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: This section contains multiple choice questions. Each, has four choices (a), (b), (c) and (d), out of which only, correct., The set of intelligent students in a class is :, (a) anullset (b) a singleton set, (©) a finite set (d)_ nota well defined collection, 2. Ifthesets A and B are given by A= {1, 2, 3, 4},, B= {2,4, 6, 8, 10} and the universal set, U={1, 2, 3, 4, 5,6, 7,8, 9, 10}, then, (a) (AUB)'=§5, 7, 9}, ) (AMB)'= {l, 3, 5, 6, 7}, () (An B)'= (1,3, 5, 6, 7,8}, (d) None of these, 3. IfA={1,2,3,4}, B= {2, 3, 5, 6} andC= (3,4, 6,7}, then, f) A-Bon ©={1,3,4}, (b) A-@Bn C)= {1,2,4}, () A-(BuU C)= {2,3}, @ A-BuC)}= {9}, 4. Which of the following is correct?, @M@ABAA, (be) (A BY A B, () (A B) AA, (@ (A BY AB, 5. The number of the proper subset of {a, b, c} is:, fa) 3 (b) 8, , © 6 (d) 7, Which one is different from the others ?, , , , , , , , , , , , , ees 8 If A= {x,y} then the power set of A is:, , 10., , i., , 2;, , 13., , 14,, , , , , , , , Rony a, , @) (iy ©) {x.y} ne, © fate.) @ (eblb}bsl), The set {x : x isan even primenumber} can bewrittenas, (a) 2} (b) 2.4}, () 214 (d) {2,4,14} : \, Given the sets =, A= {1,3, 5}, B= {2,4, 6} and C= {0, 2,4, 6, 8}. Which ofthe, following may be considered as universal set for all the three, , sets A, Band C?, , (a) {0,1,2,3,4,5, 6}, , (b), (c) {0,1,2,3,4,5, 67,8, 9, 10}, , (d) “{1,2,3,4,5, 6, 7, 8}, , If AUB# 4, then n(AUB) =?, , (a) n(A)+n(B)—n(AMB), , (b) n(A)—n(B)+n(AB), , (c) n(A)—n(B)-n(AMB), , (d) n(A)+n(B)+n(AMB), , Which of the following collections are sets ?, , (a) The collection ofall the days of a week, , (b) Accollection of 11 best hockey player of India., , (c) The collection ofall rich person of Delhi, , (d) Acollection ofmost dangerous animals of India., , Which of the following properties are associative law ?, , @ AUB=BUA, , (b) AUC=CUA, , (©), AUD=DUA 2 heh, , (d) (AUB)UC=AU(BUC), Let V= {a, e, i, 0, u} and B = {a, i, k, uh. Ve, V—Band B - V are respectively ‘~, , (a) {e,o} and {k} (b) fe}and {ky, , (c) {opand {kK} @)_ {e, 0} and §, , Let A= {a,b}, B= {a,b,c}, Whatis A\, , (a) {a,b} (b)

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elements in A], ‘then which one of the following, , i., , belt), — @ 06, , ofthe following is an infinite set ?, » set of human beings on the earth, set of water drops in a glass of water, The set of trees in a forest, The set of all primes, , A= {x:xisamultiple of 3} and, B={x:xisamultipleof5}.Then AB is given by:, a) {15,30,45,...}, — ®) 3.69...), © {15, 10, 15,20...}, @)_ {5,10,20,...), Theset A= {x:x € R,x?=16and 2x=6} equals, @ o (b) {14,34}, © 8} (d) {4}, . A= {x: x¥x} represents, @) & ) 1), of (d) {0}, , ch of the following is a null set ?, , fS2pe 8, 16 drink tea, “Many persons drink, () 36, (d) 19, I ‘ina school, 1f400 of them can speak, , then the number of students, ! is:, , but not coffee, while 33, coffee but not tea ?, , students who can 38,, , Pf A =x, , 3n,n e Nand 1 <n<, , =n 0 € Nand 1<n< 10}, (d) None’of these, , . Which of the following sets is a finite set?, , (a) A= {x:x © Zand x? —5x+6=0}, (b) B= {x: x € Zand x’ is even}, , (©) D= {x: x € Zand x >-10}, , (d) All of these, , . Which of the following is a singleton set?, , (a) {x:|x|=5,x EN}, (b) {x:|x|=6,x eZ}, (c) {x:x2+2x+1=0,x €N}, (d) (xox =7,. 0 NG, , . Which of the following is not a null set? |, , (a) Set of odd natural numbers divisible by 2, , (b) Set of even prime numbers, , (c) {x:x is a natural number, x < 5 and x > 7}, (d) {y : y is a point common to any two parallel li, , x= n’, n = 1, 2, 3}, then number of p, subsets is, , (a) 3 (b) 8, (c) 7 (dd) 4, , - Which of the following has only one subset?, , @® 3 (b) {4}, (©) {4,5} (a) 0}, , - The shaded region in the given figure is”, , @ BO(AUG, , (b) BU(AAG), © BA(A-G, , @ B-(AUQ, , » IfA={x:xisa multiple of 3} and, , B= {x : x is a multiple of 5}, then A — B is equ:, @ AnB (b) AaB, , ©) AB @ AAB, , - IfA and B be any two sets, then A, , (a) A

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37., , 4., , 42., , in the set-builder form is, , n, x seal’ where né N and 1<n<s|, , , , ~,. where n€ N and Isn<6|, , n, © oe ae where néN and tno}, , (d) None of the above, , The set {x : x is a positive integer less than 6 and 3° — |, js an ever number} in roster form is, (a) {1,2,3,4, 5} (bo) {1, 2,3, 4, 5, 6}, , {c) (2,4, 6} (d) {1.3.5}, , If B = {x : x is a student presently studying in both classes, X and XI}. Then, the number of elements in set B are, , , , , , {a) finite (b) infinite, {c) zero (d) None of these, Consider:, , X = Set of all students in your school., , Y = Set of all students in your class., , Then, which of the following is true?, , (a) Every element of Y is also an element of X, , (b) Every element of X is also an element of Y, , (c) Every element of Y is not an element of X, , (d) Every element of X is not an element of Y, , If A c B and A = B, then, , (a) A is called a proper subset of B, , (b) A is called a super set of B, , (c) A is not a subset of B, , (d) B is a subset of A, , The set of real numbers {x :a< x < b} is called, fa) open interval (b) closed interval, , (c) semi-open interval (d)__semi-closed interval, Which of the following is true?, , fa) ac {fa}, b} (b) {b,c} fa, tb, cH}, fc) {a,b} < fa, fb, c}} (d)_ None of these, , The interval [a, b) is represented on the number line as, , OO, nme eee Te, , ——_—————_o—, © ae (d) 2 t, The interval represented by, , _——_—_—""—_, a b, , a) (a,b) (b) [a, b}, () [a, b) (d) (a, bJ, The number of elements in P[P(P(@))] ts, fa) 2 (b) 3, (c) 4 (d) 5, IfU = {1, 2, 3,4, .... 10) is the universal set of A, B and, , A= [2,4,6,8, 10}, B= {4, 6} are subsets of U, then given, sets can be represented by Venn diagram as, , 47., , 48., , 49., , 50., , (a), , (b), , (©), , , , , , , , (d), , 9, , , , , , , , , , Most of the relationships between sets can be represented, by means of diagrams which are known as, , (a) rectangles (b) circles, , (c) Venn diagrams (d) triangles, , Which of the following represent the union of two sets, A and B?, , , , , , , , , , U U, (a) GZ» (b) | A B, AUB AUB, , U u, () | A Bi] @ |A B, AUB AUB, , , , , , , , , , , , Let X = {Ram, Geeta, Akbar} be the set of students of, Class XI, who are in school hockey team and Y = {Geeta,, David, Ashok} be the set of students from Class XI, who, are in the school football team. Then, X > Y is, , (a) {Ram, Geeta} (b) {Ram}, , (c) {Geeta} (d) None of these, , Which of the following represent A ~ B?, , (a) {xix © Aandx € BS, , (b) {x: x © Aandx € B}, , (c) {x: x eAorxe B}, , (d) {xrxeAorx€ B}