Algebra (Railway Maths) (Part – I)

Total Questions: 50

41. The equation x² + 7x + 6 = 0 can be written as: [Group D 22/08/2022 (Afternoon)]

Correct Answer: (b) (x + 1)(x + 6) = 0
Solution:

42. The value of [Group D 22/08/2022 (Evening) ]

Correct Answer: (b) (2x + 3y) (3y + 7z) (7z + 2x)
Solution:

43. The equation x² - 6x + 9 = 0 can be written as: [Group D 22/08/2022 (Evening) ]

Correct Answer: (d) (x - 3)² = 0
Solution:

44. Which of the following is a quadratic equation whose roots are 7/3 and 12/5? [Group D 22/08/2022 (Evening) ]

Correct Answer: (d) 15x² - 71x + 84 = 0
Solution:

45. If x² + xy + x = 18 and y² + xy + y = 24, then the value of x + y is: [Group D 23/08/2022 (Morning)]

Correct Answer: (c) 6 or −7
Solution:

46. Find the roots of √(2x + 9) + x = 13 [Group D 23/08/2022 (Afternoon)]

Correct Answer: (c) 20 and 8
Solution:

47. If a⁴ + 1/a⁴ = 34, then the value of a⁶ + 1/a⁶ is: [Group D 23/08/2022 (Afternoon)]

Correct Answer: (b) 198
Solution:

48. If a + b + c = 6 and ab + bc + ca = −2, then find the value of a³ + b³ + c³ − 3abc. [Group D 23/08/2022 (Evening)]

Correct Answer: (a) 252
Solution:

49. Find the roots of the equation: x² + 11x − 26 = 0 [Group D 23/08/2022 (Evening)]

Correct Answer: (c) −13 and 2
Solution:

50. Which of the following is a quadratic equation? [Group D 23/08/2022 (Evening)]

A. x(x − 4) = 2x + x² − 7
B. 5(2y + 3) − 6y = 5y(y² − 8y)
C. k(k + 1) − k(k − 2)2k = 0
D. p(p² + 7) = p² + p³ − 18

Correct Answer: (d) Only D
Solution: