JEE Main 2022 — Sets and Relations Questions with Solutions

Let A = 1 , a 1 , a 2 … … a 18 , 77 be a set of integers with 1 < a 1 < a 2 < … . . <…

Let R 1 and R 2 be two relations defined on ℝ by a R 1 b ⇔ a b ≥ 0 and a   R 2 b ⇔ a &#880…

The sum of all the elements of the set α ∈ 1 , 2 , … . . 100 : H C F α , 24 = 1 is

Let a set A = A 1 ∪ A 2 ∪ … ∪ A k , where A i ∩ A j = ϕ for i ≠ j ;   1 &…

Let R 1 = a , b ∈ N × N : a - b ≤ 13 and R 2 = a , b ∈ N × N : a - b ≠ 13 Then on N :

Let A = 1 , 2 , 3 , 4 , 5 , 6 , 7 and B = 3 , 6 , 7 , 9 . Then the number of elements in the set C ⊆ A : C &#8745…

Let A = 1 , 2 , 3 , 4 , 5 , 6 , 7 . Define B = { T ⊆ A : either 1 ∉ T or 2 ∈ T } and C = { T ⊆…

Let R be a relation from the set 1 , 2 , 3 … … … , 60 to itself such that R = { a , b : b = p q , whe…

Let A = n ∈   N : H . C . F .   n , 45 = 1 and let B = 2 k : k ∈ 1 , 2 , … , 100 . Then the…

For α ∈ N , consider a relation R on N given by R = { x , y : 3 x + α y is a multiple of 7 }. The relat…