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Mathematics - Continuity and Differentiability

Practise 27 WBJEE previous year questions on Continuity and Differentiability, 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.

Continuity and Differentiability has been asked in 12 of the 18 years of WBJEE papers analysed (2009–2026), with 27 questions in all. 26% of them were easy, 70% moderate and 4% tough. Most of its questions came from 2025, 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 2 topics are not weighted equally: Continuity (15 questions, 56%) and Differentiability (12 questions, 44%) have been asked the most. Continuity has also led over the last five years, with 6 questions. Differentiability has produced the most tough questions (1).

  1. 1For a real number , consider denotes the greatest integer less than or equal to . If , then2026Differentiability
  2. 2The set of points of discontinuity of the function is2025Continuity
  3. 3Let , then2025Continuity
  4. 4If , is everywhere differentiable, then2025Differentiability
  5. 5Let , where are the roots of the equation . Then the number of points in at which is not differentiable is2025Differentiability
  6. 6Let and be defined as follows :2025Differentiability
  7. 7Suppose \(f: {R} {R}\) be given by \(f(x)= \{ {array}{cc}1, { if } x=1 \\ e^{ (x^{10}-1 )}+(x-1)^2 {1}{x-1} {array} ., { if } x 1 { then }\)2023Differentiability
  8. 8Let \(f(x)= \{ {array}{cc}x+1, & -1 x 0 \\ -x, & 0 x 1 {array} .\)2023Continuity
  9. 9Let \(f(x)= [x^2 ] x, x > 0\). Then2023Continuity
  10. 10The values of for which the function is continuous at , are2022Continuity
  11. 11Let , where are real constants. Then is differentiable at2022Continuity
  12. 12and let , then2021Continuity
  13. 13Let be a continuous function that is differentiable in (1,3) an for all Then,2019Continuity
  14. 14Let and be differentiable on the interval and let . Then,2019Differentiability
  15. 15Let be such that is differentiable in is continuous at and and moreover . Then2018Continuity
  16. 16Let2018Continuity
  17. 17Let denotes the greatest integer less than or equal to . Then, the value of for which the function is continuous at is2015Continuity
  18. 18Let be defined as Then, which of the following is true?2015Differentiability
  19. 19Let be such that for all If is continuous at an then2015Continuity
  20. 20The function where denotes the greatest integer , is2014Differentiability
  21. 21The function is differentiable at when2014Differentiability
  22. 22Suppose that is a differentiable function such that is continuous, and does not exist. Let Then,2014Differentiability
  23. 23Let Then2014Differentiability
  24. 24If then2013Differentiability
  25. 25If the function \(f(x)= {cases} {x^2-(A+2) x+A}{x-2} & { for } x 2 \\ 2 & { for } x=2 {cases}\) is continuous at \(x=2\), then2011Continuity
  26. 26\(f(x)= \{ {array}{cc}{[x]+[-x],} & { when } x 2 \\ & { when } x=2 {array} .\) If \(f(x)\) is continuous at \(x=2\), the value of \( \) will2011Continuity
  27. 27is continuous for2009Continuity

Frequently Asked Questions

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

This chapter includes 27 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 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 WBJEE Mathematics?

Continuity and Differentiability has appeared in 12 of the 18 years of WBJEE papers covered here, with 27 questions across 12 papers - about 2 per paper it appears in.

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

Of the 27 questions analysed for this chapter, 26% are easy, 70% moderate and 4% 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 - 15 questions (56%)
  • Differentiability - 12 questions (44%)
  • Differentiability has produced the most tough questions (1).
6.Is Continuity and Differentiability's weightage in WBJEE going up or down?

Across all 12 papers analysed, Continuity and Differentiability 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.