Algebra (SSC)

Total Questions: 50

11. Simplify: [SSC CHSL 07/08/2023 (3rd Shift)]

Correct Answer: (d) 1/4
Solution:

12. For what positive value of k, the equation 3x² + 2kx + 3 = 0 has real and equal roots? [SSC CHSL 07/08/2023 (2nd Shift)]

Correct Answer: (c) 3
Solution:

13. Simplify the following expression. [SSC CHSL 04/08/2023 (4th Shift)]

Correct Answer: (b) 4a²
Solution:

14. Find the value of (a³ + b³ + c³- 3abc), where a = 335, b = 215 and c = 180. [SSC CHSL 04/08/2023 (3rd Shift)]

Correct Answer: (a) 14472250
Solution:

15. Simplify the expression : [SSC CHSL 04/08/2023 (1st Shift)]


Correct Answer: (a)
Solution:

16. If x³ = 270 + y³ and x = (6 + y), then What is the value of (x + y)? (given that x > 0 and y > 0) [SSC CHSL 03/08/2023 (4th Shift)]

Correct Answer: (c) 4√3
Solution:

17. If p + q + r = 0 , then what is the simplified value of the expression. [SSC CHSL 03/08/2023 (2nd Shift)]

Correct Answer: (b) 2
Solution:

18. Solve the equation ? [SSC CHSL 02/08/2023 (2nd Shift)]

Correct Answer: (b) 23030√23
Solution:

19. The difference between the cubes of two given natural numbers is 6272, while the positive difference between the two given numbers is 8. What is the sum of the cubes of the two given numbers? [SSC CGL 27/07/2023 (1st shift)]

Correct Answer: (a) 9728
Solution:

20. If a = 101, b = 102 and c = 103, then a² + b² + c² - ab - bc - ca = ______. [SSC CGL 24/07/2023 (1st shift)]

Correct Answer: (c) 3
Solution: