Algebra (SSC) (Part-8)

Total Questions: 50

41. What is the value of a² + b² + c² - 2ab - 2bc + 2ca ? [SSC CGL 12/12/2022 (2nd Shift)]

Correct Answer: (b) (a - b + c)²
Solution:

42. Solve the following equation: [SSC CGL 12/12/2022 (2nd Shift)]

Correct Answer: (b) - 512
Solution:

43. If p = 8.15, q = 9.06 and r = −17.21, then the value of p³ + q³ + r³ - 3pqr is: [SSC CGL 12/12/2022 (3rd Shift)]

Correct Answer: (d) 0
Solution:

44. Solve the following equation: [SSC CGL 12/12/2022 (3rd Shift)]

Correct Answer: (b) √129
Solution:

45. If x + y + z = 0 and 𝓍² + y² + z² = 40, then what is the value of xy + yz +zx ? [SSC CGL 12/12/2022 (4th Shift)]

Correct Answer: (a) -20
Solution:

46. Which of the following statement is correct ? [SSC CGL 13/12/2022 (1st Shift)]

I. If x = 12, y = - 2 and z = - 10, then x³ + y³ + z³ = 360.
II. If x + y = 48 and 4xy = 128, then 4x² + 4y² = 4480.

Correct Answer: (a) Neither I nor II
Solution:

47. Solve the following equation: [SSC CGL 13/12/2022 (1st Shift)]

Correct Answer: (b) 3/7
Solution:

48. If 2p + q = 19 and 8p³ + q³ = 361, then find the value of pq . [SSC CGL 13/12/2022 (2nd Shift)]

Correct Answer: (d) 57
Solution:

49. Solve the following equation. [SSC CGL 13/12/2022 (3rd Shift)]

Correct Answer: (a) 0
Solution:

50. Solve the following equation: [SSC CGL 13/12/2022 (4th Shift)]

Correct Answer: (d) 22
Solution: