Algebra (SSC) (Part-6)

Total Questions: 50

1. Solve the following equation: [SSC CGL 19/07/2023 (4th shift)]

Correct Answer: (b) 2
Solution:

2. If (a + b + c) = 20, and 𝑎² + 𝑏² + 𝑐² = 152, find the value of 𝑎³ + 𝑏³ + 𝑐³ − 3abc. [SSC CGL 19/07/2023 (4th shift)]

Correct Answer: (a) 560
Solution:

3. Simplify the expression; [SSC CGL 20/07/2023 (1st shift)]


Correct Answer: (b)
Solution:

4. Solve the equation: [SSC CGL 20/07/2023 (2nd shift)]

Correct Answer: (a) 1561√14
Solution:

5. If a + b + c = 7, ab + bc + ca = 11 and abc = -1, then a³ + b³ + c³ is equal to: [SSC CGL 20/07/2023 (3rd shift)]

Correct Answer: (c) 109
Solution:

6. Solve the following equation: [SSC CGL 20/07/2023 (4th shift)]

Correct Answer: (a) 12√10
Solution:

7. Solve the following equation. [SSC CGL 20/07/2023 (4th shift)]

Correct Answer: (c) 24384√7
Solution:

8. Simplify:- [SSC CGL 21/07/2023 (2nd shift)]

Correct Answer: (a) 4/5
Solution:

9. Simplify the following expression. [SSC CGL 21/07/2023 (3rd shift)]

[(1 + P) (1 + P²) (1 + P⁴) (1 + P⁸) (1 + P¹⁶) (1 - P) - 1]

Correct Answer: (a) -P³²
Solution:

10. If x and y are positive numbers such that x - y = 5 and xy = 150, then the value of (x + y) is: [SSC CGL 21/07/2023 (3rd shift)]

Correct Answer: (b) 25
Solution: