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Mathematics - Sets and Relations

Practise 51 COMEDK previous year questions on Sets and Relations, compiled from papers spanning 2014 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 COMEDK tests.

Sets and Relations has been asked in 12 of the 15 years of COMEDK papers analysed (2012–2026), with 51 questions in all. 86% of them were easy, 14% moderate and 0% tough. Most of its questions came from 2025, with 11 questions that year. In the last three years (2024–2026) it had 26 questions across 10 papers, about 2.6 per paper.

The chapter's 3 topics are not weighted equally: Questions on number of relations and sets (31 questions, 61%), Questions on Venn Diagram (12 questions, 24%), and Questions on Symmetric Transitive and Reflexive Properties (8 questions, 16%) have been asked the most. Questions on number of relations and sets has also led over the last five years, with 20 questions.

  1. 1If $B = \{2x + 3 : 0 x true09 May, 2026 (S1)Questions on number of relations and sets
  2. 2The set expression is equivalent to09 May, 2026 (S1)Questions on Venn Diagram
  3. 3Let A and B be two subsets of such that Then equals09 May, 2026 (S2)Questions on Venn Diagram
  4. 4Given the sets ; and identify which of the following statement is incorrect .09 May, 2026 (S2)Questions on Venn Diagram
  5. 5Set is a prime number less than 4 Then set and are25 May, 2025 (Shift)Questions on number of relations and sets
  6. 6If is a relation defined on the set of all natural numbers defined by if and only if divides , for all the R is25 May, 2025 (Shift)Questions on Symmetric Transitive and Reflexive Properties
  7. 7Set is a multiple of 4 less than 40 is an odd multiple of 7 less than 50 is a multiple of 6 less than 50 Then25 May, 2025 (Shift)Questions on Venn Diagram
  8. 8Identify the correct statement10 May, 2025 (S1)Questions on Venn Diagram
  9. 9If and and then the number of elements in is equal to10 May, 2025 (S1)Questions on number of relations and sets
  10. 10Let R be a relation on natural numbers defined by . The domain of R is10 May, 2025 (S1)Questions on number of relations and sets
  11. 11If then10 May, 2025 (S2)Questions on Venn Diagram
  12. 12For real numbers and is an irrational number. Then the relation R is:10 May, 2025 (S2)Questions on Symmetric Transitive and Reflexive Properties
  13. 13The relation on the set is10 May, 2025 (S3)Questions on Symmetric Transitive and Reflexive Properties
  14. 14If and , where is set of natural numbers, then10 May, 2025 (S3)Questions on number of relations and sets
  15. 15Two finite sets have and elements. The total number of proper subsets of the first set is 119 more than the total number of subsets of the s10 May, 2025 (S3)Questions on number of relations and sets
  16. 16A relation is defined from to . If and are co prime numbers. Then range of is2024 (Afternoon Shift)Questions on number of relations and sets
  17. 17Preview not available - open to view this question.2024 (Afternoon Shift)Questions on Venn Diagram
  18. 18Preview not available - open to view this question.2024 (Afternoon Shift)Questions on number of relations and sets
  19. 19Which of the following relations on the set of real numbers is an equivalence relation?2024 (Evening Shift)Questions on Symmetric Transitive and Reflexive Properties
  20. 20Two finite sets have ' ' and ' ' number of elements respectively. The total number of subsets of the first set is 112 more than the total nu2024 (Evening Shift)Questions on number of relations and sets
  21. 21The shaded region in the Venn diagram represents2024 (Evening Shift)Questions on Venn Diagram
  22. 22If and then number of relation from set to the set is2024 (Memory Based)Questions on number of relations and sets
  23. 23If and , then is2024 (Memory Based)Questions on Venn Diagram
  24. 24Preview not available - open to view this question.2024 (Morning Shift)Questions on Venn Diagram
  25. 25Preview not available - open to view this question.2024 (Morning Shift)Questions on number of relations and sets
  26. 26Express the set in set builder form2024 (Morning Shift)Questions on number of relations and sets
  27. 27Which of the following is a singleton set?2023 (Evening Shift)Questions on number of relations and sets
  28. 28Let and be the set of all positive divisors of 400 and 1000 respectively (including 1 and the number). Then is equal to2023 (Evening Shift)Questions on number of relations and sets
  29. 29In the set of whole numbers an equivalence relation is defined as follows iff both leave the same reminder when divided by 5. The equivalenc2023 (Evening Shift)Questions on number of relations and sets
  30. 30If and then is equal to2023 (Memory Based)Questions on number of relations and sets
  31. 31If and , then the numbers of relations from the set to the set is2023 (Memory Based)Questions on number of relations and sets
  32. 32If and , then the numbers of relations from the set to the set is2023 (Morning Shift)Questions on number of relations and sets
  33. 33If and then is equal to2023 (Morning Shift)Questions on number of relations and sets
  34. 34If and , then is equal to2022Questions on Venn Diagram
  35. 35Total number of elements in the power set of containing 17 elements is2022Questions on number of relations and sets
  36. 36Total number of elements in the power set of containing 15 elements is2021Questions on number of relations and sets
  37. 37In the group , where , is multiplication modulo 15 , the identity element is2020Questions on number of relations and sets
  38. 38A group has 10 elements. The minimum number of elements of , which are their own inverses is2020Questions on number of relations and sets
  39. 39- On the set , of all integers * is defined by . If , then2019Questions on Symmetric Transitive and Reflexive Properties
  40. 40is a relation on given by . Which of the following belongs of ?2019Questions on Symmetric Transitive and Reflexive Properties
  41. 41The set is not a multiplicative group because of the failure of2019Questions on Symmetric Transitive and Reflexive Properties
  42. 42If and , then is2017Questions on number of relations and sets
  43. 43The total number of subsets of a finite set has 56 more elements than the total number of subsets of another finite set . What is the number2017Questions on number of relations and sets
  44. 44If and , then2016Questions on number of relations and sets
  45. 45A subset of the additive group of real numbers which is not a sub group, is2016Questions on number of relations and sets
  46. 46If two sets and have 99 elements in common, then the number of elements common to the sets and is2015Questions on number of relations and sets
  47. 47If a class of 175 students the following data shows the number of students opting one or more subjects. Mathematics 100 , Physics 70 , Chemi2015Questions on Venn Diagram
  48. 48If a set has 4 elements, then the total number of proper subsets of set , is2015Questions on number of relations and sets
  49. 49Which of the following is an empty set?2014Questions on number of relations and sets
  50. 50The number of proper subsets of a set having elements is2014Questions on number of relations and sets

Frequently Asked Questions

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

This chapter includes 51 questions compiled from COMEDK papers spanning 2014 to 2026.

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

These are COMEDK 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 COMEDK Mathematics?

Sets and Relations has appeared in 12 of the 15 years of COMEDK papers covered here, with 51 questions across 21 papers - about 2 per paper it appears in.

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

Of the 51 questions analysed for this chapter, 86% are easy, 14% moderate and 0% tough. 2025 had the most, with 11 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 - 31 questions (61%)
  • Questions on Venn Diagram - 12 questions (24%)
  • Questions on Symmetric Transitive and Reflexive Properties - 8 questions (16%)
6.Is Sets and Relations's weightage in COMEDK going up or down?

Across all 21 papers analysed, Sets and Relations has averaged about 2.4 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 2.6 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.