Mathematics NDA/NA SOLVED PAPER 2017 (II) (51 to 100)

Total Questions: 50

11. The inverse of the function y = 5ˡⁿ ˣ is:

Correct Answer: (a)
Solution:

12. A function is defined as follows :

Correct Answer: (c) f(x) is discontinuous at x = 0
Solution:

13. Simplify the equation?

Correct Answer: (c)
Solution:

14. Consider the following:

1. x + x² is continuous at x = 0
2. x + cos 1/x is discontinuous at x = 0
3. x² + cos 1/x is continuous at x = 0
Which of the above are correct?

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

15. Consider the following statements :

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

Statement (1), (2) are correct.

16. Simplify the equation?

Correct Answer: (a)
Solution:

17. Simplify the equation?

Correct Answer: (a)
Solution:

18. Find the answer of given question?

Correct Answer: (b) f′(x) = −2x for 0 < x ≤ 1
Solution:

19. Which one of the following is correct in respect of the function f(x) = x(x - 1) (x + 1)?

Correct Answer: (a) The local maximum value is larger than local minimum value
Solution:

20. Consider the following statements :

1. Derivative of f(x) may not exist at some point.
2. Derivative of f (x) may exist finitely at some point.
3. Derivative of f (x) may be infinite (geometrically) at some point.
Which of the above statements are correct?

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

All statements are correct