Mathematics NDA/NA SOLVED PAPER 2018 (II) (01 to 50)

Total Questions: 50

1. Find the answer of given question?

Correct Answer: (c) 1 - 3log₇ 2
Solution:

2. If an infinite GP has the first term x and the sum 5, then which one of the following is correct?

Correct Answer: (c) 0 < x < 10
Solution:

3. Consider the following expressions:

Correct Answer: (a) 1, 4 and 5
Solution:

4. A square matrix A is called orthogonal if:

Correct Answer: (b) A′ = A⁻¹
Solution:

where A′ is the transpose of A

5. If A, B and C are subsets of a universal set, then which one of the following is not correct?

Correct Answer: (c)
Solution:

6. Let x be the number of integers lying between 2999 and 8001 which have at least two digits equal. Then x is equal to?

Correct Answer: (b) 2481
Solution:

7. The sum of the series 3 - 1 + 1/3 - 1/9+.........is equal to?

Correct Answer: (c) 9/4
Solution:

8. Questions:- (8 to 9) Consider the information given below and answer the two items that follow:

A survey was conducted among 300 students. It was found that 125 students like to play cricket, 145 students like to play football and 90 students like to play tennis. 32 students like to play exactly two games out of the three games.
How many stdudents like to play all the three games?

Correct Answer: (a) 14
Solution:

9. How many students like to play exactly only one game?

A survey was conducted among 300 students. It was found that 125 students like to play cricket, 145 students like to play football and 90 students like to play tennis. 32 students like to play exactly two games out of the three games.

Correct Answer: (c) 254
Solution:

10. If α and β (≠ 0) are the roots of the quadratic equation x² + αx - β = 0, then the quadratic expression -x² + αx + β, where x ∈ R has:

Correct Answer: (d) Greatest value 9/4
Solution: