Mathematics (NDA/NA SOLVED PAPER 2022-II) (01 to 50)

Total Questions: 50

41. What is AB/sin C equal to?

ABC is a triangular plot with AB = 16 m; BC = 10 m and CA = 10 m. A lamp post is situated at the middle point of the side AB. The lamp post subtends an angle 45° at the vertex B.

Correct Answer: (b) 50/3 m
Solution:

42. What is cos A + cos B + cos C equal to?

ABC is a triangular plot with AB = 16 m; BC = 10 m and CA = 10 m. A lamp post is situated at the middle point of the side AB. The lamp post subtends an angle 45° at the vertex B.

Correct Answer: (d) 33/25
Solution:

43. At what height is the top of the tower above the ground level?

There are two points P and Q due south of a leaning tower, which leans towards north. P is at a distance x and Q is at a distance y from the foot of the tower (x > y). The angles of elevation of the top of the tower from P and Q are 15° and 75° respectively.

Correct Answer: (a)
Solution:

44. If θ is the inclination of the tower to the horizontal, then what is cotθ equal to?

There are two points P and Q due south of a leaning tower, which leans towards north. P is at a distance x and Q is at a distance y from the foot of the tower (x > y). The angles of elevation of the top of the tower from P and Q are 15° and 75° respectively.

Correct Answer: (d)
Solution:

45. What is the length of the tower?

There are two points P and Q due south of a leaning tower, which leans towards north. P is at a distance x and Q is at a distance y from the foot of the tower (x > y). The angles of elevation of the top of the tower from P and Q are 15° and 75° respectively.

Correct Answer: (b)
Solution:

46. What is the value of cosec (-73π / 3)?

Correct Answer: (b) -2/√3
Solution:

47. What is the value of

Correct Answer: (a)
Solution:(a)

48. What is the value of tan (3π/8)?

Correct Answer: (b) √2 + 1
Solution:

49. What is tan⁻¹ cot(cosec⁻¹ 2) equal to?

Correct Answer: (d) π/3
Solution:

50. In a triangle ABC, a = 4, b = 3, c = 2. What is cos3C equal to?

Correct Answer: (a) 7/128
Solution: