Algebra (SSC) (Part-11)

Total Questions: 50

11. If a³ + b³ = 218 and a + b = 2, then the value of √(1 - ab) is: [SSC CGL 19/4/2022 (Morning)]

Correct Answer: (d) 6
Solution:

12. If 𝑥²- 5x - 1 = 0, what is the value of:- [SSC CGL 19/04/2022 (Afternoon)]

Correct Answer: (d) 135
Solution:

13. If (𝑥 + 𝑦)³ − (𝑥 − 𝑦)³ − 3𝑦(2𝑥² − 3y²) = 𝑘𝑦³ then find the value of 𝑘. [SSC CGL 19/4/2022 (Evening)]

Correct Answer: (c) 11
Solution:

14. Solve the following equation: [SSC CGL 20/04/2022 (Afternoon)]

Correct Answer: (d) 46
Solution:

15. If a + b + c = 6 , a² + b² + c² = 32, and a³ + b³ + c³ = 189, then the value of 4abc is: [SSC CGL 20/04/2022 (Evening)]

Correct Answer: (a) 12
Solution:

16. If x⁴ - 79x² + 1= 0, then a value of x + x⁻¹ can be : [SSC CGL 21/04/2022 (Afternoon)]

Correct Answer: (a) 9
Solution:

17. Solve the following equation: [SSC CGL 21/04/2022 (Evening)]

Correct Answer: (a) 33
Solution:

18. Solve the following equation: [SSC CGL 21/04/2022 (Evening)]

Correct Answer: (b) 47
Solution:

19. If a + b + c = 1,ab + bc + ca = − 22 and abc = − 40, then what is the value of 𝑎³ + 𝑏³ + 𝑐³ ? [SSC CGL Tier II (29/01/2022)]

Correct Answer: (d) - 53
Solution:

20. Solve the following equation: [SSC CGL Tier II (29/01/2022)]

Correct Answer: (b) √17/2
Solution: