Algebra (SSC) (Part-5)

Total Questions: 50

21. If p + q = 12 and pq = 14, then find the value of p² - pq + q². [SSC CHSL 14/08/2023 (3rd Shift)]

Correct Answer: (c) 102
Solution:

22. Simplify the given expression, [SSC CHSL 14/08/2023 (3rd Shift)]

Correct Answer: (d) 2x
Solution:

23. Simplify the expression: [SSC CHSL 14/08/2023 (4th Shift)]


Correct Answer: (a)
Solution:

24. If (d + e + f) = 14, (d² + e² + f²) = 96, then find the value of (de + ef + fd). [SSC CHSL 17/08/2023 (1st Shift)]

Correct Answer: (c) 50
Solution:

25. If g = (2 - √3), what will be the value of (g³ - 1/(g³) ? [SSC CHSL 17/08/2023 (1st Shift)]

Correct Answer: (a) -30√3
Solution:

26. Simplify the expression: [SSC CHSL 17/08/2023 (1st Shift)]

(2𝑥 + 13 - y) (2𝑥 - 13 - y)

Correct Answer: (c) 4𝑥² + 𝑦² − 4𝑥𝑦 − 169
Solution:

27. Simplify: [SSC CHSL 17/08/2023 (2nd Shift)]

(3x- 2y) (3x +2y) (9x² + 4y²)

Correct Answer: (d) 81x⁴ - 16y⁴
Solution:

28. Simply the given expression : [SSC CHSL 17/08/2023 (2nd Shift)]

(5p + 3q) (5p - 3q).

Correct Answer: (b) 25p² - 9q²
Solution:

29. Solve the following equation: [SSC CHSL 17/08/2023 (2nd Shift)]

Correct Answer: (d) 30
Solution:

30. If 3x - 2y= 3 and xy = 9, then find the value of 3x + 2y. [SSC CHSL 17/08/2023 (4th Shift)]

Correct Answer: (d) 15
Solution: