Algebra (SSC)

Total Questions: 50

1. Solve the equation ? [SSC CGL 26/09/2024 (2nd Shift)]

Correct Answer: (b) 97
Solution:

2. ‘x‘ varies directly with the cube of ‘y’ and inversely with the square of ‘z’. If x = 1/36 when y = 2 and z = 3, then what is the value of 800x when y = 3 and z = 5 ? [SSC CGL 25/09/2024 (3rd Shift)]

Correct Answer: (b)
Solution:

3. If 0.4x + 0.16y = 1.7 and 0.3x + 0.12y = 3.4, then which of the following is correct? [SSC CGL 11/09/2024 (2nd Shift)]

Correct Answer: (c) The system has no solution.
Solution:

4. If the equations 4x + (k − 2)y + 3 = 0 and (k − 2)x + 9y − 5 = 0 (k > 0) are parallel, then find the value of k² + 6. [SSC CGL 09/09/2024 (3rd Shift)]

Correct Answer: (b) 70
Solution:


5. If the polynomial (2𝓍³ + a𝓍² + 3𝓍 - 5) and (𝓍³ + 𝓍² - 2𝓍 + a) leave the same remainder when divided by (𝓍 - 2), find the remainder.  [SSC CPO 28/06/2024 (3rd Shift)]

Correct Answer: (d) 5
Solution:

6. Simplify the following expression: (x + y) (x - y) (x² + y²) (x⁴ + y⁴) (x⁸ + y⁸) (x¹⁶ + y¹⁶) [Graduate Level 26/06/2024 (Shift - 3)]

Correct Answer: (a) x³² - y³²
Solution:

7. If 𝓍⁴ + y⁴ = 𝓍² y², then the value of 𝓍⁶ + y⁶ is: [SSC CPO 04/10/2023 (1st Shift)]

Correct Answer: (d) 0
Solution:

8. Solve the equation ? [SSC CHSL 11/08/2023 (4th Shift)]


Correct Answer: (b)
Solution:

9. Solve the equation ? [SSC CHSL 09/08/2023 (4th Shift)]


Correct Answer: (d)
Solution:

10. If x² - 11x + 1 = 0 what is the value of x⁸ - 14159x⁴ + 11?

Correct Answer: (b) 10
Solution: