21 JEE Main 2023 Sets and Relations previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2023 previous-year questions from the Sets and Relations chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Sets and Relations chapter hub.
The number of relations, on the set 1 ,   2 ,   3 containing 1 ,   2 and 2 ,   3 which are reflexiv…
Let A = 1 , 2 , 3 , 4 , . . . . . . . . . . 10 and B = 0 , 1 , 2 , 3 , 4 . The number of elements in the relation R = (…
Let R be a relation on ℝ , given by R = { a , b : 3 a - 3 b + 7 is an irrational number } . Then R is
The relation R = a , b : g c d a , b = 1 ,   2 a ≠ b ,   a ,   b ∈ ℤ is:
Let A = 0 , 3 , 4 , 6 , 7 , 8 , 9 , 10 and R be the relation defined on A such that R x , y ∈ A × A : x - y…
Let A = 1 , 3 , 4 , 6 , 9 and B = 2 , 4 , 5 , 8 , 10 . Let R be a relation defined on A × B such that R = a 1 , b…
In a group of 100 persons 75 speak English and 40 speak Hindi. Each person speaks at least one of the two languages. If…
Let the number of elements in sets A and B be five and two respectively. Then the number of subsets of A × B each…
The minimum number of elements that must be added to relation R = a , b , b , c , b , d on the set a , b , c , d , so t…
The number of elements in the set n ∈ ℤ : n 2 - 10 n + 19 < 6 is _______ .
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