NDA 1 2026 Maths Question Paper (12-Apr-2026)

Question 1

Let p, q and r be three unequal numbers such that p, q and r are in AP. If (q-p), (r-q) and p are in GP, then (p+q) : (q+r) : (r+p) equals

Accepted Answer

3 : 5 : 4

Answer

1 : 2 : 3

Answer

3 : 4 : 5

Answer

1 : 3 : 2

Question 2

If p, $g_1$, $g_2$ and q are in GP and m is the arithmetic mean of p and q, then $\frac{g_1^2}{g_2} + \frac{g_2^2}{g_1}$ is equal to

Accepted Answer

2m

Answer

m

Answer

1

Answer

1/2

Question 3

Consider the following inequalities :I. $1 + 4i > 3 + 2i$II. $2 + 3i < 3 + 4i$III. $4 + 3i > 3 + 4i$where $i = \sqrt{-1}$How many of the above are valid ?

Accepted Answer

None

Answer

One

Answer

Two

Answer

All the three

Question 4

Let $Z_1$ and $Z_2$ be complex numbers such that $\frac{3Z_1}{4Z_2}$ is purely imaginary.What is $\left| \frac{Z_1 + Z_2}{Z_1 - Z_2} \right|$ equal to ?

Accepted Answer

1

Answer

2

Answer

3/2

Answer

5/4

Question 5

If $\alpha$, $\beta$, $\gamma$ are cube roots of -8, then what is $\frac{\alpha^2 p^2 + \beta^2 q^2 + \gamma^2 r^2}{\beta^2 p^2 + \gamma^2 q^2 + \alpha^2 r^2}$ equal to ?

Accepted Answer

$\frac{\gamma}{\beta}$

Answer

$\frac{\gamma}{\alpha}$

Answer

$\frac{2\gamma}{\alpha}$

Answer

$\frac{2\gamma}{\beta}$

NDA 1 2026 Maths Question Paper (12-Apr-2026)

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