Mathematics NDA/NA SOLVED PAPER 2018 (II) (01 to 50)

Total Questions: 50

31. If (0.2)ˣ = 2 and log₁₀ 2 = 0.3010, then what is the value of x to the nearest tenth?

Correct Answer: (c) −0 4
Solution:

32. The total number of 5-digit numbers that can be composed of distinct digits from 0 to 9 is:

Correct Answer: (c) 27216
Solution:

33. Find the answer of given question?

Correct Answer: (d) (z - x)² (x + y + z)
Solution:

34. Simplify the equation?

Correct Answer: (a) The triangle ABC is isosceles
Solution:

35. Consider the following in respect of matrices A and B of same order:

1. A² - B²= (A + B) (A - B)
2. (A - I) (I + A) = O ⇔ A² = I
where I is the identity matrix and O is the null matrix.
Which of the above is/are correct?

Correct Answer: (b) 2 only
Solution:

36. Simplify the question?

Correct Answer: (c) sin2θ
Solution:

37. If sec (θ -α), secθ and sec (θ + α) are in AP, where cosα ≠ 1, then what is the value of sin²θ + cosα?

Correct Answer: (a) 0
Solution:

38. If A + B + C = 180º, then what is sin2A - sin2B - sin2C equal to?

Correct Answer: (d) −4sin A cos B cos C
Solution:

39. A balloon is directly above one end of a bridge. The angle of depression of the other end of the bridge from the ballon is 48º. If the height of the balloon above the bridge is 122 m, then what is the length of the bridge?

Correct Answer: (b) 122 tan 42ºm
Solution:

40. A is an angle in the fourth quadrant it satisfies the trigonometric equation 3(3 - tan² A - cot A)² = 1. Which one of the following is a value of A?

Correct Answer: (a) 300º
Solution: