Mathematics (Solved Paper 2024 – II) (01 to 50)

Total Questions: 50

41. What is the value of |Z₁/Z₂| ?

Let Z₁ and Z₂ be any two complex numbers such that Z₁² + Z₂² + Z₁Z₂ = 0

Correct Answer: (a) 1
Solution:

42. What is the value of of 1/2 + Re (Z₁/Z₂) ?

Let Z₁ and Z₂ be any two complex numbers such that Z₁² + Z₂² + Z₁Z₂ = 0

Correct Answer: (b) 0
Solution:

43. What is the common difference?

The product of 5 consecutive terms of an AP is 229635. The first, second and fifth terms are in GP.

Correct Answer: (d) 6
Solution:

44. What is the sum of all five terms?

The product of 5 consecutive terms of an AP is 229635. The first, second and fifth terms are in GP.

Correct Answer: (c) 75
Solution:

45. What is V + W equal to?

Let (8 + 3√7)²⁰ = U + V and (8 - 3√7)²⁰ = W where U is an integer

0 < V < 1

Correct Answer: (d) 1
Solution:

46. What is the value of (U + V) W?

Let (8 + 3√7)²⁰ = U + V and (8 - 3√7)²⁰ = W where U is an integer

0 < V < 1

Correct Answer: (b) 1
Solution:

47. Which one of the following statements is correct?

The roots of the quadratic equation

a² (b² - c²) x² + b² (c² - a²)x + c²(a²- b²) = 0 are equal ( a² ≠ b² ≠c² ).

Correct Answer: (c) a²,b², c² in HP.
Solution:

48. Which one of the following is a root of the equation?

The roots of the quadratic equation

a² (b² - c²) x² + b² (c² - a²)x + c²(a²- b²) = 0 are equal ( a² ≠ b² ≠c² ).

Correct Answer: (c) (b²(c² - a²) / 2a² (c² - b²)
Solution:

49. what is A(adj A) equal to ?

Correct Answer: (d)
Solution:

50. what is A equal to ?

Correct Answer: (a)
Solution: