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

Total Questions: 50

31. Find the value?

Correct Answer: (b) 3
Solution:

32. If a, b and c( a > 0, c > 0 )are in GP, then consider the following in respect of the equation ax² + bx + c = 0 :

(A) The equation has imaginary roots.

(B) The ratio of the roots of the equation is 1: ω where ω is a cube root of unity.

(C) The product of roots of the equation is (b²/(a²)

Correct Answer: (d) (A), (B) and (C)
Solution:

33. x² + mx + n is an integer for all integral values of x, then which of the following is/ are correct?

(A) m must be an integer

(B) n must be an integer

Select the correct answer using the code given below:

Correct Answer: (c) Both (A) and (B)

34. Find the value?

Correct Answer: (a) 1
Solution:

35. Let A = {1, 2, 3, 4, 5} and B = {6, 7\ What is the number of onto functions from A to B?

Correct Answer: (c) 30
Solution:

36. equal to?

Correct Answer: (d) 4
Solution:

37. what is (sin 9° - cos 9°) is equal to?

Correct Answer: (c)
Solution:

38. Where a,b,c are sides of the triangle?

Correct Answer: (d) 0
Solution:

39. If cos⁻¹ x = sin⁻¹ x, then which one of the following is correct?

Correct Answer: (c) x = 1/√2
Solution:

40. What is the number of solutions of (sinθ- cosθ)² = 2 where - π < θ < π ?

Correct Answer: (b) Only two
Solution: