Algebra (SSC) (Part-11)

Total Questions: 50

41. If x² + 4y² = 53 and x - 2y = 5, then what is the value of x³ - 8y³ ? [SSC CGL 16/08/2021 (Evening)]

Correct Answer: (b) 335
Solution:

42. If a² + c² + 17 = 2(a - 8b - 2b²), then what is the value of (a³ + b³ + c³)? [SSC CGL 17/08/2021 (Morning)]

Correct Answer: (b) - 7
Solution:

43. Solve the following equation: [SSC CGL 17/08/2021 (Evening)]

Correct Answer: (a) 0
Solution:

44. If x² + 9y² + 4z² = 12(x - 2y + 2z) - 88, then the value of (x - 3y + z) is: [SSC CGL 17/08/2021 (Evening)]

Correct Answer: (b) 13
Solution:

45. Simplify the following expression. [SSC CGL 18/08/2021 (Morning)]

Correct Answer: (c) 3/2
Solution:

46. Simplify the following expression. [SSC CGL 18/08/2021 (Afternoon)]


Correct Answer: (b)
Solution:

47. Simplify the following expression. [SSC CGL 18/08/2021 (Afternoon)]

Correct Answer: (c) 15
Solution:

48. If a³ - b³ = 2349 and (a - b) = 9, then (a + b)² - ab is equal to: [SSC CGL 18/08/2021 (Evening)]

Correct Answer: (a) 261
Solution:

49. If a + b + c = 0, then what is the value of: [SSC CGL 18/08/2021 (Evening)]

Correct Answer: (d) 3
Solution:

50. If a² + b² + c² + 216 = 12(a + b - 2c), then √(ab - bc - ca) is: [SSC CGL 20/08/2021 (Morning)]

Correct Answer: (a) 6√5
Solution: