NDA 2 2025 Maths Question Paper (14-Sep-2025)

Question 1

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?

Accepted Answer

II only

Answer

I only

Answer

Both I and II

Answer

Neither I nor II

Question 2

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.

Accepted Answer

I only

Answer

II only

Answer

Both I and II

Answer

Neither I nor II

Question 3

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

Accepted Answer

362880

Answer

181440

Answer

90720

Answer

45360

Question 4

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?

Accepted Answer

5

Answer

3

Answer

4

Answer

More than 5

Question 5

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?

Accepted Answer

II only

Answer

I only

Answer

Both I and II

Answer

Neither I nor II

NDA 2 2025 Maths Question Paper (14-Sep-2025)

NDA 2026 Mock Test Series for Maths & GAT