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CBSE Questions for Class 11 Commerce Applied Mathematics Set Theory Quiz 10 - MCQExams.com

In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only.
  • 10
  • 11
  • 12
  • 13
In a battle 70% of the combatants lost one eye, 80% an ear, 75% an arm, 85% a leg and x% lost all the four limbs the minimum value of x is 
  • 10
  • 12
  • 15
  • none of these
The number of subsets R of P=(1,2,3,....,9) which satisfies the property "There exit integers a<b<c with aR, bR,cR" is
  • 512
  • 466
  • 467
  • None of these
If A={3,{4,5},6}, then the statement is true or false
{3}A
  • True
  • False
In a universal set x,n(x)=50 ,n(A)=35 , n(B)=20 , n(AB)=5 ,then n(AB),n(AB) are repsectively 
  • 45,10
  • 10,45
  • 25,30
  • 15,25
If p and q are two proposition, then (pq) is 
  • pq
  • pq
  • (pq)(pq)
  • noneofthese
If  A  and  B  are two non empty sets then  (AB)C=?
  • ACBC
  • ACBC
  • ABC
  • ACB
Let S=1,2,3,.....10 and P=1,2,3,4,5 The number of subsets Q of S such that pQ=S, are.....
  • 128
  • 256
  • 32
  • 64
If 'p' is true and 'q' is false, then which of the following statement is not true?
  • pq
  • pq
  • p(q)
  • qp
If the number of 5 elements subsets of the set A{ a1,a2.....a20} of 20 distinct elements is k times the number of 5 elements subsets containing a4, then k is 
  • 5
  • 207
  • 4
  • 103
Let A and B be two sets. AB={1,2},AB={1,2,3,4,5} and if n1 is the maximum number of function from A to B and n2 is the minimum number of function form A to B then n1n2 equals
  • 32
  • 56
  • 64
  • 81
The value of set (ABC)(AB1C1)1C1 is equal to  
  • BC1
  • AC
  • BC1
  • AC1
If two sets P and Q,n(P)=5,n(Q)=4 then n(P×Q)=
  • 20
  • 9
  • 25
  • 5/4
The statement that is true among the following is 
  • pq is equivalent to pq
  • pq and pq have the same truth value
  • The converse of tanx=0x=0 is x0tanx=0
  • The contrapositive of 3x+2=8x=2 is x23x+28
Let  Q  be a non empty subset of  N  and  q  is a statement as given below :
q:  There exists an even number  aQ  Negation of the statement  q  will be :
  • There is no even number in the set Q
  • Every aQ is an odd number.
  • (a) and (b) both
  • None of these
If A= {1, 2, 5} and B= {3, 4, 5, 9}, then AB is equal to :
  • {1,2,5,9}
  • {1,2,3,4,9}
  • {1,2,3,4,5,9}
  • None of these
In a battle 70% of the combatants lost one eye, 80% an ear, 75% an arm, 85% a leg, x% lost all the four limbs the minimum value of x is
  • 10
  • 12
  • 15
  • 5
Two sets A and B are defined as follows
A={(x,y):y=e2x,xR} and 
B={(x,y):y=x2,xR}, then
  • AB
  • BA
  • AB
  • AB=ϕ
If A={1,2,3,4};B={2,4,6,8};C={3,4,5,8} then ABC=
  • ϕ
  • 4
  • μ
  • 2,4
Examine whether the following statements are true or false:
{b,c}{a,{b,c}}
  • True
  • False
In a group of 800 people, 550 can speak Hindi and 450 can speak English. How many can speak both Hindi and English ?
  • 100
  • 150
  • 200
  • None of these
Let A,B are two sets such that n(A)=4 and n(B)=Then the least possible number of elements in the power set of (AB) is 
  • 16
  • 64
  • 256
  • 1024
Left A = {1, 2, 3, 4, 5, 6} and B= {1, 2, 3, 4}  be two sets, then the number of functions that can be defined from A to B such that the element '2' in B has exactly 3 pre - images i A, is equal ot
  • 540
  • 440
  • 810
  • 620
if universal set ={a,b,c,d,e,f,g,h,}A={b,c,d,e,f}andC={c,d,e,f,g},thenfindBA
  • {b,c,e,f}
  • {a,b,f,h}
  • {a,g,h}
  • {a,c,e,g}
If P(S) denotes the set of all subsets of a given set S, then the number of one to one function from the set s={1,2,3} to the set of P(S) is 
  • 336

  • 8
  • 36
  • 320
The function f(x) satisfies the condition (x2)f(x)+2f(1x)=2 for all x0. Then the value of f(2) is 
  • 12
  • 1
  • 74
  • 32
If A={1,2,3,4}, then the number of subsets of A that contain the element 2 but not 3, is 
  • 16
  • 4
  • 8
  • 24
Let p and q be two statements. amongst the following, the statement is equivalent to pq is
  • pq
  • pq
  • pq
  • pq
Let S={aN,a100} if the equation [tan2x]tanxa=0 has real roots, then the number of elements S is (when [.] is greatest integer function)
  • 10
  • 1
  • 9
  • 0
If A={1,3,5,7,9,11,13,15,17},B={2,4,....,18} and N is the universal set, then A((AB)B)
  • A
  • N
  • B
  • R
0:0:1


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Practice Class 11 Commerce Applied Mathematics Quiz Questions and Answers