Algebra (SSC) (Part-5)

Total Questions: 50

11. Solve the following equation. [SSC CHSL 10/08/2023 (2nd Shift)]

Correct Answer: (a) 9
Solution:

12. If 2𝑥 + 5𝑦 = 15 and 𝑥𝑦 = 6, then the value of 4𝓍² + 25y² is_______ . [SSC CHSL 10/08/2023 (3rd Shift)]

Correct Answer: (a) 105
Solution:

13. Solve the following equation: [SSC CHSL 10/08/2023 (3rd Shift)]

Correct Answer: (c) 21.024
Solution:

14. Solve the following equation: [SSC CHSL 10/08/2023 (4th Shift)]

Correct Answer: (c) 185
Solution:

15. Simplify the given expression. [SSC CHSL 10/08/2023 (4th Shift)]

Correct Answer: (b) x² - y²
Solution:

16. If (a + b + c) = 17, and (a² + b² + c²) = 115, find then value of (a + b)² + (b + c)² + (c + a)². [SSC CHSL 11/08/2023 (2nd Shift)]

Correct Answer: (d) 404
Solution:

17. Simplify : (2a - 3b - c)² - (a + 2b + c)² [SSC CHSL 11/08/2023 (2nd Shift)]

Correct Answer: (d) 3a² + 5b² - 16ab + 2bc - 6ac
Solution:

18. Solve the following equation: [SSC CHSL 11/08/2023 (3rd Shift)]

Correct Answer: (b) 12.8√0.39
Solution:

19. If 𝓍² + y² + z² = 2(𝓍 + z - 1), then the value of 𝓍³ + y³ + z³ is equal to: [SSC CHSL 11/08/2023 (3rd Shift)]

Correct Answer: (c) 2
Solution:

20. If x + 3y = 6, what is the value of x³ + 27y³ + 54xy? [SSC CHSL 14/08/2023 (1st Shift)]

Correct Answer: (c) 216
Solution: