Limit Continuity And Differentiability — NDA Previous Year Questions

49 solved PYQs · 2021–2025 · Mathematics

Solved PYQs: 49
Years covered: 2021–2025
Avg / year: ~10
Subject: Mathematics

How many NDA questions come from Limit Continuity And Differentiability?

Limit Continuity And Differentiability has contributed 49 questions to National Defence Academy Examination papers between 2021 and 2025 — an average of about 10 questions a year. That count is measured from EByAi’s bank of 15,695 NDA questions, not estimated from a syllabus. Every one of the 49 questions carries a written, step-by-step solution, and each is tagged to Limit Continuity And Differentiability within Mathematics, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Limit Continuity And Differentiability questions from real NDA papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 49 Limit Continuity And Differentiability questions (with full written solutions) are available in practice.

Question 1 · NDA 2025
If the function is continuous, then what is the value of k?
1. (A) $0.5$
2. (B) $1$
3. (C) $1.5$
4. (D) $2$
Show answerAnswer
$Answer: (A) 0.5$
Question 2 · NDA 2025
Consider the following statements:

I. The function is continuous at x=−1.

II. The function is differentiable at x=1.

Which of the statements given above is/are correct?
1. (A) $I only$
2. (B) $II only$
3. (C) $Both I and II$
4. (D) $Neither I nor II$
Show answerAnswer
$Answer: (D) Neither I nor II$
Question 3 · NDA 2025
Consider the following statements:

I. The function is differentiable at x = 3

II. The function is differentiable at x = 4

Which of the statements given above is/are correct?
1. (A) $I only$
2. (B) $II only$
3. (C) $Both I and II$
4. (D) $Neither I nor II$
Show answerAnswer
$Answer: (D) Neither I nor II$
Question 4 · NDA 2025
Consider the following statements:

I. The function is increasing in the interval (-∞,∞),

II. The function is differentiable at x = 0

Which of the statements given above is/are correct?
1. (A) $I only$
2. (B) $II only$
3. (C) $Both I and II$
4. (D) $Neither I nor II$
Show answerAnswer
$Answer: (C) Both I and II$
Question 5 · NDA 2024
Consider the following statements :

I. f(x) is continuous at x = 0.

II. f(x) is continuous at x = 1

Which of the statements given above is/are correct?
1. (A) $I only$
2. (B) $II only$
3. (C) $Both I and II$
4. (D) $Neither I nor II$
Show answerAnswer
$Answer: (B) II only$

Limit Continuity And Differentiability questions by year

Year	Questions	Share of chapter questions
2025	12
2024	5
2023	15
2022	7
2021	10

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FAQs

How many NDA questions have been asked from Limit Continuity And Differentiability?

EByAi's bank holds 49 real NDA questions from Limit Continuity And Differentiability, asked between 2021 and 2025 — about 10 per year on average. Every count is measured from actual papers, not estimated.

Is Limit Continuity And Differentiability important for NDA?

49 questions over 5 papers make Limit Continuity And Differentiability a steady-weightage chapter in NDA Mathematics. The year-wise table above shows exactly how often it appears.

Can I solve Limit Continuity And Differentiability PYQs online for free?

Yes. EByAi lets you solve NDA past-year questions in the browser with written solutions — free daily practice, no card needed.

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