Suppose A = {a, b, c, d} and B = {p, q, r, s} are two sets. Consider the following relations on A \times B. - R_1 = {(a, p), (c, r), (d, q)} - R_2 = {(a, s), (b, s), (c, p), (d, r)} - R_3 = {(a, p), (b, r), (b, s), (d, q)} - R_4 = {(a, r), (b, p), (c, q), (d, s)} Which of the following statements are correct?

(D) R4 is a bijective function.

(A) R2,R3, and R4 are functions.

(C) R2 is an injective function.

Mathematics for Data Science I · End Term · 28 Apr 2024 · January 2024 term · Set QDF3

Question 4: Suppose A = {a, b, c, d} and B = {p, q, r, s} are two set…

Question 4

+4 marksOne or more correct options

Suppose $A = \{a, b, c, d\}$ and $B = \{p, q, r, s\}$ are two sets. Consider the following relations on $A \times B$ .

$R_1 = \{(a, p), (c, r), (d, q)\}$
$R_2 = \{(a, s), (b, s), (c, p), (d, r)\}$
$R_3 = \{(a, p), (b, r), (b, s), (d, q)\}$
$R_4 = \{(a, r), (b, p), (c, q), (d, s)\}$

Which of the following statements are correct?

Select all that apply.

A
R2,R3, and R4 are functions.
B
R2 and R4 are functions.
C
R2 is an injective function.
D
R4 is a bijective function.

Show answer

Correct answers

B
R2 and R4 are functions.
D
R4 is a bijective function.

See the whole paper Take it as a mock test

Question 4 of 23 in the IIT Madras BS Mathematics for Data Science I (Maths 1) End Term paper sat on 28 Apr 2024, in the January 2024 term (IIT M FOUNDATION DIPLOMA AN EXAM QDF3 28 Apr 2024). It carries 4 marks.

This question was also asked in

Maths 1 End Term — 28 Apr 2024, Set QDF1 · question 3

Question 4: Suppose A = {a, b, c, d} and B = {p, q, r, s} are two set…

Question 4

This question was also asked in

More questions from this paper