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Mathematics - Sets and Relations

Practise 37 WBJEE previous year questions on Sets and Relations, compiled from papers spanning 2009 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 WBJEE tests.

Sets and Relations has been asked in 16 of the 18 years of WBJEE papers analysed (2009–2026), with 37 questions in all. 68% of them were easy, 32% moderate and 0% tough. Most of its questions came from 2014, with 5 questions that year. In the last three years (2024–2026) it had 6 questions across 3 papers, about 2 per paper.

The chapter's 3 topics are not weighted equally: Questions on Symmetric Transitive and Reflexive Properties (23 questions, 62%), Questions on number of relations and sets (10 questions, 27%), and Questions on Venn Diagram (4 questions, 11%) have been asked the most. Questions on Symmetric Transitive and Reflexive Properties has also led over the last five years, with 6 questions.

  1. 1On the set of real numbers the relation , defined by iff2026Questions on Symmetric Transitive and Reflexive Properties
  2. 2Let are six sets, each with four elements and are sets, each with two elements. Let . Given that each element of belongs to exactly four of 2026Questions on number of relations and sets
  3. 3The number of reflexive relations on a set of elements is equal to2025Questions on number of relations and sets
  4. 4Let A be the set of even natural numbers that are 8 & B be the set of prime integers that are 7 The number of relations from A to B are2024Questions on number of relations and sets
  5. 5In , a relation is defiened as follows : , a p b holds if . Then2024Questions on Symmetric Transitive and Reflexive Properties
  6. 6For the real numbers , we write y if is an irrational number. Then relation is2024Questions on Symmetric Transitive and Reflexive Properties
  7. 7Let \(A, B, C\) are subsets of set \(X\). Then consider the validity of the following set theoretic statement :2023Questions on Venn Diagram
  8. 8Let \(X\) be a nonvoid set. If \( _1\) and \( _2\) be the transitive relations on \(X\), then2023Questions on Symmetric Transitive and Reflexive Properties
  9. 9If \(R\) and \( {R}^1\) are equivalence relations on a set \(A\), then so are the relation2023Questions on Symmetric Transitive and Reflexive Properties
  10. 10Let and be two equivalence relations on a non-void set . Then2022Questions on Symmetric Transitive and Reflexive Properties
  11. 11Let be three non-void subsets of set . Let where denote the complement of set in S. Then2021Questions on number of relations and sets
  12. 12Let be the real line. Let the relations and on be defined by is an integer . Then2021Questions on Symmetric Transitive and Reflexive Properties
  13. 13Le the relation be defined on by a b holds if and only if is zero or irrational, then2020Questions on Symmetric Transitive and Reflexive Properties
  14. 14Let and be two equivalence relations defined on a non-void set . Then2020Questions on Symmetric Transitive and Reflexive Properties
  15. 15Let and be the subsets of , -plane defined by and , and . Then, is2019Questions on number of relations and sets
  16. 16Let the relation be defined on as if Then2019Questions on Symmetric Transitive and Reflexive Properties
  17. 17Let and are non-void subsets of , then (where the symbols have their usual interpretation)2019Questions on number of relations and sets
  18. 18On , a relation is defined by xpy if and only if is zero or irrational. Then.2018Questions on Symmetric Transitive and Reflexive Properties
  19. 19On the set of real numbers, the relation is defined by2018Questions on Symmetric Transitive and Reflexive Properties
  20. 20Let be a relation defined on , the set of natural numbers, as Then2018Questions on Symmetric Transitive and Reflexive Properties
  21. 21On the set of real numbers we define if and only if . Then, the relation is2017Questions on Symmetric Transitive and Reflexive Properties
  22. 22On , the relation be defined by 'xpy holds if and only if is zero or irrational'. Then,2017Questions on Symmetric Transitive and Reflexive Properties
  23. 23On set relations and are given by Then,2017Questions on Symmetric Transitive and Reflexive Properties
  24. 24On , the set of real numbers, a relation is defined as if and only if . Then,2017Questions on Symmetric Transitive and Reflexive Properties
  25. 25Let be a relation defined on the set of all integers and when is divisible by 3 , then2016Questions on Symmetric Transitive and Reflexive Properties
  26. 26If and then2016Questions on number of relations and sets
  27. 27Let , and are in where is the set of all natural numbers. Then, the number of elements in the set2015Questions on number of relations and sets
  28. 28A relation on the set of real number is defined as Then, which of the following is/are true?2015Questions on Symmetric Transitive and Reflexive Properties
  29. 29Let the number of elements of the sets and be and , respectively. Then, the number relations from the set to the set is2014Questions on number of relations and sets
  30. 30There is a group of 265 persons who like either singing or dancing or painting. In this group 200 like singing, 110 like dancing and 55 like2014Questions on Venn Diagram
  31. 31Let for all integers Then, is2014Questions on number of relations and sets
  32. 32For any two real numbers and we define . R if and only if . The relation is2014Questions on Symmetric Transitive and Reflexive Properties
  33. 33We define a binary relation - on the set of all real matrices as if and only if there exist invertible matrices and such that The binary rel2014Questions on Symmetric Transitive and Reflexive Properties
  34. 34In the set of all real matrices a relation is defined as follows. A matrix is related to a matrix if and only if there is a non-singular mat2013Questions on Symmetric Transitive and Reflexive Properties
  35. 35For any two real numbers and , we define if and only if . The relation is2013Questions on Symmetric Transitive and Reflexive Properties
  36. 36There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 fa2012Questions on Venn Diagram
  37. 37For any two sets and equals2009Questions on Venn Diagram

Frequently Asked Questions

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

This chapter includes 37 questions compiled from WBJEE papers spanning 2009 to 2026.

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

These are WBJEE 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 WBJEE Mathematics?

Sets and Relations has appeared in 16 of the 18 years of WBJEE papers covered here, with 37 questions across 16 papers - about 2 per paper it appears in.

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

Of the 37 questions analysed for this chapter, 68% are easy, 32% moderate and 0% tough. 2014 had the most, with 5 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 Symmetric Transitive and Reflexive Properties - 23 questions (62%)
  • Questions on number of relations and sets - 10 questions (27%)
  • Questions on Venn Diagram - 4 questions (11%)
6.Is Sets and Relations's weightage in WBJEE going up or down?

Across all 16 papers analysed, Sets and Relations has averaged about 2.3 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 2.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.