Complex Numbers — NDA Previous Year Questions

41 solved PYQs · 2021–2025 · Mathematics

Solved PYQs: 41
Years covered: 2021–2025
Avg / year: ~8
Subject: Mathematics

How many NDA questions come from Complex Numbers?

Complex Numbers has contributed 41 questions to National Defence Academy Examination papers between 2021 and 2025 — an average of about 8 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 41 questions carries a written, step-by-step solution, and each is tagged to Complex Numbers 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 Complex Numbers questions from real NDA papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 41 Complex Numbers questions (with full written solutions) are available in practice.

Question 1 · NDA 2024
If ω ≠ 1 is a cube root of unity, then what is (1 + ω - ω2)100 + (1 - ω + ω2)100 equal to?
1. (A) $2100 ω2$
2. (B) $2100 ω$
3. (C) $2100$
4. (D) $-2100$
Show answerAnswer
$Answer: (D) -2100$
Question 2 · NDA 2023
Which one of the following is a root of equation-II?
1. (A) $-1$
2. (B) $-ω$
3. (C) $-ω^2$
4. (D) $ω$
Show answerAnswer
$Answer: (D) ω$
Question 3 · NDA 2023
What is the number of common roots of equation-I and equation-II?
1. (A) $0$
2. (B) $1$
3. (C) $2$
4. (D) $3$
Show answerAnswer
$Answer: (C) 2$
Question 4 · NDA 2023
If 2 - i√3 where i = √-1 is a root of the equation x^2 + ax + b = 0, then what is the value of (a + b)?
1. (A) $-11$
2. (B) $-3$
3. (C) $0$
4. (D) $3$
Show answerAnswer
$Answer: (D) 3$
Question 5 · NDA 2022
What is angle θ such that z is purely real?

where n is an integer
1. (A) $\frac{nπ}{2}$
2. (B) $\frac{( 2 n + 1 ) π}{2}$
3. (C) $nπ$
4. (D) $2nπ only$
Show answerAnswer
$Answer: (C) nπ$

Complex Numbers questions by year

Year	Questions	Share of chapter questions
2025	5
2024	9
2023	11
2022	5
2021	11

Practise these 41 questions with solutions

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FAQs

How many NDA questions have been asked from Complex Numbers?

EByAi's bank holds 41 real NDA questions from Complex Numbers, asked between 2021 and 2025 — about 8 per year on average. Every count is measured from actual papers, not estimated.

Is Complex Numbers important for NDA?

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

Can I solve Complex Numbers 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 →