MATHEMATICS (NDA/NA SOLVED PAPER 2022-I) (01 to 50)

Total Questions: 50

1. Find the value?

Correct Answer: (c) always negative
Solution:

2. Find the value?

Correct Answer: (b) 12
Solution:

3. Find the value?

1. a + b + c = 0
2. a³+b³ +c³ = 3abc
3. a² + b² + c² - ab - bc - ca = 0
Select the correct answer using the code given below :

Correct Answer: (d) 1, 2 and 3
Solution:

4. Consider the following in respect of the matrices:

1. CA = CB
2. AC = BC
3. C(A + B) = CA + CB
Which of the above statements is/are correct?

Correct Answer: (c) 2 and 3
Solution:

5. equal to?

Correct Answer: (d) 2I
Solution:

6. For what value of k is the matrix.

Correct Answer: (d) Any real value
Solution:

7. Let A be a non-singular matrix and B = adjA. Which of the following statements is/are correct?

1. AB = BA
2. AB is a scalar matrix
3. AB can be a null matrix
Select the correct answer using the code given below:

Correct Answer: (b) 1 and 2 only
Solution:

8. Consider the following statements in respect of square matrices A and B of same order:

1. If AB is a null matrix, then at last one of A and B is a null matrix.
2. If AB is an identity matrix, then BA = AB
Which of the above statements is/are correct?

Correct Answer: (b) 2 only
Solution:

9. If A is the identity matrix of order 3 and B is its transpose, then what is the value of the determinant of the matrix C = A + B?

Correct Answer: (d) 8
Solution:

10. Let A and B be non-singular matrices of the same order such that AB = A and BA = B Which of the following statements is/are correct?

1. A² = A
2. AB² = A²B
Select the correct answer using the code given below:

Correct Answer: (c) Both 1 and 2
Solution: