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CBSE Questions for Class 11 Commerce Applied Mathematics Set Theory Quiz 5 - MCQExams.com

How many students in this group are not taking any of the three subjects?
  • 8
  • 9
  • 10
  • 11
Let A={7,8,9,a,b,c} and B={1,2,3,4} then number of universal relation from the set A to set B and set B to set A are
  • equal in counting
  • can not be equal in counting
  • 24
  • 26×24
If two intersecting circles with two points in common are drawn then how many common chords can be drawn? Draw the figure and write the answer
  • Only one.
  • Many.
  • Three.
  • None of the options.
Which of the following sets is/are empty?
  • {x:xR,x24=0}
  • {x:xR,x4+4=0}
  • {x:xR,x3=1}
  • {x:xR,x8+x4+1=0}
The set of natural number is subset of set of real numbers.
State true or false:
  • True
  • False
  • Ambiguous
  • Data insufficient
{(1,2)},andB={1,3},then(A×B)(B×A) ={(1,3),(2,3),(3,1),(3,2),(1,1),(1,2),(2,1),}
  • True
  • False
True or false :
A×(BC)=(A×B)(A×C)
  • True
  • False
Given the universal set B={7,3,1,0,5,6,8,9}, find :
B={x:4<x<6}
  • {7,0,5,6}
  • {5,6,8,9}
  • {3,1,0,5}
  • {0,5}
A={x:xx} represents-
  • {0}
  • {}
  • {1}
  • {x}
Which of the following statements is false?
  • 2 {first five counting numbers.}
  • f {consonants}
  • Rose {the set of all fruits.}
  • Asia {Continents}
Let A={2,3,5,7,8,11} then which among the following is true?
  • 7A
  • {2,3} of A
  • 2A
  • None of the above
Which of the following statements is true
  • 3{1,3,5}
  • 3{1,3,5}
  • {3}{1,3,5}
  • {3,5}{1,3,5}
Let P={x|x is a multiple of 3 and less than 100 ,x N}
Q={x|x is a multiple of 10 and less than 100, x N}
  • QP
  • PQ= {x|x is multiple of 30; xN}
  • PQ=ϕ
  • PQ= {x|x is a multiple of 30; xN}
The set of real numbers r satisfying
3r28r+54r23r+7>0 is
  • the set of all real numbers
  • the set of all positive real numbers
  • the set of all real numbers strictly between 1 and 5/3
  • the set of all real numbers which are either less than 1 or greater than 5/3
Find the set of all solutions of the equation 2|y||2y11|=2y1+1, the solution includes
  • y=1
  • y>1
  • y=1
  • y<1
If X and Y are two sets then X(YX) equals:
  • X
  • Y
  • ϕ
  • {0}
If Q={x:x=1y, where yN}, then
  • 0Q
  • 1Q
  • 2Q
  • 23Q
reflexive, symmetric and transitive.
  • R3={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1)}
  • R3={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(1,3),(3,1),(4,1),(1,4)}
  • R3={(1,1),(2,2),(3,3),(4,4)}
  • none of these
Given ξ = {x : x is a natural number}
A = {x : x is an even number x  N}
B = {x : x is an odd number, x  N}
Then (BA)(xA)=....
  • ϕ
  • A
  • B
  • AB
Which of the following statements is true ?
  • 3{1,3,5}
  • 3{1,3,5}
  • {3}{1,3,5}
  • {3,5}{1,3,5}
A={x:xx} represents:
  • 0
  • ϕ
  • 1
  • x
If n (A) = 120, N(B) = 250 and n (A - B) = 52, then find n(AB)
  • 302
  • 250
  • 368
  • None of the above
The solution set of x+2<9 over a set of positive even integers is 
  • {8,10,12,...}
  • {2,4,6}
  • {1,2,3,4,5,6}
  • {2,4,6,8}
The solution set of 3x4<8 over the set of non-negative square numbers is 
  • {1,2,3}
  • {1,4}
  • {1}
  • {16}
Let P and Q be two sets then what is (PQ)(PQ) equal to ?
  • (PQ)(PQ)=ξQ=ξQ=ξ
  • (PQ)(PQ)=ξQ=ξQ=ξ
  • (PQ)(PQ)=ξQ=ξQ=ξ
  • none of the above
If A and B are finite sets which of the following is the correct statement?
  • n(AB)=n(A)n(B)
  • n(AB)=n(BA)
  • n(AB)=n(A) n(AB)
  • n(AB)=n(B)n(AB)
U is a universal set and n(U) =A, B and C are subset of U. If n(A) = 50, n(B) = 70, n(BC)=Φn(BC)=15 and ABC=U. then n(C) equals
  • 40
  • 50
  • 55
  • 60
If n(A)=115,n(B)=326,n(AB)=47, then n(A+B) is equal to 
  • 373
  • 165
  • 370
  • None
If A and B are two disjoint sets and N is the universal set then Ac[(AB)Bc] is
  • ϕ
  • A
  • B
  • N
Suppose A1,A2,....,A30 are thirty sets each having 5 elements and B1,B2,....,Bn are n sets each with 3 elements. Let 30i=1Ai=nj=1Bj=S and each elements of S belongs to exactly 10 of the Ai and exactly 9 of the Bj. Then n is equal to-
  • 35
  • 45
  • 55
  • 65
0:0:1


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Practice Class 11 Commerce Applied Mathematics Quiz Questions and Answers