Algebra (SSC) (Part-7)

Total Questions: 50

1. Find the value of p³ - r³. if p + r = 21, and pr = 38. [SSC CHSL 10/03/2023 (4th Shift)]

Correct Answer: (d) 6851
Solution:

2. What is the value of (a + b + c) {(a - b)² + (b - c)² + (c - a)²} ? [SSC CHSL 13/03/2023 (1st Shift)]

Correct Answer: (b) 2a³ + 2b³ + 2c³ - 6abc
Solution:

3. Solve the following equation: [SSC CHSL 13/03/2023 (1st Shift)]

Correct Answer: (d) 0
Solution:

4. What is the value of: [SSC CHSL 13/03/2023 (2nd Shift)]


Correct Answer: (a)
Solution:

5. What is the expansion of (a - 4)³ ? [SSC CHSL 13/03/2023 (3rd Shift)]

Correct Answer: (c) a³ - 12a² + 48a - 64
Solution:

6. If x - y = 8 and 8xy = 8, then what is the value of 2𝓍³ - 2y³ ? [SSC CHSL 13/03/2023 (4th Shift)]

Correct Answer: (c) 1072
Solution:

7. If a³ = b³ + 988 and a - b = 4, then what is the value of 2a² + 2ab + 2b² ? [SSC CHSL 14/03/2023 (1st Shift)]

Correct Answer: (b) 494
Solution:

 

8. If a³ + 3a² + 3a = 63, then the value of a² + 2a is: [SSC CHSL 14/03/2023 (2nd Shift)]

Correct Answer: (c) 15
Solution:

9. If a + b + c = 6 and a² + b² + c² = 40. then what is the value of a³ + b³ + c³ - 3abc ? [SSC CHSL 14/03/2023 (3rd Shift)]

Correct Answer: (b) 252
Solution:

10. If 9a + 9b + 9c = 81 and 4ab + 4bc + 4ca = 160, then what is the value of 6a² + 6b² + 6c² ? [SSC CHSL 14/03/2023 (4th Shift)]

Correct Answer: (d) 6
Solution: