Question

Sherlin and Danju are playing Ludo at home during Covid-19. While rolling the dice, Sherlin’s sister Raji observed and noted the possible outcomes of the throw every time belongs to set {1,2,3,4,5,6}. Let A be the set of players while B be the set of all possible outcomes.

A = {S, D}, B = {1,2,3,4,5,6}

• Let R ∶ B → B be defined by R = {(x, y): y is divisible by x} is ____________.

Options

• Reflexive and transitive but not symmetric

• Reflexive and symmetric and not transitive

• Not reflexive but symmetric and transitive

• Equivalence

Answer 1

Let R ∶ B → B be defined by R = {(x, y): y is divisible by x } is Reflexive and transitive but not symmetric.