Sets and Relation questions
385 published questions with worked solutions.
- 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
- 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
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