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Mathematics - Sets and Relations

Practise 7 JEE Advanced previous year questions on Sets and Relations, compiled from papers spanning 2010 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty JEE Advanced tests.

Sets and Relations has been asked in 6 of the 27 years of JEE Advanced papers analysed (2000–2026), with 7 questions in all. 43% of them were easy, 29% moderate and 29% tough. Most of its questions came from 2024, with 2 questions that year. In the last three years (2024–2026) it had 4 questions across 6 papers, about 0.7 per paper.

The chapter's 2 topics are not weighted equally: Questions on number of relations and sets (6 questions, 86%) and Questions on Venn Diagram (1 question, 14%) have been asked the most. Questions on number of relations and sets has also led over the last five years, with 4 questions. Questions on number of relations and sets has produced the most tough questions (2).

  1. 1Let . Consider the set is an equivalence relation on the set such that has exactly elements . Then the number of elements in is ____________2026 (Paper 1)Questions on number of relations and sets
  2. 2Let the set of all relations on the set , such that is reflexive and symmetric, and contains exactly 10 elements, be denoted by . Then the n2025 (Paper 1)Questions on number of relations and sets
  3. 3If , then the value of is2024 (Paper 2)Questions on number of relations and sets
  4. 4If the value of is , then is Let \(S=\{1,2,3,4,5,6\}\) and \(X\) be the set of all relations \(R\) from \(S\) to \(S\) that satisfy both the2024 (Paper 2)Questions on number of relations and sets
  5. 5In a study about a pandemic, data of 900 persons was collected. It was found that 190 persons had symptom of fever, 220 persons had symptom 2022 (Paper 1)Questions on Venn Diagram
  6. 6Let S = 1,2 , 3 , . 9 . For k = 1,2 , 5 , let N k be the number of subsets of S , each containing five elements out of which exactly k are o2017 (Paper 2)Questions on number of relations and sets
  7. 7Let . The total number of unordered pairs of disjoint subsets of is equal to2010 (Paper 2)Questions on number of relations and sets

Frequently Asked Questions

1.How many questions are available for Sets and Relations?

This chapter includes 7 questions compiled from JEE Advanced papers spanning 2010 to 2026.

2.Are these questions only from JEE Advanced, or from other exams too?

These are JEE Advanced questions specifically for the Sets and Relations chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Sets and Relations an important chapter for JEE Advanced Mathematics?

Sets and Relations has appeared in 6 of the 21 years of JEE Advanced papers covered here, with 7 questions across 6 papers - about one per paper it appears in.

4.What is the difficulty level of Sets and Relations questions in JEE Advanced?

Of the 7 questions analysed for this chapter, 43% are easy, 29% moderate and 29% tough. 2024 had the most, with 2 questions.

5.Which topics in Sets and Relations should I focus on?

These topics have carried the most weightage in Sets and Relations:

  • Questions on number of relations and sets - 6 questions (86%)
  • Questions on Venn Diagram - 1 question (14%)
  • Questions on number of relations and sets has produced the most tough questions (2).
6.Is Sets and Relations's weightage in JEE Advanced going up or down?

Across all 6 papers analysed, Sets and Relations has averaged about 1.2 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.7 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.