Algebra (SSC) (Part-12)

Total Questions: 51

11. If 𝑥⁴ + 𝑦⁴ + 𝑥²𝑦² = 117 and 𝑥² + 𝑦² - 𝑥𝑦 = 3(4 + √3), then the value of (𝑥² + 𝑦²) will be: [SSC CHSL 12/04/2021 (Morning)]

Correct Answer: (c) 12
Solution:

12. Solve the following equation. [SSC CHSL 12/04/2021 (Evening)]

Correct Answer: (b) 4379
Solution:

13. If 𝑥 − 𝑦 − 𝑧 = 0, then the value of (𝑥² + 𝑦² + 𝑧² ) ÷ (𝑦² + 𝑧𝑥) is: [SSC CHSL 12/04/2021 (Evening)]

Correct Answer: (b) 2
Solution:

14. Given that (2𝑥 + 𝑦)³ − (𝑥 + 2𝑦)³ = (𝑥 − 𝑦) [𝐴(𝑥² + 𝑦²) + 𝐵𝑥𝑦], then the value of (2A - B) is: [SSC CHSL 13/04/2021 (Afternoon)]

Correct Answer: (d) 1
Solution:

15. If x³ + y³ = 468 and x + y = 12, then the value of x⁴ + y⁴ will be: [SSC CHSL 13/04/2021 (Evening)]

Correct Answer: (d) 3026
Solution:

16. If a² + b² + c² + 170 = 2(8a + 5b - 9c), then the value of √(4a + 8b - c) will be. [SSC CHSL 13/04/2021 (Evening)]

Correct Answer: (c) 9
Solution:

17. Solve the following equation: [SSC CHSL 15/04/2021 (Morning)]

Correct Answer: (b) 23
Solution:

18. Solve the following equation: [SSC CHSL 15/04/2021 (Morning)]

Correct Answer: (d) 365/4
Solution:

19. If (7x + 3)³ + (x - 2)³ + 27(2x - 5)³ = 9(7x + 3) (x - 2) (2x - 5) then the value of 5x + 3 is: [SSC CHSL 15/04/2021 (Morning)]

Correct Answer: (a) 8
Solution:

20. Solve the following equation: [SSC CHSL 16/04/2021 (Morning)]

Correct Answer: (d) 90
Solution: