MCQs on SETS for Class 11 Maths with Answers PDF

Multiple Choice Questions (MCQs) on SETS of CBSE Class 11 Maths are provided here. These questions are good to prepare for the Class 11 Examinations as well as Competitive Examinations.

Students of 11th standard can practice these questions to develop their problem-solving skills and increase the confidence level.

CBSE Class 11 Maths SETS MCQs with answers are available to download in PDF from here.

 MCQ Questions for Class 11 Maths with Answers : Chapter 1 SETS

$$\begin{array}{l}1.\text{A set is a }\\ \text{a)}\text{a group of object}\text{b) a collection of object}\\ \text{c) a collection of objects with a common fixed property}\\ \text{d)}\text{a well defined collection of objects}\\ 2.\text{Which one of the following is a null set?}\\ \text{a)}\left\{x|x\in R,4x^2-1=0\right\}\text{b)}\left\{x|x\in N,x\text{ is a odd,}x+3\text{ is even}\right\}\\ \text{c)}\left\{x|x\in R,x^2<3\right\}\text{d)}\left\{x|x\in R,x^2<0\right\}\\ 3.\text{If P}=\left\{3m:m\in N\right\}\text{ and}\text{Q}=\left\{3^m:m\in N\right\},\text{then}\\ \text{a)}\text{P}\subset \text{Q}\text{b)}\text{Q}\subset \text{P}\\ \text{c)}P\text{}\text{}=Q\text{d)}\text{P}\cup \text{Q}\text{=}\text{N}\\ \text{4}.\text{The fourth quadrant is the set of}\\ \text{a)}\left\{\left(x,y\right):x>0andy>0\right\}\text{b)}\left\{\left(x,y\right):x<0andy<0\right\}\\ \text{c)}\left\{\left(x,y\right):x>0andy<0\right\}\text{d)}\left\{\left(x,y\right):x<0andy>0\right\}\\ 5.\text{The number of all possible subsets of a set containing }n\\ \text{elements is :}\\ \text{a)}n\text{b) 2n}\\ \text{c)}\overline{)n}{\text{d) 2}}^n\\ 6.\text{If a finite set }S\text{ contains }n\text{elements, then the number of all}\\ \text{ non empty proper subsets of }S\text{is}\text{}\text{:}\\ \text{a)}{\text{2}}^n\text{b)}\text{2}\left(2^n-1\right)\\ \text{c)}(2^{n-1}-2)\text{d)}{\text{2}}^n-1\\ 7.\text{The number of non empty subsets of }\left\{a,b,c,d\right\}\text{is}\\ \text{a)}3\text{b) 4}\\ \text{c) 15}\text{d)}\text{16}\\ \text{8}.\text{Which one of the following is correct?}\\ \text{a)}\left\{1\right\}\in \left\{1,2\right\}\text{b)}\text{1}\cup \left\{1,2\right\}\\ \text{c)}\left\{1,3\right\}\in \left\{x|x\text{ is a possitive integer}\right\}\text{d)}\text{}\left\{1,2\right\}\subseteq \left\{2,1\right\}\\ 9.\text{The number of all possible subsets of }\left\{1,2,3,4\right\}\text{is}\\ \text{a)}2\text{b) 4}\\ \text{c) 6}\text{d) 8}\end{array}$$ $\begin{array}{l}10.IfA=\left\{1,2,3,4\right\},B=\left\{2,4,5,6\right\}andC=\left\{1,2,5,7,8\right\},\text{then}\\ \left(A\cup C\right)\cap Bis\\ \text{a) }\left\{1,2,5\right\}\text{b)}\text{}\left\{2,4,5\right\}\\ \text{c)}\left\{1,2,4,5,7,8\right\}\text{d)}\left\{1,2,3,4,5,7,8\right\}\\ 11.\text{If U}=\left\{1,2,3,4,\mathrm{....},10\right\},A=\left\{1,3,5,7\right\}\text{}andB=\left\{1,2,3,4,5\right\},\\ \text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{ then }\left(A\text{'}\cup B\text{'}\right)=?\\ a)\left\{2,4,6,8,9,10\right\}b)\left\{2,6,7,8,9,10\right\}\\ \text{c)}\left\{2,4,6,7,9,10\right\}\text{d)}\left\{2,4,6,7,8,9,10\right\}\\ 12.\text{If A and B are two sets such that }n\left(A\right)=70,n\left(B\right)=60\\ \text{and}n\left(A\cup B\right)=110\text{then }n\left(A\cap B\right)=?\\ \text{a)}240\text{b) 50}\\ \text{c)}40\text{d)}\text{20}\\ \text{13}.\text{If A}\subset \text{B, then}\left(A\text{'}\cup B\text{'}\right)=\\ \text{a)}A\text{'}\text{b) B'}\\ \text{c)}A\text{d)}\text{None}\text{of these}\\ \text{14}.\text{If A }=\left\{x:x\text{is a multiple of 4}\right\}and\\ B=\left\{x:x\text{ is a multiple of 6}\right\}\text{then A}\cap \text{B}\text{consists of all}\\ \text{multiples of}\text{:}\\ \text{a)}24\text{b)}\text{2}\\ \text{c)}12\text{d)}\text{4}\\ 15.\text{ If }x\text{ is a positive integer, then the solution set of the equation}\\ x+2\text{ is}\text{:}\\ a)\left\{-2\right\}b)\left\{2\right\}\\ c)\varphi d)\left\{\varphi \right\}\\ 16.\text{If A is the set of all positive integers and B is the set of all}\\ \text{ negative integers, then}\text{A}\cap \text{B}\text{=?}\\ a)\left\{0\right\}b)\varphi \\ c)0d)\left\{\varphi \right\}\\ 17.\text{Which of the following statement is true?}\\ a)\left\{a\right\}\subseteq \left\{\left\{a\right\},b,c\right\}b)\left\{a\right\}\in \left\{\left\{a\right\},b,c\right\}\\ c)\left\{a,b\right\}\subseteq \left\{\left\{a\right\},b,c\right\}d)\left\{a,b\right\}\in \left\{\left\{a\right\},b,c\right\}\end{array}$ $$\begin{array}{l}18.\text{The set }\left\{x:\left(x-2\right)\left(x-3\right)>0\right\}\text{is equal to}\\ a)\left\{x:2<x<3\right\}b)\left\{x:x>3\right\}\cup \left\{x:x<2\right\}\\ c)\left\{x:x<3\right\}\cup \left\{x:x>2\right\}d)\text{None of these}\\ 19.\text{Which of the following is an infinite set?}\\ a)\left\{x:x\in N,x<50\right\}b)\left\{x:x\in I,x<50\right\}\\ c)\left\{x:x\in I,x\text{ is a factor of 50}\right\}\\ d)\left\{x:x\text{ is a whole number,}x<50\right\}\\ 20.\text{Whis of the following is a finite set?}\\ a)\left\{x:x\in I,x<1\right\}b)\left\{x:x\in R,0<x<1\right\}\\ c)\left\{x:x\in R,0<x<1\right\}d)\text{None of these}\\ 21.\text{Which of the following is a singleton set?}\\ a)\left\{x:x\in R,x^2=x\right\}b)\left\{x:x\in N,3x=4\right\}\\ c)\left\{x:x\in R,x^2=-1\right\}\\ d)\left\{x:x\text{ is an integer which is neither +ve}\text{nor -ve}\right\}\\ 22.\text{ Which of the following is a correct statement?}\\ a)\varphi \in \left\{a,b,c\right\}b)\text{}\left\{\varphi \right\}\subseteq \left\{a,b,c\right\}\\ c)\varphi \subseteq \left\{a,b,c\right\}d)N\text{one of these}\\ \text{23}\text{. Which of the following is a correct statement?}\\ a)\varphi =0b)\varphi =\left\{0\right\}\\ c)\varphi =\left\{\varphi \right\}d)\varphi =\left\{\right\}\\ 24.\text{If X}=\left\{\left(4^n-3n-1\right):n\in N\right\}\text{and}\\ \text{ Y}=\left\{9\left(n-1\right):n\in N\right\},then\\ a)X\subset Yb)Y\subset X\\ c)X\cap Y=\varphi d)\text{}\text{None of these}\\ 25.\text{If A}=\left\{a,b\right\},\text{then the power set of A is:}\\ a)\left\{a^a,b^b\right\}b)\left\{a^b,b^a\right\}\\ c)\left\{a^2,b^2\right\}d)\left\{\varphi ,\left\{a\right\},\left\{b\right\},\left\{a,b\right\}\right\}\\ 26.\text{ Which one of the following set is empty set?}\\ a)\left\{x:x\in N:5x=9\right\}b)\left\{x\in I:0<x<4\&x\text{ is even}\right\}\\ c)\left\{x\in I:\left(x-1\right)\left(x-2\right)=0\&xisodd\right\}d)\left\{0\right\}\end{array}$$ $\begin{array}{l}27.\text{ If A}=\left\{1,2\left\{3,4\right\}\right\},\text{then}\text{which}\text{of}\text{the}is\text{correct statement?}\\ a)3\in Ab)\left\{1\right\}\subset A\\ c)\left\{2\right\}\in Ad)4\in A\\ 28.\text{If A=}\left\{1\right\},\text{then which of the following statement is true?}\\ a)\{1\}\in Ab)1\subset A\\ c)A=1d)1\in A\\ 29.\text{ If A}\text{}\text{is the set of all positive integer and B is the set of}\\ \text{ all negative integers, then A}\cup \text{B}\text{is}\\ a)\text{The set of all integer}\\ b)\text{The set of all integer excluding 0}\\ c)\text{The set of all non negative integers}\\ d)\text{None of these}\\ \text{30}\text{.}\text{Let A}=\left\{x\in R:0<x<1\right\},\text{ then which of the following is }\\ \text{ not an element of A? }\\ a)1b)\frac{1}{2}\\ c)\frac{1}{3}d)\frac{1}{4}\\ 31.\text{ Consider the following statement}\\ \text{i)}\left(A\cap B\right)\text{'}=A\text{'}\cap B\text{'}\\ \text{ii)}\left(A\cup B\right)\text{'}=A\text{'}\cup B\text{'}\\ \text{iii)}\left(A-B\right)\text{'}=A\text{'}-B\text{'}\\ \text{Of these statement :}\\ a)Only\text{i is true}b)\text{only iii is true}\\ c)\text{all are true}d)noneistrue\\ 32.A\cup B=\varphi \Rightarrow \\ a)A=\varphi orB=\varphi b)A=\varphi andB=\varphi \\ c)A\ne \varphi butB=\varphi d)\text{}\text{ None of these}\\ \text{33}\text{.}\text{If A}\cap \text{B = A,}\text{then}\\ a)A\subset Bb)B\subset A\\ c)A=\varphi orB=\varphi d)None\text{}of\text{}these\end{array}$ $$ $$ $\begin{array}{l}34.\text{If A}\cup \text{B = A,then}\\ \text{a) A}\subset \text{B}b)B\subset A\\ \text{c) A is not a subset of B and B is not a subset of A }\\ \text{d) None of these}\\ \text{35}\text{.}\text{A}\cap \text{B}\Rightarrow \varphi \\ \text{a) A = }\varphi orB=\varphi b)A=\varphi andB=\varphi \\ \text{c) A}=\varphi \text{ and}\text{B}\ne \varphi \text{ d)}\text{None of these}\\ \text{36}\text{. Which of the following is a true statement?}\\ \text{a)}\left(A\cup B\right)\text{'}=\left(A\text{'}\cup B\text{'}\right)b)\left(A\cap B\right)\text{'}=\left(A\cap B\text{'}\right)\\ \text{c) }\left(A\cup B\right)\text{'=}\left(A\text{'}\cup B\right)\text{ d)}\left(A\cup B\right)\text{'}=\left(A\text{'}\cap B\text{'}\right)\\ 37.\text{For any three sets A,B and C:}\\ \text{a) A}-\left(B\cup C\right)=\left(A-B\right)\cup (A-C)\\ b)\text{}\text{}A-\left(B\cup C\right)=\left(A-B\right)\cap \left(A-C\right)\\ \text{c)}\text{A}-\left(B\cup C\right)\text{=}\left(A\cup B\right)-\left(A\cup C\right)\\ \text{d) None of these}\\ 38.\text{One of the De-morgan's law is:}\\ \text{a) }\left(A\cup B\right)\text{'}=\left(A\text{'}\cup B\text{'}\right)\\ b)\text{}\left(A\cap B\right)\text{'}=\left(A\text{'}\cup B\text{'}\right)\\ \text{c)}\left(A\cup B\right)\text{'}=\left(A\cap B\right)\\ \text{d)}\left(A\cap B\right)\text{'}=\left(A\cup B\right)\\ 39.\text{ If A}\subset \text{B,}\text{}\text{then}\left(A\text{'}\cup B\text{'}\right)=?\\ \text{a)}\text{A'}b)B\text{'}\\ \text{c)}\text{A d)}\text{None of these}\\ \text{40}\text{.}\text{The symmetric difference of two sets A and B is:}\\ \text{a)}\left(A-B\right)\cap \left(B-A\right)\\ b)\left(A-B\right)\cup \left(B-A\right)\\ \text{c)}\left(A\cup B\right)-\left(A\cap B\right)\\ \text{d) None of these}\end{array}$

ANSWERS

$$\begin{array}{l}\begin{array}{ccc}1\left(d\right)& 2\left(d\right)& 3\left(b\right)\\ 4\left(c\right)& 5\left(d\right)& 6\left(d\right)\\ 7\left(c\right)& 8\left(d\right)& 9\left(b\right)\end{array}\\ \begin{array}{ccc}10\left(b\right)& 11\left(d\right)& 12(d)\\ \text{}\text{}\text{}\text{}\text{}13\left(b\right)& 14\left(c\right)& 15\left(c\right)\\ 16\left(b\right)& 17\left(b\right)& 18\left(b\right)\end{array}\\ \begin{array}{ccc}19\left(b\right)& 20\left(d\right)& 21\left(d\right)\\ 22\left(c\right)& 23\left(d\right)& 24\left(a\right)\\ 25\left(d\right)& 26\left(b\right)& 27\left(b\right)\end{array}\\ \begin{array}{ccc}28\left(d\right)& 29\left(b\right)& \text{}30\left(a\right)\\ 31\left(d\right)& \text{}32\left(d\right)& 33\left(a\right)\\ 34\left(b\right)& 35\left(d\right)& 36\left(d\right)\end{array}\\ \begin{array}{ccc}37\left(b\right)& 38\left(b\right)& 39\left(a\right)\\ 40\left(b\right)& & \\ & & \end{array}\end{array}$$

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