(Mathematics) NDA/NA SOLVED PAPER 2024 – I (01 to 50)

Total Questions: 50

41. ABC is a triangle such that angle C = 60°, then what is?

Correct Answer: (c) 1
Solution:

42. Find the value?

Correct Answer: (c) 8
Solution:

43. What is the value of sin 10°. sin 50° + sin 50°. sin 250° + sin 250°. sin 10° equal to?

Correct Answer: (b) -3/4
Solution:

44. Find the value?

Correct Answer: (b)
Solution:

45. Under which one of the following conditions does the equation (cos β - 1)x² + (cos β) x + sin β = 0 in x have a real root β ∈ [0, π]?

Correct Answer: (d)
Solution:

46. In a triangle ABC, AB = 16 cm, BC = 63 cm and AC = 65 cm. What is the value of cos 2A + cos 2B + cos 2C?

Correct Answer: (c) 1
Solution:

47. Find the value?

Correct Answer: (b) 1/2
Solution:

48. If tan alpha and tan β are the roots of the equation x² - 6x + 8 = 0, then what is the value of cos(2α + 2β) ?

Correct Answer: (b) 13/85
Solution:

49. What is the value of

tan 65° + 2tan 45° - 2 tan 40°- tan 25°?

Correct Answer: (c) 2
Solution:

50. Consider the following statements:

A. In a triangle ABC, if cot A . cot B . cot C > 0, then the triangle is an acute angled triangle.

B. In a triangle ABC, if tanA . tanB . tan C > 0, then the triangle is an obtuse angled triangle.

Which of the statements given above is/are correct?

Correct Answer: (a) A Only
Solution: