CBSE Questions for Class 11 Commerce Applied Mathematics Relations Quiz 4 - MCQExams.com

The number of relations from A={1,2,3}A={1,2,3} to B={4,6,8,10}B={4,6,8,10} is
  • 4343
  • 2727
  • 212212
  • 3434
The range of the function f(x)=sin(π[x])x2+1f(x)=sin(π[x])x2+1 (where [.][.] denotes greatest integer function) is
  • {0}{0}
  • RR
  • (0,1)(0,1)
  • (0,)(0,)
Which of the following are not equivalence relations on I?
  • aRb if a+b is an even integer
  • aRb if ab is an even integer
  • aRb if a<b
  • aRb if a=b
Which one of the following is an elementary symmetric function of  x1,x2,x3,x4.
  • x1x2x3+x2x3x4
  • x1x2+x2x3+x3x1
  • x21+x22+x23+x24
  • x1x2+x1x3+x1x4+x2x3+x2x4+x3x4
The solution of 8x6(mod 14) is
  • {8,6}
  • {6,14}
  • {6,13}
  • {8,14,6}
If relation R={(x,x+2):xN,1x<4} then R is
  • {(1,3),(2,4),(3,5)}
  • {(2,3),(4,2),(5,3)}
  • {(1,3),(2,4),(3,5),(4,6)}
  • none of these
The minimum number of elements that must be added to the relation R={(1,2,),(2,3)} on the set of natural numbers so that it is an equivalence is
  • 4
  • 7
  • 6
  • 5
If R is the relation 'less than' from A={1,2,3,4,5} to B={1,4}, the set of ordered pairs corresponding to R, then the inverse of R is
  • {(3,1),(3,2),(3,3)}
  • {(4,1),(4,2),(4,3)}
  • {(4,3),(4,4),(4,5)}
  • {(1,3),(2,4),(3,5)}
If A={1,2,3}, B={1,4,6,9} and R is a relation from A to B defined by 'x is greater than y'. The range of R is
  • {1,4,6,9}
  • {4,6,9}
  • {1}
  • {4,6}
Let R={(2,3),(3,4)} be relation defined on the set of natural numbers. The minimum number of ordered pairs required to be added in R so that enlarged relation becomes an equivalence relation is
  • 3
  • 5
  • 7
  • 9
If A is the set of even natural numbers less than 8 and B is the set of prime numbers less than 7, then the number of relations from A to B is
  • 29
  • 92
  • 32
  • 291
If A={1,2,3},B={1,4,6,9} and R is a relation from A to B defined by 'x is greater than y'. Then range of R is
  • {1,4,6,9}
  • {4,6,9}
  • {1}
  • None of these
If X={1,2,3,4,5} and Y={1,3,5,7,9}, determine which of the following sets represent a relation and also a mapping?
  • R1={(x,y):y=x+2,xY,yY}
  • R2={(1,1),(1,3),(3,5),(4,7),(5,9)}
  • R3={(1,1),(2,3),(3,5),(3,7),(5,7)}
  • R4={(1,3),(2,5),(4,7),(5,9),(3,1)}
If A ={x:x23x+2=0}, and R is a universal relation on A, then R is
  • {(1,1),(2,2)}
  • {(1,1)}
  • ϕ
  • {(1,1),(1,2)(2,1),(2,2)}
If A={b,c,d} and B={x,y}. Find which of the following are elements of A×A.
  • {b,b}
  • {b,c}
  • {b,d}
  • All of the above
n(A)=m and n(B)=n ; then

  • n(A)+n(B)=n(A+B)
  • n(A)-n(B)=n(A+B)
  • A×B=mn
  • n(A) ×n(B =n(A ×B)
Suppose S={1,2}  and T={a,b}  then T×S
  • (a,1),(a,2),(b,1),(b,2)
    B×A={(a,1),(a,2),(b,1),(b,2)}
  • (1,a),(2,b),(b,1),(b,2)
  • (a,1),(a,2),(1,b),(2,b)
  • None of the above
Given A={b,c,d} and  B={x,y} : find element of  A×B .
  • {b,x}
  • {b,y}
  • {c,x}
  • All of the above
Given M={0,1,2} and N={1,2,3}, then (M N) ×(M-N) contains
  • {0,0}
  • {1,0}
  • {2,0}
  • {3,0}
(AB)×C

  • (A×B)(B×C)
  • (A×C)(B×C)
  • (A×B)(B×C)
  • (A×B)(A×C)
M=0,1,2 and N=1,2,3: find (N-M) ×(N M)
  • {3,1}
  • {3,2}
  • {3,3}
  • None of the above
Given M={5,6,7} and N={6,8,10} find element of (MN)×N
  • {5,6}
  • {5,8}
  • {5,10}
  • All of the above
n(A)=4 and  n(B)=5: n(A×B)=
  • 20
  • 10
  • 30
  • None of the above
n (A × B) =
  • n(A) x n(B)
  • n(A B)
  • n(A B)
  • all of these
Which one of the statement is false ?
  • ϕ×A=ϕ
  • A × B = B × A
  • A × B = {(x × y) : x A and y B}
  • R1 = {(y, x) : (x, y) R}
A × (B - C) =
  • (A×B)(A×C)
  • (A×C)(A×B)
  • (A×B)(A×C)
  • (A×B)(A×C)
R is a relation in A and (a, b) r, implies (b, a) R then R is said to be ____ relation
  • symmetric
  • contradictory
  • skew symmetric
  • none of these
The minimum number of elements that must be added to the relation R={(1,2),(2,3)} on the set of natural numbers, so that it is an equivalence is:
  • 4
  • 7
  • 6
  • 5
Let A=R{3},B=R{1} and f:AB defined by f(x)=x2x3 Is f bijective ? 
If yes enter 1 else enter 0
  • True
  • False
If A = {1, 2}, B = {3, 4}, then A×B =
  • {(1, 3), (1, 4), (2, 3), (2, 4)}
  • {(1, 1), (2, 2), (3, 3), (4, 4)}
  • {(4, 1), (3, 1), (4, 2), (3, 2)}
  • All the above
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