Algebra (SSC) (Part-12)

Total Questions: 51

1. If (56√7π‘₯Β³ βˆ’ 2√2𝑦³) Γ· (2√7π‘₯ βˆ’ √2y) = 𝐴π‘₯Β² + 𝐡𝑦² βˆ’ 𝐢π‘₯𝑦, then find the value of 𝐴 + 𝐡 βˆ’ 14√𝐢. [SSC CGL 20/08/2021 (Afternoon)]

Correct Answer: (c) 58
Solution:

2. If x - y = 4 and xΒ³ - yΒ³ = 316, y > 0 then the value of π‘₯⁴ βˆ’ 𝑦⁴ is: [SSC CGL 20/08/2021 (Evening)]

Correct Answer: (b) 2320
Solution:

3. If 8 + 2pxΒ² - 36x - 27xΒ³ = (2 - 3x)Β³ , then what is the value of p? [SSC CGL 23/08/2021 (Morning)]

Correct Answer: (a) 27
Solution:

4. Solve the equation: [SSC CGL 23/08/2021 (Morning)]


Correct Answer: (b)
Solution:

5. Solve the following equation: [SSC CGL 23/08/2021 (Morning)]

Correct Answer: (d) 15/4
Solution:

6. If 9(a² + b²) + c² + 20 = 12 (a + 2b), then the value of √(6a + 9b + 2c) is: [SSC CGL 23/08/2021 (Evening)]

Correct Answer: (b) 4
Solution:

7. If 2x + 3y + 1 = 0, then what is the value of (8xΒ³ + 8 + 27yΒ³ - 18xy) ? [SSC CGL 24/08/2021 (Morning)]

Correct Answer: (a) 7
Solution:

8. Simplify the following expression. [SSC CGL 24/08/2021 (Afternoon)]


Correct Answer: (a)
Solution:

9. If y = 2x + 1, then what is the value of (8xΒ³ - yΒ³ + 6xy)? [SSC CGL 24/08/2021 (Afternoon)]

Correct Answer: (c) -1
Solution:

10. Given that x⁸ - 34x⁴ +1 = 0, x > 0. What is the value of (x³ - x³) ? [SSC CGL 24/08/2021 (Evening)]

Correct Answer: (b) 14
Solution: