Mathematics (NDA/NA SOLVED PAPER 2019 (I) (01 to 50)

Total Questions: 50

1. What is the nth term of the sequence 25, -125, 625, -3125.......?

Correct Answer: (d)
Solution:

2. Suppose X = {1, 2, 3, 4} and R is a relation on X. If R = {(1,1), (2,2), (3,3), (1,2), (2,1), (2,3), (3,2)}, then which one of the following is correct?

Correct Answer: (d) R is neither reflexive nor transitive, but symmetric
Solution:

3. A relation R is defined on the set N of natural numbers as xRy ⇒ x² -4xy +3y² = 0. Then, which one of the following is correct?

Correct Answer: (d) R is reflexive, but neither symmetric nor transitive
Solution:

4. If A ={x ∈ Z : x³− 1 = 0} and B = {x ∈ Z : x²+ x + 1 = 0}, where, Z is set of complex numbers, then what is A ∩ B equal to?

Correct Answer: (b)
Solution:

5. Consider the following statements for the two non-empty sets A and B.

Correct Answer: (a) Only 1
Solution:

6. Let X be a non-empty set and let A, B, C be subsets of X. Consider the following statements:

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

7. Simplify the question?

Correct Answer: (a)
Solution:

8. What are the roots of the equation |x² - x - 6| = x + 2?

Correct Answer: (d) −2, 2, 4
Solution:

9. Find the answer of given question below?

Correct Answer: (b) involutory matrix
Solution:

10. Simplify the question:

Correct Answer: (a) −3, 4
Solution: