Algebra (SSC) (Part-8)

Total Questions: 50

21. If y = 1 + √3 + √4, then the value of 2y⁴ - 8y³ - 6y² + 28y - 84 is: [SSC CGL 08/12/2022 (2nd Shift)]

Correct Answer: (a) 40√3
Solution:


22. Solve the following equation: [SSC CGL 08/12/2022 (2nd Shift)]

Correct Answer: (d) 321/323
Solution:

23. Solve the following equation: [SSC CGL 08/12/2022 (2nd Shift)]

Correct Answer: (b) 25
Solution:

24. Which of the following will satisfy a² = b² + (ab)b² for the values a and b ? [SSC CGL 08/12/2022 (3rd Shift)]

Correct Answer: (c) a = cot x , b = cos x
Solution:

25. If abc = 5, what is the value of: [SSC CGL 08/12/2022 (3rd Shift)]

Correct Answer: (b) 1
Solution:

26. If 4(z + 7) (2z – 1) = Az² + Bz + C, then the value of A + B + C is: [SSC CGL 08/12/2022 (3rd Shift)]

Correct Answer: (b) 32
Solution:

27. Factorize the following expression: p³ + 27. [SSC CGL 08/12/2022 (3rd Shift)]

Correct Answer: (c) (p + 3) (p² - 3p + 9)
Solution:

28. What is the value of a² + b² + c², if a + b + c = 9 and ab + bc + ca = 23 ? [SSC CGL 08/12/2022 (4th Shift)]

Correct Answer: (d) 35
Solution:

29. Solve the following equation: [SSC CGL 08/12/2022 (4th Shift)]

Correct Answer: (b) 76
Solution:

30. If x + y + z = 0, then the value of :- [SSC CGL 09/12/2022 (1st Shift)]

Correct Answer: (a) 3
Solution: