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

Total Questions: 50

1. Find?

Correct Answer: (d) circles
Solution:

2. If 1! + 3! + 5! + 7!+_____+199! is divided by 24, what is the remainder?

Correct Answer: (c) 7
Solution:

3. Find value?

Correct Answer: (c) 5√2
Solution:

4. Find matrix?

Correct Answer: (a) 15
Solution:

5. If A, B and C are square matrices of order 3 and det(BC) = 2det(A), then what is the value of det(2A⁻¹BC)?

Correct Answer: (a) 16
Solution:

6. If the nᵗʰ term of a sequence is (2n + 5)/7, then what is the sum of its first 140 terms?

Correct Answer: (c) 2920
Solution:

7. Let A be a skew-symmetric matrix of order 3. What is the value of

det(4A⁴) - det(3A³) + det(2A²) - det(A) + det(-I) Where I is the identity matrix of order 3?

Correct Answer: (a) -1
Solution:

8. Find?

Correct Answer: (a) A² is symmetric matrix with det(A²) = 0
Solution:

9. Find?

1. Aⁿ will always be singular for any positive integer n.

2. Aⁿ will always be a diagonal matrix for any positive integer n.

3. Aⁿ will always be a symmetric matrix for any positive integer n.

Select the correct answer using the code given below:

Correct Answer: (b) 2 and 3 only
Solution:

10. If (a + b), 2b, (b + c) are in HP, then which one of the following is correct?

Correct Answer: (c) a, b and c are in GP
Solution: