WBJEE 2018 Math Solved Paper

ρ = {(x, y) ∈ N × N, 2x + y = 41}
for reflexive relation x R x ⇒ 2x + x = 41 ⇒ x =

41

3

∉ N
for symmetric ⇒ x R y ‌‌‌‌‌ ⇒ 2x + y = 41 ≠ y R x (Not symmetric)
for transitive x R y ⇒ 2x + y = 41 and y R z ⇒ 2y + z = 41, not transitive
Ans. (D)