Sets Relations And Functions — NDA Previous Year Questions

43 solved PYQs · 2021–2025 · Mathematics

Solved PYQs: 43
Years covered: 2021–2025
Avg / year: ~9
Subject: Mathematics

How many NDA questions come from Sets Relations And Functions?

Sets Relations And Functions has contributed 43 questions to National Defence Academy Examination papers between 2021 and 2025 — an average of about 9 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 43 questions carries a written, step-by-step solution, and each is tagged to Sets Relations And 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 Sets Relations And Functions questions from real NDA papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 43 Sets Relations And Functions questions (with full written solutions) are available in practice.

Question 1 · NDA 2025
Set X contains 3n elements and set Y contains 2n elements, and they have n elements in common. How many elements does (X - Y) × (Y-X) have?
1. (A) $5 n^{2}$
2. (B) $4 n^{2}$
3. (C) $3 n^{2}$
4. (D) $2 n^{2}$
Show answerAnswer
$Answer: (D) 2 n^{2}$
Question 2 · NDA 2025
Consider the following statements:

I. f is one-one function.

II. f is onto function if the codomain is the set of natural numbers.

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
$Answer: (A) I only$
Question 3 · NDA 2025
In a class of 45 students, 34 like to play cricket and 26 like to play football. Further, each student likes to play at least one of the two games. How many students like to play exactly one game?
1. (A) $45$
2. (B) $30$
3. (C) $25$
4. (D) $15$
Show answerAnswer
$Answer: (B) 30$
Question 4 · NDA 2024
If A and B are two non-empty sets having 10 elements in common, then how many elements do A x B and B x A have in common?
1. (A) $10$
2. (B) $20$
3. (C) $40$
4. (D) $100$
Show answerAnswer
$Answer: (D) 100$
Question 5 · NDA 2024
In a class of 240 students, 180 passed in English, 130 passed in Hindi and 150 passed in Sanskrit. Further, 60 passed in only one subject, 110 passed in only two subjects and 10 passed in none of the subjects. How many passed in all three subjects?
1. (A) $60$
2. (B) $55$
3. (C) $40$
4. (D) $35$
Show answerAnswer
$Answer: (A) 60$

Sets Relations And Functions questions by year

Year	Questions	Share of chapter questions
2025	5
2024	8
2023	7
2022	15
2021	8

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FAQs

How many NDA questions have been asked from Sets Relations And Functions?

EByAi's bank holds 43 real NDA questions from Sets Relations And Functions, asked between 2021 and 2025 — about 9 per year on average. Every count is measured from actual papers, not estimated.

Is Sets Relations And Functions important for NDA?

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

Can I solve Sets Relations And 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

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