Jump to a section

Mathematics - Limits

Practise 80 NDA previous year questions on Limits, compiled from papers spanning 2010 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 NDA tests.

Limits has been asked in 17 of the 21 years of NDA papers analysed (2006–2026), with 80 questions in all. 28% of them were easy, 71% moderate and 1% tough. Most of its questions came from 2014, with 8 questions that year. In the last three years (2024–2026) it had 12 questions across 5 papers, about 2.4 per paper.

The chapter's 6 topics are not weighted equally: Algebraic and Rational Limits (50 questions, 63%), Existance of Limit (21 questions, 26%), and Special Forms (4 questions, 5%) have been asked the most. Algebraic and Rational Limits has also led over the last five years, with 13 questions. Existance of Limit has produced the most tough questions (1).

  1. 1What is equal to, where is a natural number ?2026 (Phase 1)Algebraic and Rational Limits
  2. 2What is equal to ?2026 (Phase 1)Exponential and logarithmic limits
  3. 3Consider the following for the two (02) items that follow: Let the function , where is the greatest integer function and . What is equal to?2025 (Phase 1)Existance of Limit
  4. 4Consider the following for the two (02) items that follow: Let the function , where is the greatest integer function and . What is equal to?2025 (Phase 1)Existance of Limit
  5. 5Consider the following for the two (02) items that follow: Let the function . What is equal to?2025 (Phase 1)Algebraic and Rational Limits
  6. 6Consider the following for the two (02) items that follow: Let the function . What is equal to?2025 (Phase 1)Algebraic and Rational Limits
  7. 7For the following two (02) items: Let What is equal to?2025 (Phase 2)Trigonometric and Inverse Trigonometric limits
  8. 8For the following two (02) items: Let What is equal to?2025 (Phase 2)Algebraic and Rational Limits
  9. 9For the following three (03) items: Consider the function . What is equal to?2025 (Phase 2)Algebraic and Rational Limits
  10. 10Let and , where [.] is the greatest integer function. Let What is equal to?2024 (Phase 1)Existance of Limit
  11. 11Which one of the following is correct regarding2024 (Phase 2)Existance of Limit
  12. 12What is equal to?2024 (Phase 2)Algebraic and Rational Limits
  13. 13What is equal to?2023 (Phase 1)Existance of Limit
  14. 14What is equal to?2023 (Phase 1)Algebraic and Rational Limits
  15. 15Let and . What is equal to?2023 (Phase 2)Algebraic and Rational Limits
  16. 16Let and . What is equal to?2023 (Phase 2)Special Forms
  17. 17Let and , where [.] is the greatest integer function. Let . What is equal to?2023 (Phase 2)Existance of Limit
  18. 18Let and , where [.] is the greatest integer function. Let . What is equal to?2023 (Phase 2)Existance of Limit
  19. 19Let What is equal to?2023 (Phase 2)Existance of Limit
  20. 20What is equal to?2022 (Phase 1)Algebraic and Rational Limits
  21. 21What is equal to?2022 (Phase 1)Algebraic and Rational Limits
  22. 22What is equal to?2022 (Phase 2)Algebraic and Rational Limits
  23. 23What is equal to?2022 (Phase 2)Algebraic and Rational Limits
  24. 24If then what is equal to?2022 (Phase 2)Existance of Limit
  25. 25What is equal to?2022 (Phase 2)Algebraic and Rational Limits
  26. 26If then what is the value of ?2021 (Phase 1)Algebraic and Rational Limits
  27. 27What is equal to?2021 (Phase 1)Algebraic and Rational Limits
  28. 28If a differentiable function satisfies then what is equal to?2021 (Phase 1)Existance of Limit
  29. 29What is where , equal to?2021 (Phase 2)Algebraic and Rational Limits
  30. 30If , where [.] denotes the greatest integer function, then what is the right-hand limit of at ?2021 (Phase 2)Existance of Limit
  31. 31What is equal to?2020Algebraic and Rational Limits
  32. 32What is equal to ?2020Algebraic and Rational Limits
  33. 33If , where , then what is the value of ?2020Algebraic and Rational Limits
  34. 34What is equal to?2020Algebraic and Rational Limits
  35. 35is equal to2019 (Phase 1)Algebraic and Rational Limits
  36. 36What is the value of ?2019 (Phase 2)Algebraic and Rational Limits
  37. 37What is equal to?2018 (Phase 1)Algebraic and Rational Limits
  38. 38What is equal to?2018 (Phase 1)Algebraic and Rational Limits
  39. 39If the function is continuous at each point in its domain, then what is the value of ?2018 (Phase 2)Algebraic and Rational Limits
  40. 40What is equal to?2018 (Phase 2)Algebraic and Rational Limits
  41. 41What is to?2018 (Phase 2)Algebraic and Rational Limits
  42. 42What is equal to?2017 (Phase 1)Algebraic and Rational Limits
  43. 43Consider the following statements: 1. If and both exist, then exists. 2. If exists, then both and must exist. Which of the above statements 2017 (Phase 1)Existance of Limit
  44. 44If and , then which one of the following is correct?2017 (Phase 2)Algebraic and Rational Limits
  45. 45Consider the function where denotes the greatest integer function. What is equal to?2016 (Phase 1)Existance of Limit
  46. 46Consider the function where denotes the greatest integer function. What is equal to?2016 (Phase 1)Existance of Limit
  47. 47If , where , then what is equal to?2016 (Phase 1)Existance of Limit
  48. 48What is equal to?2016 (Phase 1)Special Forms
  49. 49Paragraph: Let , where . g(x)= x R$. Question: Which one of the following statements is correct?2016 (Phase 2)Existance of Limit
  50. 50Given that . What is the value of A?2015 (Phase 1)Algebraic and Rational Limits

Frequently Asked Questions

1.How many questions are available for Limits?

This chapter includes 80 questions compiled from NDA papers spanning 2010 to 2026.

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

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

3.Is Limits an important chapter for NDA Mathematics?

Limits has appeared in 17 of the 17 years of NDA papers covered here, with 80 questions across 31 papers - about 3 per paper it appears in.

4.What is the difficulty level of Limits questions in NDA?

Of the 80 questions analysed for this chapter, 28% are easy, 71% moderate and 1% tough. 2014 had the most, with 8 questions.

5.Which topics in Limits should I focus on?

These topics have carried the most weightage in Limits:

  • Algebraic and Rational Limits - 50 questions (63%)
  • Existance of Limit - 21 questions (26%)
  • Special Forms - 4 questions (5%)
  • Existance of Limit has produced the most tough questions (1).
6.Is Limits's weightage in NDA going up or down?

Across all 31 papers analysed, Limits has averaged about 2.6 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 2.4 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.