Algebra (SSC) (Part-10)

Total Questions: 50

41. What is the value of the following expression? [SSC CHSL 08/06/2022 (Afternoon)]

Correct Answer: (a) 1
Solution:

42. Solve the following equation: [SSC CHSL 08/06/2022 (Afternoon)]

Correct Answer: (b) 55√5
Solution:

43. If 𝑝𝑥³ + 𝑥² + 3𝑥 + q is exactly divisible by (x + 2) and (x - 2), then the values of p and q are: [SSC CHSL 08/06/2022 (Evening)]

Correct Answer: (d)
Solution:

44. If 𝑥³ + y³ = 416 and x + y = 8, then find 𝑥⁴ + y⁴ [SSC CHSL 08/06/2022 (Evening)]

Correct Answer: (d) 3104
Solution:

45. If 2z = x + y, then the value of : [SSC CHSL 09/06/2022 (Morning)]

Correct Answer: (c) 2
Solution:

46. If (ab + bc + ca) = 0, then what is the value of : [SSC CHSL 09/06/2022 (Morning)]

Correct Answer: (b) 0
Solution:

47. If (x + 2) and (x - 3) are the factors of x² + k₁x + k₂ , then : [SSC CHSL 09/06/2022 (Afternoon)]

Correct Answer: (b) k₁ = -1 and k₂ = -6
Solution:

48. Solve the following equation: [SSC CHSL 09/06/2022 (Afternoon)]

Correct Answer: (a) 8
Solution:

49. For what value (s) of k will the expression 𝑝 + (1/𝑝) √𝑝 + k² be a perfect square ? [SSC CHSL 10/06/2022 (Afternoon)]

Correct Answer: (d)
Solution:

50. If x + y + 3 = 0, then find the value of 𝑥³ + 𝑦³ − 9𝑥𝑦 + 9. [SSC CGL 11/04/2022 (Morning)]

Correct Answer: (a) – 18
Solution: