Algebra (SSC) (Part-12)

Total Questions: 51

41. If (𝑥 − 1.5)³ + (𝑥 − 4)³ + (𝑥 − 3.5)³ = 3(𝑥 − 1.5)(𝑥 − 4) (𝑥 − 3.5), then what is the value of x ? [SSC CHSL 10/08/2021 (Evening)]

Correct Answer: (b) 3
Solution:

42. If 𝑥⁴ + 𝑥⁻⁴ = 47, 𝑥 > 0, then the value of (2𝑥 - 3)² is: [SSC CHSL 11/08/2021 (Morning)]

Correct Answer: (c) 5
Solution:

43. If 𝑎²+ 𝑏² + 𝑐² + 48 = 8(𝑎 + 𝑏 + 𝑐), then the value of ³√(𝑎³ - 𝑏³ - 𝑐³) ? [SSC CHSL 11/08/2021 (Morning)]

Correct Answer: (b) 4
Solution:

44. Solve the following equation: [SSC CHSL 11/08/2021 (Afternoon)]

Correct Answer: (d) 65
Solution:

45. If 3x - 2y + 3 = 0 , then what will be the value of 27𝑥³ + 54𝑥𝑦 + 30 − 8𝑦³ ? [SSC CHSL 12/08/2021 (Morning)]

Correct Answer: (d) 3
Solution:

46. Solve the following equation: [SSC CHSL 12/08/2021 (Afternoon)]

Correct Answer: (d) 639
Solution:

47. Solve the following equation: [SSC CHSL 12/08/2021 (Evening)]

Correct Answer: (c) 21 − 8√3
Solution:

48. If 𝑎² + 𝑏² + 𝑐² + 216 = 12 × (𝑎 + 𝑏 + 2𝑐) then √𝑎𝑏 - 𝑏𝑐 - 𝑐𝑎 is: [SSC CPO 23/11/2020 (Morning)]

Correct Answer: (a) 6
Solution:

49. The value of: [SSC CPO 23/11/2020 (Evening)]

Correct Answer: (b) 3
Solution:

50. If 𝑥² + 8𝑦² − 12𝑦 − 4𝑥𝑦 + 9 = 0, then the value of (7x - 8y) is: [SSC CPO 23/11/2020 (Evening)]

Correct Answer: (c) 9
Solution: