Algebra (SSC) (Part-9)

Total Questions: 50

11. If x + y = 10, 2xy = 48 and x > y, then find 2x - y. [SSC CPO 10/11/2022 (Morning)]

Correct Answer: (b) 8
Solution:

12. If a² + b² + 1 = 2a, then the value of a⁴ + b⁷ is: [SSC CPO 10/11/2022 (Afternoon)]

Correct Answer: (a) 1
Solution:

13. If a,b,c are all non - zero and a + b + c = 0 , find the value of:- [SSC CPO 10/11/2022 (Afternoon)]

Correct Answer: (a) 3
Solution:

14. Simplify: (𝓍 + y)³ - (𝓍 - y)³ - 6y(𝓍² - y²) [SSC CPO 10/11/2022 (Evening)]

Correct Answer: (a) 8y³
Solution:

15. Solve the following equation: [SSC CPO 10/11/2022 (Evening)]

Correct Answer: (d) 198
Solution:

16. If a, b and c are positive integers such that a² + b² = 82 and b² + c² = 65, then the value of 2a + 7b = 3c is: [SSC CPO 11/11/2022 (Morning)]

Correct Answer: (d) 1
Solution:

17. If x(x - 5) = - 1, then the value of x³ (x³ - 110) = ? [SSC CPO 11/11/2022 (Morning)]

Correct Answer: (b) - 1
Solution:

18. Solve the following equation: [SSC CPO 11/11/2022 (Afternoon)]

Correct Answer: (c) p⁴ - 2
Solution:

19. If a = - 9.6, b = 4.44 and c = 5.16, then the value of a³ + b³ + c³ - 3abc is: [SSC CPO 11/11/2022 (Afternoon)]

Correct Answer: (a) 0
Solution:

20. Solve the following equation: [SSC CPO 11/11/2022 (Afternoon)]

Correct Answer: (c) 47
Solution: