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Mathematics - Continuity and Differentiability

Practise 25 COMEDK previous year questions on Continuity and Differentiability, compiled from papers spanning 2013 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.

Continuity and Differentiability has been asked in 12 of the 15 years of COMEDK papers analysed (2012–2026), with 25 questions in all. 36% of them were easy, 56% moderate and 8% tough. Most of its questions came from 2025, with 5 questions that year. In the last three years (2024–2026) it had 12 questions across 10 papers, about 1.2 per paper.

The chapter's 2 topics are not weighted equally: Continuity (18 questions, 72%) and Differentiability (7 questions, 28%) have been asked the most. Continuity has also led over the last five years, with 12 questions. Continuity has produced the most tough questions (2).

  1. 1If is continuous at , then09 May, 2026 (S1)Continuity
  2. 2The function is differentiable for all values of ' ' except09 May, 2026 (S1)Differentiability
  3. 3The function is:09 May, 2026 (S2)Differentiability
  4. 4If is continuous at , then25 May, 2025 (Shift)Continuity
  5. 5If and the function is discontinuous at , then10 May, 2025 (S1)Continuity
  6. 6The function is discontinuous at10 May, 2025 (S2)Continuity
  7. 7Let then at is10 May, 2025 (S3)Differentiability
  8. 8The relationship between a and b for the continuous function at is10 May, 2025 (S3)Continuity
  9. 9Preview not available - open to view this question.2024 (Afternoon Shift)Continuity
  10. 10Preview not available - open to view this question.2024 (Evening Shift)Differentiability
  11. 11If , then2024 (Memory Based)Continuity
  12. 12Then will be continues function at , then2024 (Morning Shift)Continuity
  13. 13Preview not available - open to view this question.2023 (Evening Shift)Continuity
  14. 14If continuous on , then2023 (Memory Based)Continuity
  15. 15If and it is continuous on , then2023 (Morning Shift)Continuity
  16. 16If the derivative of the function is everywhere continuous, then2022Continuity
  17. 17If , then the values of for which is continuous for all are2021Continuity
  18. 18If the function is continuous at , then the value of is2020Continuity
  19. 19Then which of the following is true?2019Continuity
  20. 20Which of the following functions is differentiable at ?2018Differentiability
  21. 21The function is undefined at . The value which should be assigned to at so that it is continuous at is2018Continuity
  22. 22Which one of the following is not true always?2016Differentiability
  23. 23If is a function such that and and , then2016Differentiability
  24. 24If , then is continuous at , provided is equal to2014Continuity
  25. 25If is continuous at , then the value of is2013Continuity

Frequently Asked Questions

1.How many questions are available for Continuity and Differentiability?

This chapter includes 25 questions compiled from COMEDK papers spanning 2013 to 2026.

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

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

3.Is Continuity and Differentiability an important chapter for COMEDK Mathematics?

Continuity and Differentiability has appeared in 12 of the 15 years of COMEDK papers covered here, with 25 questions across 21 papers - about one per paper it appears in.

4.What is the difficulty level of Continuity and Differentiability questions in COMEDK?

Of the 25 questions analysed for this chapter, 36% are easy, 56% moderate and 8% tough. 2025 had the most, with 5 questions.

5.Which topics in Continuity and Differentiability should I focus on?

These topics have carried the most weightage in Continuity and Differentiability:

  • Continuity - 18 questions (72%)
  • Differentiability - 7 questions (28%)
  • Continuity has produced the most tough questions (2).
6.Is Continuity and Differentiability's weightage in COMEDK going up or down?

Across all 21 papers analysed, Continuity and Differentiability has averaged about 1.2 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 1.2 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.