Q30 of 109 Page 1

Let R be a relation on the set N of natural numbers defined by n R m iff n divides m. Then, R is

This question is quite self explanatory:


Reflexive: eg. m=5 and n=5 → 5 is divisible by 5


Transitive: 2 divides 4, 4 divides 40 and 2 also divedes 40.

More from this chapter

All 109 →
28

The relation S defined on the set R of all real number by the rule a Sb iff a ≥ b is

 29

The maximum number of equivalence relations on the set A = {1, 2, 3} is

 31

Let L denote the set of all straight lines in a plane. Let a relation R be defined by ℓ R m iff ℓ is perpendicular to m for all ℓ, m ϵ L. Then, R is

 32

Let T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as a R b if a is congruent to b for all a, b ϵ T. Then, R is