Algebra (SSC) (Part-9)

Total Questions: 50

1. Solve the equation ? [SSC CGL 13/12/2022 (4th Shift)]

Correct Answer: (b) 288
Solution:

2. If x⁴ + x⁻⁴ = 47, x > 0, then what is the value of x + (1/𝓍) - 2 ? [SSC CPO 09/11/2022 (Morning)]

Correct Answer: (a) 1
Solution:

3. The value of: [SSC CPO 09/11/2022 (Afternoon)]

Correct Answer: (c) 1/(𝑥 + 𝑦)(𝑦 + 𝑧)(𝑧 + 𝑥)
Solution:


4. If a + b + c = 10 ; a² + b² + c² = 38, what is the value of (a - b)² + (b - c)² + (c - a)² ? [SSC CPO 09/11/2022 (Afternoon)]

Correct Answer: (c) 14
Solution:

5. Solve the following equation: [SSC CPO 09/11/2022 (Evening)]

Correct Answer: (a) 9/4
Solution:

6. The value of:- [SSC CPO 09/11/2022 (Evening)]

Correct Answer: (c) 2
Solution:

7. If x + y + z = 8, and x² + y² + z² = 20 then the value of x³ + y³ + z³ - 3xyz is _______. [SSC CPO 09/11/2022 (Evening)]

Correct Answer: (d) – 16
Solution:

8. If {(1 ÷ x) × (x³ - 2x²) + (4³ ÷ 2⁵) × 𝓍} ÷ 25 = 1, then the possible values of x is/are: [SSC CPO 09/11/2022 (Evening)]

Correct Answer: (d) Both 5 and - 5
Solution:

9. The simplified form of (7x + 4y)² + (7x − 4y)² is: [SSC CPO 10/11/2022 (Morning)]

Correct Answer: (a) 98x² + 32y²
Solution:

10. What are the values of x and y, respectively, from the following equations? [SSC CPO 10/11/2022 (Morning)]

6x + 7y = 5xy
10y - 4x = 4xy

Correct Answer: (c) 2 and 4
Solution: