Consider the following relations on the set {1, 2, 3, 4}: R 1 = {(1, 1),(1, 2), (1, 4),(2, 1), (2, 2), (3, 3),(4, 1), (4, 4)} R 2 = {(2, 1), (3, 1), (3, 2), (4, 1), (4, 2), (4, 3)} R 3 = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 2), (2, 3 ), (2, 4), (3, 3), (3, 4), (4, 4)} R 4 = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 4), (4, 1), (4, 4)} Which of these relations are reflexive and transitive but NOT symmetric?

AAI ATC Junior Executive 27 Jul 2022 Shift 1 Paper

Question : 85 of 120

Marks: +1, -0

Consider the following relations on the set {1, 2, 3, 4}:
R₁ = {(1, 1),(1, 2), (1, 4),(2, 1), (2, 2), (3, 3),(4, 1), (4, 4)}
R₂ = {(2, 1), (3, 1), (3, 2), (4, 1), (4, 2), (4, 3)}
R₃ = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 2), (2, 3 ), (2, 4), (3, 3), (3, 4), (4, 4)}
R₄ = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 4), (4, 1), (4, 4)}
Which of these relations are reflexive and transitive but NOT symmetric?

R1, R3
R2, R4
R2
R3

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