(Mathematics) NDA/NA SOLVED PAPER 2023 – II (01 to 50)

Total Questions: 50

11. equal to?

Correct Answer: (c) t₁₁
Solution:

12. Which one of the following is a square root of -√-1?

Correct Answer: (b)
Solution:

13. What is the maximum number of points of intersection of 10 circles?

Correct Answer: (c) 90
Solution:

14. A set S contains (2n +1) elements. There are 4096 subset of S which contain at most n elements. what is n equal to?

Correct Answer: (b) 6
Solution:

15. Find?

Correct Answer: (b) 0
Solution:it is skew - symmetric of order 3 × 3
⇒ So, e = 0

16. If all elements of a third order determinant are equal to 1 or -1, then the value of the determinant is:

Correct Answer: (b) an even number but not necessarily 0
Solution:Since, all the elements of 3 × 3 matrix is -1 or 1 then determinent of the matrix is always an even numbetr.

17. Find?

Correct Answer: (d) 625
Solution:Since, |A| = 1(6 - 1) = 5
Now, |adj (adj A)| = |A|⁽ⁿ⁻¹⁾² = 5⁽³⁻¹⁾² = 5⁴ = 625

18. equal to?

Correct Answer: (a)
Solution:

19. The value of the determinant of a matrix A of order 3 is 3. If C is the matrix of cofactors of the matrix A, then what is the value of determinant of C²?

Correct Answer: (c) 81
Solution:

20. equal to?

Correct Answer: (d) 10000
Solution: