Mathematics questions
18011 published questions with worked solutions.
- If a relation R is defined as aRb if "a is the father of b", then R is
- The relation R= (1,1),(2,2),(3,3),(1,2),(2,3),(1,3) on the set A= 1,2,3 is
- Let A= ONGC , BHEL , SAIL , GAIL , IOCL and R be a relation defined as "two elements of A are related if they share exactly one...
- Let R be a relation on the set N defined by (x,y) x,y N, 2x+y=41 . Then, R is
- If R is a relation from a set A to a set B and S is a relation from B to a set C, then the relation S R
- Let R be an equivalence relation on a finite set A having n elements. Then, the number of ordered pairs in R is
- The relation R defined in N as aRb b is divisible by a is
- Let A be the non-void set of the children in a family. The relation 'x is an elder brother of y' on A is
- Let A= 1,2,3,4 and let R= (2,2),(3,3),(4,4),(1,2) be a relation on A. Then, R is
- 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