Algebra (SSC) (Part-12)

Total Questions: 51

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

Correct Answer: (d) 10
Solution:

22. If 𝑎² + 4𝑏² + 25𝑐² + 18 = 2(𝑎 - 2𝑏 +20𝑐), then what is the value of (a + 2b + 5c) ? [SSC CHSL 16/04/2021 (Afternoon)]

Correct Answer: (b) 4
Solution:

23. Simplify the following expression. [SSC CHSL 16/04/2021 (Evening)]

Correct Answer: (c) 140
Solution:

24. If 𝑥² + 𝑦² = 45 and x - y = 5 then what is the value of 𝑥³ + 𝑦³ ? [SSC CHSL 16/04/2021 (Evening)]

Correct Answer: (d) 275
Solution:

25. If a + b + c = 4, ab + bc + ca = - 14 and abc = - 18, then the value of √(4a³ + 4b³ + 4c³ - 36) will be: [SSC CHSL 19/04/2021 (Evening)]

Correct Answer: (a) 26
Solution:

26. Using algebraic identities, simplify the following expression. [SSC CHSL 04/08/2021 (Morning)]

Correct Answer: (d) (𝑥² - 𝑥 + 1)
Solution:

27. If a + b = p, ab = q the (a⁴ + b⁴) is equal to : [SSC CHSL 04/08/2021 (Morning)]

Correct Answer: (d) 𝑝⁴ - 4𝑝²𝑞 + 2𝑞²
Solution:

28. Solve the following equation: [SSC CHSL 04/08/2021 (Afternoon)]

Correct Answer: (c) 2702
Solution:

29. If x² + 1 - 2x = 0, x > 0, then x²(x² - 2) = _____. [SSC CHSL 04/08/2021 (Evening)]

Correct Answer: (c) -1
Solution:

30. Solve the following equation: [SSC CHSL 05/08/2021 (Morning)]

Correct Answer: (c) √3
Solution: