Algebra (SSC) (Part-3)

Total Questions: 50

41. What must be added to (𝓍³ - 3𝓍² + 4𝓍 - 75) to obtain a polnomial that is exactly divisible by (x - 5) ? [SSC CPO 29/06/2024 (1st Shift)]

Correct Answer: (a) 5
Solution:

42. If a + b + c = 13 and ab + bc + ca = 22, then the value of a³ + b³ + c³ - 3abc is ______. [SSC CPO 29/06/2024 (2nd Shift)]

Correct Answer: (d) 1339
Solution:

43. If 𝓍² + 4y² + 2𝓍 + 1 = 0, then find the value of 𝓍³⁹ + y³⁶ [SSC CPO 29/06/2024 (2nd Shift)]

Correct Answer: (a) -1
Solution:

44. Solve the following equation: [SSC CPO 29/06/2024 (3rd Shift)]

Correct Answer: (a) 30
Solution:

45. Solve the following equation: [SSC CPO 29/06/2024 (3rd Shift)]

Correct Answer: (c) 1
Solution:


46. Solve the following equation: [SSC CPO 29/06/2024 (3rd Shift)]

Correct Answer: (b) -2
Solution:

47. If x³ = 184 + y³ and x = 4 + y, then the value of (x + y) is (given that x > 0 and y > 0): [Higher Secondary 21/06/2024 (Shift - 2)]

Correct Answer: (b) 2√14
Solution:

48. Simplify the following. [Higher Secondary 21/06/2024 (Shift - 2)]

(𝓍 - 3y)³ + 27 (y³ - 𝓍y²)

Correct Answer: (d) 𝓍³ - 9𝓍²y
Solution:

49. Solve the following equation: [Higher Secondary 24/06/2024 (Shift - 2)]

Correct Answer: (d) 1.75
Solution:

50. Solve the following equation: [Higher Secondary 24/06/2024 (Shift - 2)]

Correct Answer: (d) 610/343
Solution: