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Mathematics - Determinants

Practise 30 COMEDK previous year questions on Determinants, compiled from papers spanning 2012 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.

Determinants has been asked in 14 of the 15 years of COMEDK papers analysed (2012–2026), with 30 questions in all. 40% of them were easy, 57% moderate and 3% tough. Most of its questions came from 2025, with 4 questions that year. In the last three years (2024–2026) it had 9 questions across 7 papers, about 1.3 per paper.

The chapter's 4 topics are not weighted equally: Expansion of Determinants (23 questions, 77%), System of Linear Equations (4 questions, 13%), and Miscellaneous (2 questions, 7%) have been asked the most. Expansion of Determinants has also led over the last five years, with 9 questions. Expansion of Determinants has produced the most tough questions (1).

  1. 1Given is the adjoint of a matrix A and , then the value of is:09 May, 2026 (S1)Adjoint and its Properties
  2. 2Let be a square matrix of order , where the elements are defined as then the value of is09 May, 2026 (S2)Expansion of Determinants
  3. 3Let A be a square matrix of order . If , then the value of is:09 May, 2026 (S2)Expansion of Determinants
  4. 4The sum of three numbers is 6 . Twice the third number, when added to the first number gives 7 , On adding the sum of the second and third n10 May, 2025 (S1)System of Linear Equations
  5. 5The cofactor of the element in the expansion of is10 May, 2025 (S2)Expansion of Determinants
  6. 6The cost of 4 kg onion, 3 kg wheat and 2 kg rice is ₹ 500. The cost of 1 kg onion, 2 kg wheat and 3 kg rice is ₹ 300 . The cost of 6 kg onio10 May, 2025 (S2)System of Linear Equations
  7. 7Value of the determinant of a matrix A of order is 7 . Then the value of the determinant formed by the cofactors of matrix A is10 May, 2025 (S3)Expansion of Determinants
  8. 8is independent of2024 (Afternoon Shift)Expansion of Determinants
  9. 9If is a singular matrix then is equal to2024 (Evening Shift)Expansion of Determinants
  10. 10If is a singular matrix, then is2023 (Evening Shift)Expansion of Determinants
  11. 11If is a singular matrix, then possible values of are2023 (Morning Shift)Expansion of Determinants
  12. 12If is a singular matrix, then the value of is2022Expansion of Determinants
  13. 13The value of is2020Expansion of Determinants
  14. 14If and then2019Expansion of Determinants
  15. 15The number of distinct real roots of in the interval is2018Expansion of Determinants
  16. 16If , the cofactor of are2017Miscellaneous
  17. 17If and , then2016Miscellaneous
  18. 18The value of2016Expansion of Determinants
  19. 19If are in , then the value of the determinant is2015Expansion of Determinants
  20. 20If , then is2015Expansion of Determinants
  21. 21If and , then2015Expansion of Determinants
  22. 22If are the roots of , then the value of is2014Expansion of Determinants
  23. 23is2014Expansion of Determinants
  24. 24is equal to2014Expansion of Determinants
  25. 25The value of is2013Expansion of Determinants
  26. 26The value of is2013Expansion of Determinants
  27. 27If the area of the triangle with vertices , and is sq units, then the value of is2013Expansion of Determinants
  28. 28If and , then is equal to2012System of Linear Equations
  29. 29If and , then is equal to2012System of Linear Equations
  30. 30If , then is equal to2012Expansion of Determinants

Frequently Asked Questions

1.How many questions are available for Determinants?

This chapter includes 30 questions compiled from COMEDK papers spanning 2012 to 2026.

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

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

3.Is Determinants an important chapter for COMEDK Mathematics?

Determinants has appeared in 14 of the 15 years of COMEDK papers covered here, with 30 questions across 19 papers - about 2 per paper it appears in.

4.What is the difficulty level of Determinants questions in COMEDK?

Of the 30 questions analysed for this chapter, 40% are easy, 57% moderate and 3% tough. 2025 had the most, with 4 questions.

5.Which topics in Determinants should I focus on?

These topics have carried the most weightage in Determinants:

  • Expansion of Determinants - 23 questions (77%)
  • System of Linear Equations - 4 questions (13%)
  • Miscellaneous - 2 questions (7%)
  • Expansion of Determinants has produced the most tough questions (1).
6.Is Determinants's weightage in COMEDK going up or down?

Across all 19 papers analysed, Determinants has averaged about 1.6 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.