mid test
larpoh·@thuya·
0.000 HBDmid test
Sets 1. The set A = { x\ x2 – 7x + 12 =0 } is A.{ 3 , 4 } B. { -3 , 4 } C.{ 3 , -4 } D.{ -3 , -4 } E. None of them 2.The element(s) of A ={ (x,y)\ x+y=8 where x and y are positive integers and x≥ y} is 1. (1,3) 2.(4,4) 3. (5,3) A.1 only B. 2 only C.3 only D.1 and 2 only E.2 and 3 only 3.Given that S= {0,1,2,3,4} is the universal set and A={ x\ x3 – 9x =0 }.Then A=…….. A.{ -3 , 0, 3 } B. { -3 , 0 } C.{ 0 , 3 } D.{ -3 , -3 } E.{0,9} 4.The interval { x\ -2≤ x < 3 }is denoted by A.( -2 , 3 ) B. [ -2 , 3 ] C.[ -2 , 3 ) D.( -2 , 3 ] E. None of these 5. The graph on the number line is denoted by 2 3 A.(-2,3) B.[-2,3) C. (-2,3] D.[-2,3] E. Non of these 6.If A={x\x≥4,xϵR} and B={x\x<8 ,x∈R} then A∩B is A. {x\8≥x≥4} B. {x\8≥x>4} C. {x\8≤x≤4} D. {x\8≤x<4} E.Non of these 7.If P=[2,7) and Q=(3,7], then P∩Q =……….. A.(3,7] B.(2,7] C.(3,7) D.[2,7] E.(4,7) 8.Let S=R if A={x\x<a},B={x\x>a} then (A∪B)´ is A.∅ B.{a} C. {0} D.R\{a} E.R 9. If P={x\x3+x2-6x=0 and x≥0} then P=………… A.{2,0,-3} B.{2} C.{2,0} D.{-2} E.{2,-3} 10.The graph of the solution set of the inequation 5-x≥1 is A. B. C. D. E. 4 4 -4 -4 -4 11.If A={a,b,c} , B={b,c,d} and C= {a,b,e} then A∩(B∪C)=…… A. {a,d,e} B.{a,d} C.{a,c,d} D.{a,b,d} E.{a,b,c} 12. If x∈ (P∩Q), which of the following is (are) true? 1.x∈P 2. x∈ 3. x∈(P∪ Q) A.1 only B. 2only C. 1and3 only D. 2and3 only E. 1,2 and 3 13. A={x\x is an integer,1<x<12} and B={x\x is a positive integer and less than 15 and x is multiple of3}then A∩B is A.{3,6,9,12} B{2,3,4,5,6,7,8,9,10,11} C.{6,9,12} D.{3,6,9,12,15} E.{3,6,9} 14.If A≠B, which of the following is true? A. A∩B=B∩A B.A∪B=B∪A C.A∪A=A D.B∩B=B E.A\B=B\A 15.If S={1,2,3,4,5,6,7} is the universal set ,P={1,2,3,4} and Q´={1,2,7}, then P∩Q=….. A. {1,2,3} B.{3,4} C.{3} D.{4} E.∅ 16.If P∪Q={x,y,z,u,v},P∩Q={z,u} ,P\Q={x,v} then Q\P=……. A.{y,z,u} B. {y} C.{x,u,v} D. ∅ E. None of these 17.Given E={2,4} ,F={4,6,8,x} The value of x such that E\F=∅ A.0 B.2 C.4 D.6 E.8 18.Let n(P) denotes the number of elements in set P. Given that n(P)=7 and n(Q)=3 the largest possible value of n(P∩Q) is A.10 B.9 C.7 D.4 E.3 19. Let n(P) denotes the number of elements in set P. Given that n(P)=2 and n(Q)=5 the smallest possible value of n(P∩Q) is A.5 B.2 C.3 D.7 E.8 20.Which of the following is (are) true? 1. {x\x2-5x+6=0}⊂{x\2≤x≤4} 2.{x/x is an even number}∩{x\x is an odd number} 3.A∪A´=S A.1 only B. 2 only C.3 only D . 1,2 and 3 E. None of these 21.How many subsets of A\B if A={2,3,5,8} and B={x\x3-8x+15=0} A.4 B.8 C.16 D. 32 E.2 22. If A={a,b,c} and B={a,b,c,d,e} , then the number of subsets of A∩B is A.4 B.8 C.16 D. 32 E.2 23.If A⊂B ,which of the following is false? A.A∪B=B B D. 19 E. 5 27. If A={1,3,
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