Algebra (Railway Maths) (Part – II)

Total Questions: 50

41. If x² − 4x + 4 = 0, then the value of x³ + x² + 1/x + 1/x² is: [Group D 01/09/2022 (Evening)]

Correct Answer: (c) 12.75
Solution:

42. If x² − 2x + 1 = 0, then it has: [Group D 01/09/2022 (Evening)]

Correct Answer: (b) two roots
Solution:

x² - 2x + 1 = 0
A quadratic equation always has 2 roots.

43. Which of the following quadratic equations has one of its roots as 4 − 2√5? [Group D 02/09/2022 (Morning)]

Correct Answer: (d) x² − 8x − 4 = 0
Solution:

44. Find the values of b for which the quadratic equation 4x² + bx + 1 = 0 has equal roots. [Group D 02/09/2022 (Afternoon)]

Correct Answer: (b) −4 and 4
Solution:

45. If α and β, where α > β, are the roots of the equation 5x² − 3x − 2 = 0, then what is the value of (α − 2β)? [Group D 02/09/2022 (Afternoon)]

Correct Answer: (a) 9/5
Solution:

46. If x² + y² − 4x + 8y + 20 = 0, then the value of x² + y² is: [Group D 02/09/2022 (Afternoon)]

Correct Answer: (b) 20
Solution:

47. Find the answer of given question? [Group D 02/09/2022 (Evening) ]

Correct Answer: (b) 5
Solution:

48. A quadratic equation whose roots are −2/3 and −3/2 is: [Group D 02/09/2022 (Evening)]

Correct Answer: (c) 6x² + 13x + 6 = 0
Solution:

49. For the equation 2x² + bx + 3 = 0, the smaller root is 0.5. Find the value of b. [Group D 02/09/2022 (Evening)]

Correct Answer: (a) −7
Solution:

50. Find the answer of given question? [Group D 05/09/2022 (Morning) ]

Correct Answer: (c) 1
Solution: