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

Total Questions: 50

41. Simplify the question?

Correct Answer: (c) π/4
Solution:

42. If cos A = 3/4, then what is the value of sin(A/2) sin(3A/2)?

Correct Answer: (b) 5/16
Solution:

43. What is the value of tan75° + cot 75°?

Correct Answer: (b) 4
Solution:

44. What is the value of cos 46° cos 47° cos 48° cos 49° cos 50°..........cos 135°?

Correct Answer: (b) 0
Solution:

45. If sin2θ = cos3θ, where 0<θ<π/2, then what is sinθ equal to?

Correct Answer: (b)
Solution:

46. If the roots of the equation x² + px + q = 0 are tan19° and tan26°, then which one of the following is correct?

Correct Answer: (a) q - p = 1
Solution:

47. What is the fourth term of an AP ofn terms whose sum is n(n + 1)?

Correct Answer: (b) 8
Solution:

48. What is − sec²α sec²β equal to?

Correct Answer: (a) 0
Solution:

49. If p = cosecθ - cotθ and q = (cosecθ + cotθ)⁻¹, then which one of the following is correct?

Correct Answer: (b) p = q
Solution:

50. If the angles of a triangle ABC are in the ratio 1 : 2 : 3, then the corresponding sides are in the ratio:

Correct Answer: (c) 1 : √3 : 2
Solution: