Algebra (SSC) (Part-5)

Total Questions: 50

1. Solve the following equation: [SSC CHSL 08/08/2023 (3rd Shift)]

Correct Answer: (c) 56
Solution:

2. If a + b + c = 5 and a² + b² + c² = 15, then find the value of a³ + b³ + c³ - 3abc - 27. [SSC CHSL 08/08/2023 (3rd Shift)]

Correct Answer: (a) 23
Solution:

3. Solve the following equation: [SSC CHSL 08/08/2023 (3rd Shift)]


Correct Answer: (c)
Solution:

4. The algebraic expression 4x² - y² + 6y - 9 is equal to________ . [SSC CHSL 09/08/2023 (1st Shift)]

Correct Answer: (a) (2x + y - 3)(2x - y + 3)
Solution:

5. Solve the following equation: [SSC CHSL 09/08/2023 (1st Shift)]


Correct Answer: (b)
Solution:

6. If (a + b + c) = 17, and (a² + b² + c²) = 101, find the value of (a - b)² + (b - c)² + (c - a)². [SSC CHSL 09/08/2023 (2nd Shift)]

Correct Answer: (b) 14
Solution:

7. Solve the following equation. [SSC CHSL 09/08/2023 (2nd Shift)]

Correct Answer: (a) 491
Solution:

8. Solve the following equation. [SSC CHSL 09/08/2023 (3rd Shift)]

Correct Answer: (c) 3/4
Solution:

9. Simplify the expression: (c + d)² - (c – d)² [SSC CHSL 09/08/2023 (3rd Shift)]

Correct Answer: (a) 4cd
Solution:

10. Which of the following expressions is equal to the expression (𝓍² - 3𝓍 + 2)/(𝓍² - 4) ? [SSC CHSL 09/08/2023 (4th Shift)]

Correct Answer: (b)
Solution: