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NDA 2 2025 Maths Question Paper (14-Sep-2025); Download PDF

NDA 2 2025 Mathematics question paper from Sep 14, 2025, available for download. This is a great resource for NDA aspirants to get familiar with the types of questions, difficulty level, and key topics tested in the exam. By reviewing the question paper, you can better gauge your preparation and identify areas that need more focus. Perfect for those targeting a spot in the National Defence Academy, this paper provides a clear idea of what to expect on exam day.

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NDA 2 2025 Maths Question Paper (14-Sep-2025)
150 Minutes
120 Questions
300 Marks
English
Showing 1 - 5 of 120 questions
Page 1 of 24

Q1.

If \(p^x = q^y = r^z\), where \(x\), \(y\) and \(z\) are in GP, then consider the following statements : 

I. \(p\), \(q\) and \(r\) are in AP. 

II. \(\ln p\), \(\ln q\) and \(\ln r\) are in GP. 

Which of the statements given above is/are correct?

Q2.

If \(A\) and \(B\) are non-empty subsets of a set, and \(A^c\) and \(B^c\) represent their complements, then which of the following is/are correct? 

I. \(A-B = B^c - A^c\) 

II. \(A - B^c = A^c - B\) 

Select the answer using the code given below.

Q3.

Let \(y = x!\) and \(z = (2x)!\). If \((z / y) = 120\), then what is the value of \((3x)!\)?

Q4.

Let \(n\) be a natural number. The number of consecutive zeros at the end of the expansion of \(n!\) is exactly 2. How many values of \(n\) are possible?

Q5.

If \((10+\log_{10} x)\), \((10+\log_{10} y)\) and \((10+\log_{10} z)\) are in AP, then consider the following statements : 

I. The GM of \(x\) and \(z\) is \(y^2\)

II. The AM of \(\log_{10} x\) and \(\log_{10} z\) is \(\log_{10} y\)

Which of the statements given above is/are correct?

Page 1 of 24
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