Sets and Relation questions
385 published questions with worked solutions.
- In order that a relation R defined on a non-empty set A is an equivalence relation, it is sufficient if R
- The relation 'is a subset of' on the power set P(A) of a non-empty set A is
- If A is a finite set having n elements, then the number of relations on A is
- If A= 1,2,3 , then the relation R= (1,1),(2,2),(3,1),(1,3) is
- If n(A B)=45, then n(A) cannot be
- Let A be the set of compartments in a train. A relation R on A is defined by aRb iff 'a and b have a link between them'. Which of...
- If a set A contains n elements, which of the following can never be the number of reflexive relations on A, whatever the value of...
- The relation "is a factor of" on the set N of all natural numbers is not
- In a set of teachers of a school, each teacher teaches exactly one subject. Two teachers are said to be related if they teach the...
- If R= (a,b):|a+b|=a+b is a relation defined on the set -1,0,1 , then R is
- Let R be a relation on the set N of natural numbers defined by nRm n is a factor of m (i.e. n m). Then, R is
- If A= x,y,z , then the relation R= (x,x),(y,y),(z,z),(z,x),(z,y) is
- If R= (a,b):a+b=4 is a relation on N, then R is
- Let R be a relation on a set A such that R=R^ -1 . Then, R is
- If a set A has 13 elements and R is a reflexive relation on A with n elements, then
- If A= a,b,c,l,m,n , then the maximum number of elements in any relation on A is
- If A is a non-empty set, then which of the following is false? p: There is at least one reflexive relation on A q: There is at...
- Let X be the set of all engineering colleges in a state of the Indian Republic and R be a relation on X defined as: two colleges...
- Let R be a relation from a set A to a set B, then
- Let X be a family of sets and R be a relation on X defined by 'A is disjoint from B'. Then, R is
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