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
- 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.A∩B=A C.A∪(A∩B)=A D.A∩A∪B=A E.None of these - If A´={1,2,3,47} and B´={3,4,5,6}, then the number of subsets of (A∪B)´ is
A. 2 B. 3 C. 4 D.6 E.8
25.If n(A)=10 , n(B)=7 and n(A∩B)=4, then number of the elements of A which are not the
element of B is
A. 3 B.6 C. 8 D. 11 E. 14 - If n(A∪B)=28, and n (A∩B) =9 , n(A\B)=7. then n(B\A)=……….
A. 12 B. 16 C. 21 D. 19 E. 5 - If A={1,3,5,7,9} and B´={1,2,3,4,5} , then A\B=……
A.{7,9} B.{2,4} C.{1,3,5} D. {1,2,3,4,5,7,9} E. None of these
28.If A∪B ={1,2,3,4,5,6,7,8} and A∩B={1,5,7} then (A\B)∪ (B\A)=………
A. ∅ B.{1,3,5} C. {2,3,4,6,8} D.{1,2,3,4,5,6,7,8} E.It is impossible to determine
29.Let S={1,2,3,4,5} be the universal set. If A∩B´={1,2} and B´={1,2,3}, then A∪B=…….
A. {5} B.{3,4} C.{3,4,5} D.{1,2,3,4} E. S
30.If P and Q are the two sets such that n(P)=4, n(Q)=6, n(P∩Q)=2, then n(P∪Q)=…….
A.2 B.4 C.6 D.8 E.10
31.If the universal set contains 500elements, n(A)=240, n(A∪B)=460,n(A∩B)=55,then(B´)=….
A. 275 B.225 C.125 D.325 E.175
32.For the Venn diagram, which of the following is (are) true;
1.X∩Y={3,4} 2. X\Y={1,2} 3.Y\X={5,6}
