120 JEE Main Sets and Relations PYQs (2004–2026) with verified answers and step-by-step solutions.
This page collects every JEE Main Sets and Relations previous-year question from Mathematics, 2004–2026. Each links to a full solution with a verified answer key. Click any year above to narrow the list, or open a question to study its step-by-step working and then practice it on PrepSharp's CBT player.
Let A=\-2,-1,0,1,2,3,4\. Let R be a relation on A defined by x Ry if and only if 2 x+y 2. Let l be the number of elemen…
Consider the relation R on the set \-2,-1,0,1,2\ defined by (a, b) R if and only if 1+ab > 0. Then, among the statement…
The number of elements in the relation R= \(x, y): 4 x²+y²<52, x, y Z \ is
Let R = \(x, y) N × N : (x + y) ≤ 2\. Then the minimum number of elements, required to be added in R to make it a trans…
Let A=\0,1,2, …, 9\. Let R be a relation on A defined by (x, y) R if and only if |x-y| is a multiple of 3. Given below…
Let A = \2, 3, 4, 5, 6\. Let R be a relation on the set A × A given by (x, y) R (z, w) if and only if x divides z and y…
Let the relation R on the set M=\1,2,3, …, 16\ be given by R=\(x, y): 4 y=5 x-3, x, y M\. Then the minimum number of el…
Let R be a relation defined on the set \1,2,3,4 ×\1,2,3,4\ by R=\((a, b),(c, d)): 2 a+3 b=3 c+4 d\. Then the number of…
Let S be the set of the first 11 natural numbers. Then the number of elements in A=\B S: n(B) 2 and the product of all…
Let A=\2,3,5,7,9\. Let R be the relation on A defined by x R y if and only if 2 x ≤ 3 y. Let l be the number of element…
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