Algebra (SSC) (Part-9)

Total Questions: 50

41. Solve the following equation: [Higher Secondary 05/08/2022 (Shift - 2)]

Correct Answer: (c) 1/8
Solution:

42. If x - y = 5 and x³ - y³ = 520 , then the value of xy is : [Higher Secondary 05/08/2022 (Shift - 2)]

Correct Answer: (a) 79/3
Solution:

43. If x + y + z = 0, then what will be the value of: [SSC CHSL 24/05/2022 (Morning)]

Correct Answer: (d)
Solution:

44. If 2a + b = 10, 2ab = 9, and 2a > b, then find the value of 2a – b. [SSC CHSL 24/05/2022 (Afternoon)]

Correct Answer: (c) 8
Solution:

45. If a + b = 12 and ab = 35, find the value of a⁴ + b⁴ - 10³ ? [SSC CHSL 24/05/2022 (Afternoon)]

Correct Answer: (b) 2026
Solution:

46. If a + 2b = 27 and a³ + 8b³ = 5427 , then find the value of 2ab. [SSC CHSL 24/05/2022 (Evening)]

Correct Answer: (a) 176
Solution:

47. If 𝓍² = b - a𝓍 and 𝓍³ (𝓍³ + c) = d, then which of the following can be the values of c and d ? [SSC CHSL 25/05/2022 (Morning)]

Correct Answer: (c) 𝑐 = 𝑎³ + 3𝑎𝑏 𝑎𝑛𝑑 𝑑 = 𝑏³
Solution:

48. If 𝓍 + y + z = 0, then find the value of 𝓍³ + y³ + z³ - 3𝓍yz. [SSC CHSL 25/05/2022 (Afternoon)]

Correct Answer: (c) 0
Solution:

49. Solve the following equation: [SSC CHSL 25/05/2022 (Evening)]


Correct Answer: (a)
Solution:

50. If p = 11, then the value of p(p² + 3p + 3) is: [SSC CHSL 25/05/2022 (Evening)]

Correct Answer: (c) 1727
Solution: