Algebra (SSC) (Part-3)

Total Questions: 50

1. Solve the following equation: [SSC CGL 18/09/2024 (2nd Shift)]

Correct Answer: (b) 2
Solution:

2. If 3a + 2b = 27 and 27a³ + 8b³ = 1458, then find 2ab. [SSC CGL 18/09/2024 (3rd Shift)]

Correct Answer: (d) 75
Solution:

3. Solve the following equation: [SSC CGL 19/09/2024 (1st Shift)]

Correct Answer: (a) 3048190
Solution:

4. Solve the equation: [SSC CGL 19/09/2024 (2nd Shift)]

Correct Answer: (c) 3√5
Solution:

5. For the equations ax + (a² + 1)y = 4 and 4x + ay = a², which of the following statements is TRUE ? [SSC CGL 19/09/2024 (3rd Shift)]


Correct Answer: (d)
Solution:


6. If a + b + c = 0, then the value of (a² + b² + 2ab) is equal to: [SSC CGL 23/09/2024 (2nd Shift)]

Correct Answer: (a) c²
Solution:

7. Solve the following question. [SSC CGL 23/09/2024 (3rd Shift)]


Correct Answer: (c)
Solution:

8. If 3x + 2y = 10 and 2xy = 7, then find the value of 3x - 2y (if 3x – 2y > 0). [SSC CGL 23/09/2024 (3rd Shift)]

Correct Answer: (a) 4
Solution:

9. What conclusion can be drawn about the solution of the following system of linear equations in two variables: [SSC CGL 24/09/2024 (1st Shift)]

3𝓍 + 2y = 7, 2𝓍 + 3y = 7

Correct Answer: (b) Unique solution
Solution:

10. Simplify the following expression. [SSC CGL 24/09/2024 (1st Shift)]

(3𝓍 + 17 - 2y) (3𝓍 - 17 - 2y)

Correct Answer: (c) 9𝓍² - 12𝓍y + 4y² - 289
Solution: