Mathematics (NDA/NA SOLVED PAPER 2022-II) (51 to 100)

Total Questions: 50

21. Let z = [y] and y = [x] - x,1 where [.] is the greatest integer function. If x is not an integer but positive, then what is the value of z?

Correct Answer: (a) - 1
Solution:

22. If f(x) = 4x + 1 and g(x) = kx + 2 such that fog(x) = gof (x), then what is the value of k?

Correct Answer: (a) 7
Solution:

23. What is the minimum value of the function f(x) = log₁₀(x² + 2x + 11) ?

Correct Answer: (b) 1
Solution:

24. Find the value?

Correct Answer: (b)
Solution:

25. What is ∫ eˣ (1 + lnx + xlnx)dx equal to?

Correct Answer: (a)
Solution:

26. Find the value?

Correct Answer: (c)
Solution:

27. Find the value?

Correct Answer: (c)
Solution:

28. If y = (xˣ)ˣ then which one of the following is correct?

Correct Answer: (b)
Solution:

29. What is the maximum value of 3(sin x - cos x) + 4(cos³ x - sin³ x )?

Correct Answer: (b) √2
Solution:

30. What is the area of the region (in the first quadrant) bounded by y = √1 - x², y = x and y = 0 ?

Correct Answer: (c) π/8
Solution: