##
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}

##
**
Question 1
**

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

(a) Reflexive and transitive but not symmetric

(b) Reflexive and symmetric and not transitive

(c) Not reflexive but symmetric and transitive

(d) Equivalence

##
**
Question 2 – Concept (Number of functions)
**

##
Raji wants to know the number of functions from A to B. How many number of functions are possible?

(a) 6
^{
2
}
(b) 2
^{
6
}
(c) 6! (d) 2
^{
12
}

##
**
Question 2
**

##
Raji wants to know the number of functions from A to B. How many number of functions are possible?

(a) 6
^{
2
}
(b) 2
^{
6
}
(c) 6! (d) 2
^{
12
}

##
**
Question 3
**

##
Let R be a relation on B defined by R = {(1, 2), (2, 2), (1, 3), (3, 4), (3, 1), (4, 3), (5, 5)}. Then R is

(a) Symmetric

(b) Reflexive

(c) Transitive

(d) None of these three

##
**
Question 4
**

##
Raji wants to know the number of relations possible from A to B. How many numbers of relations are possible?

(a) 6
^{
2
}
(b) 2
^{
6
}
(c) 6! (d) 2
^{
12
}

##
**
Question 5
**

##
Let 𝑅: 𝐵 → 𝐵 be defined by R = {(1, 1), (1, 2), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}, then R is

(a) Symmetric

(b) Reflexive and Transitive

(c) Transitive and symmetric

(d) Equivalence