hour 
Online Classes I am a passion driven tutor, with a rich experience of teaching students of intermediate level, Physics, Chemistry and Mathematics, in a real classroom environment at my residence, for nearly 6 years. I have taught about 10 to 16 students every year, during this period I used to enliven the students through practical examples from my field of service, to develop their fundamental concepts/interest and enthuse them to gain a deeper insight into the subject. I used to display reputed books of foreign authors to portray the concepts, through explanatory photos and diagrams, in the absence of electronic educational aids during that period (1993 to 1998). However, with the present state of Technology, invaluable resources from prestigious Universities/Institutions and the excellent facilities available on the UrbanPro Live Platform, I am sure, the students will have a rich learning experience I am very much a down to earth personality, with communication/conversational skills, adequate to engage with learners possessing varied interests. This skill enables me to interact with/counsel young learners to strengthen their skills to realize their various ambitions in Life. I introduce myself as an Engineering graduate with a Track of Professional experience in the field of Telecommunication, Power and Geo-sciences, with a brief supporting role in a Technological University, totally spanning over four decades till date. I will be organizing a free Demo Class for prospective students, who wish to apprise themselves of my personality and teaching methods. The schedule of the same will be put up on the UrbanPro Live Platform
Mukundan Sir is very knowledgeable and a great person. He teaches the concepts very well, gives extra exercises for better understanding. Never know how 1 hour of class goes so quickly as I get immersed with his teaching. Fortunate to have you as my teacher Sir. Thank you so much.
Super Tutor Sector 83, Gurgaon 20 yrs of Exp 34 students 5035 hrs of classes completed 800 per hour Online Classes 
Tutor's home With 26 years of extensive experience in teaching mathematics, I specialize in instructing students from grades 9 through 12 across various boards, including CBSE, ICSE, and State Boards. My academic qualifications include a BSc, BTech in Mathematics, MSc, BEd, and I am currently pursuing a PhD. This strong educational background, coupled with my long-standing commitment to teaching, has allowed me to develop a comprehensive approach to mathematics education. I have held prestigious positions as a College Associate Professor at esteemed institutions such as Ganga Institute of Technology and Management, VAISH College, and BLS University. My dedication to teaching has been recognized with the Best Teacher Award from both VAISH College and Ganga Institute of Technology and Management. These accolades reflect my commitment to delivering high-quality education and fostering academic excellence in my students. Currently, I run my own offline center where I conduct mathematics classes for students in grades 9 through 12. In addition to my offline classes, I also offer online sessions to provide flexible learning options. My teaching methods involve practical sessions using a whiteboard to facilitate a clear and engaging learning experience. I emphasize the importance of regular assessments, providing my students with notes, assignments, and weekly tests to track their progress and ensure thorough understanding. My approach to teaching mathematics is rooted in practical application and interactive learning. By focusing on real-world problems and fostering a supportive learning environment, I aim to help students build a strong foundation in mathematics, achieve academic success, and develop a lifelong appreciation for the subject.
Very patient teacher who makes maths easy and manageable. Fear factor of this subject is completely removed by her . Very competent indeed .
Super Tutor Okkiyam Thuraipakkam, Chennai 5 yrs of Exp 14 students 888 hrs of classes completed 300 per hour Online Classes I have taught online for almost 5 years in Economics for class XI students, both for CBSE and ISC/ICSE. I have been giving 1:1 and group classes to the students. My students have always enjoyed learning with me and have achieved their best. First of all of my students start loving the subject as well as gain confidence in themselves. I feel encouraged to teach more by the feedbacks and the excellent results by my students. Almost all of them continue learning with me in class 12 as well. Further in 12 I give complete preparation for board exam.
Great tutoring experience, syllabus is completed and revision has already started a month before final examination.
Top Tutor HRBR Layout, Bangalore 20 yrs of Exp 1 student 1000 per hour Online Classes Tutor's home I have seen week students reach their highest potential through the use of technology, teaching techniques and drill. I have a passion to see students excel and meet their expectations.
Highly professional and knowledgable. Understands the student level and needs. Very responsive and this is critical when you are taught online.
Top Tutor Nerul Sector 20, Thane 16 yrs of Exp 7 students 482 hrs of classes completed 1000 per hour Online Classes 
Student's Home Tutor's home I teach chemistry to IB, IGCSE,CIE, CBSE, ISC, ICSE, JEE and NEET students
Arun Sir is a very good teacher and and very patient when explaining concepts. He gives very many practice tests and material, and makes sure you retain all your concepts. I would recommend sir to anyone who wants to improve their marks on chemistry.
