NDA I 2024 Maths Question Paper (21-Apr-2024)

Question 1

Let $A$ and $B$ be matrices of order $3 	imes 3$., If $|A| = \frac{1}{2\sqrt{2}}$ and $|B| = \frac{1}{729}$, then what is the value of $|2B(	ext{adj}(3A))|$?

Accepted Answer

1

Answer

27

Answer

$\frac{27}{2\sqrt{2}}$

Answer

$\frac{27}{2}$

Question 2

If $z$ is any complex number and $iz^3 + z^2 - z + i = 0$, where $i = \sqrt{-1}$, then what is the value of $(|z|+1)^2$?

Accepted Answer

4

Answer

1

Answer

81

Answer

121

Question 3

What is the sum of all four digit numbers formed by using all digits $0, 1, 4, 5$ without repetition of digits?

Accepted Answer

64440

Answer

44440

Answer

46460

Answer

46440

Question 4

If $x, y$ and $z$ are the cube roots of unity, then what is the value of $xy + yz + zx$?

Accepted Answer

0

Answer

1

Answer

2

Answer

3

Question 5

A man has $7$ relatives ($4$ women and $3$ men). His wife also has $7$ relatives ($3$ women and $4$ men). In how many ways can they invite $3$ women and $3$ men so that $3$ of them are man's relatives and $3$ of them are his wife's relatives?

Accepted Answer

485

Answer

340

Answer

484

Answer

469

NDA I 2024 Maths Question Paper (21-Apr-2024)

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