Sets And Relations — JEE Main Previous Year Questions

How many JEE Main questions come from Sets And Relations?

Sets And Relations has contributed 112 questions to Joint Entrance Examination (Main) papers between 2016 and 2026 — an average of about 11 questions a year. That count is measured from EByAi’s bank of 55,289 JEE Main questions, not estimated from a syllabus. Every one of the 112 questions carries a written, step-by-step solution, and each is tagged to Sets And Relations within Mathematics, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Sets And Relations questions from real JEE Main papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 112 Sets And Relations questions (with full written solutions) are available in practice.

1. Question 1 · JEE Main 2025

   Let A = {0, 1, 2, 3, 4, 5}. Let R be a relation on A defined by (x, y) ∈ R if and only if max{x, y} ∈ {3, 4}. Then among the statements (S 1): The number of elements in R is 16, and (S 2): The relation R is symmetric but neither reflexive nor transitive
   1. (A)both are false
   2. (B)only (S 1 ) is true
   3. (C)only (S 2 ) is true
   4. (D)both are true
   Show answerAnswer

   Answer: (C) only (S 2 ) is true

2. Question 2 · JEE Main 2021

   Which of the following is not correct for relation R on the set of real numbers ?
   1. (A)(x, y) $\in$ R $\iff$ 0 < |x| $-$ |y| $\le$ 1 is neither transitive nor symmetric.
   2. (B)(x, y) $\in$ R $\iff$ 0 < |x $-$ y| $\le$ 1 is symmetric and transitive.
   3. (C)(x, y) $\in$ R $\iff$ |x| $-$ |y| $\le$ 1 is reflexive but not symmetric.
   4. (D)(x, y) $\in$ R $\iff$ |x $-$ y| $\le$ 1 is reflexive and symmetric.
   Show answerAnswer

   Answer: (B) (x, y) $\in$ R $\iff$ 0 < |x $-$ y| $\le$ 1 is symmetric and transitive.

3. Question 3 · JEE Main 2021

   Let R = {(P, Q) | P and Q are at the same distance from the origin} be a relation, then the equivalence class of (1, -1) is the set :
   1. (A)$$S=\{(x,y)|x^2+y^2=\sqrt{2}\}$$
   2. (B)$$S=\{(x,y)|x^2+y^2=2\}$$
   3. (C)$$S=\{(x,y)|x^2+y^2=1\}$$
   4. (D)$$S=\{(x,y)|x^2+y^2=4\}$$
   Show answerAnswer

   Answer: (B) $S=\{(x,y)|x^2+y^2=2\}$

4. Question 4 · JEE Main 2021

   Out of all the patients in a hospital 89% are found to be suffering from heart ailment and 98% are suffering from lungs infection. If K% of them are suffering from both ailments, then K cannot belong to the set:
   1. (A){80, 83, 86, 89}
   2. (B){84, 86, 88, 90}
   3. (C){79, 81, 83, 85}
   4. (D){84, 87, 90, 93}
   Show answerAnswer

   Answer: (C) {79, 81, 83, 85}

5. Question 5 · JEE Main 2020

   A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percentage of them, who like both coffee and tea, then x cannot be :
   1. (A)63
   2. (B)36
   3. (C)54
   4. (D)38
   Show answerAnswer

   Answer: (B) 36

Sets And Relations questions by year

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