Mathematics questions
18011 published questions with worked solutions.
- In the set A= 1,2,3,4,5 , a relation R is defined by R= (x,y):x,y A and x<y . Then, R is
- The void relation on a non-empty set A is
- Let A be the set of all students in a school. A relation R is defined on A as follows: "aRb iff a and b have the same class...
- Let A= p,q,r . Which of the following is an equivalence relation on A?
- Let A be the set of all animals. A relation R is defined as "aRb iff a and b are in different zoological parks". Then R is
- Let R be a relation defined on S, the set of squares on a chess board, such that xRy iff x=y or x and y share a common side....
- The relation 'is not equal to' defined on R is
- Consider the following statements: (i) Every reflexive relation is antisymmetric (ii) Every symmetric relation is antisymmetric...
- Let P= (x,y) x^2+y^2=1, x,y R be a relation on R. Then, P is
- Let R be a reflexive relation on a finite set A having n elements, and let there be m ordered pairs in R. Then,
- Which one of the following relations on R is an equivalence relation?
- If R is the relation < from A= 1,2,3,4 to B= 1,3,5 , i.e. (a,b) R a<b, then R R^ -1 is
- An integer m is said to be related to another integer n if m is a multiple of n. Then, the relation is
- Let R_1 be a relation defined by R_1= (a,b) a b, a,b R . Then, R_1 is
- X is the set of all residents in a colony and R is a relation defined on X as follows: "Two persons are related iff they have the...
- Consider the following statements: p: Every reflexive relation is a symmetric relation q: Every antisymmetric relation is...
- Let R= (a,a) be a relation on a set A. Then, R is
- For real numbers x and y, we write xRy x-y+ 2 is an irrational number. Then, the relation R is
- Set-builder form of the relation R= (-2,-7),(-1,-4),(0,-1),(1,2),(2,5) is
- Let n be a fixed positive integer. Define a relation R on the set Z of integers by aRb n a-b. Then, R is not