Functions — NDA Previous Year Questions

54 solved PYQs · 2021–2025 · Mathematics

Solved PYQs: 54
Years covered: 2021–2025
Avg / year: ~11
Subject: Mathematics

How many NDA questions come from Functions?

Functions has contributed 54 questions to National Defence Academy Examination papers between 2021 and 2025 — an average of about 11 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 54 questions carries a written, step-by-step solution, and each is tagged to Functions 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 Functions questions from real NDA papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 54 Functions questions (with full written solutions) are available in practice.

Question 1 · NDA 2025
If f(x) = px + q then what is the value of (p + q) ?
1. (A) $-1$
2. (B) $0$
3. (C) $1$
4. (D) $5$
Show answerAnswer
$Answer: (C) 1$
Question 2 · NDA 2024
What is the minimum value of the function f(x) = log10(x2 + 2x + 11)?
1. (A) $0$
2. (B) $1$
3. (C) $2$
4. (D) $10$
Show answerAnswer
$Answer: (B) 1$
Question 3 · NDA 2024
Let f(x) f(y) = f(xy) for all real x, y. If f(2) = 4, then what is the value of f(1/2)?
1. (A) $1/4$
2. (B) $1/2$
3. (C) $1$
4. (D) $4$
Show answerAnswer
$Answer: (A) 1/4$
Question 4 · NDA 2024
If f(x) = 4x + 1 and g(x) = kx + 2 such that f o g(x) = g o f(x), then what is the value of k?
1. (A) $7$
2. (B) $5$
3. (C) $4$
4. (D) $3$
Show answerAnswer
$Answer: (A) 7$
Question 5 · NDA 2024
If f(2x) = 4x2 + 1, then for how many real values of x will f(2x) be the GM of f(x) and f(4x)?
1. (A) $Four$
2. (B) $Two$
3. (C) $One$
4. (D) $None$
Show answerAnswer
$Answer: (C) One$

Functions questions by year

Year	Questions	Share of chapter questions
2025	12
2024	14
2023	13
2022	10
2021	5

Practise these 54 questions with solutions

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FAQs

How many NDA questions have been asked from Functions?

EByAi's bank holds 54 real NDA questions from Functions, asked between 2021 and 2025 — about 11 per year on average. Every count is measured from actual papers, not estimated.

Is Functions important for NDA?

54 questions over 5 papers make Functions a steady-weightage chapter in NDA Mathematics. The year-wise table above shows exactly how often it appears.

Can I solve Functions 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.

More NDA Mathematics chapters

All NDA Mathematics chapters →NDA overview →