Algebra (SSC) (Part-3)

Total Questions: 50

11. If a + b = c, then the expression a³ + b³ - c³ + 3 abc will be equal to: [SSC CGL 24/09/2024 (3rd Shift)]

Correct Answer: (a) 0
Solution:

12. Solve the following equation. [SSC CGL 25/09/2024 (1st Shift)]

Correct Answer: (c) 2
Solution:

13. Solve the following equation. [SSC CGL 25/09/2024 (1st Shift)]

Correct Answer: (c) -(1/3)
Solution:

14. Find the values of 'a' and 'b' for which the system of equations 3x + y = 3 and (a - b)x + (a + b)y = 3a + b - 3 has infinite solutions. [SSC CGL 25/09/2024 (1st Shift)]

Correct Answer: (c)
Solution:



15. The value of (x + y)² + (x - y)² is equal to : [SSC CGL 25/09/2024 (2nd Shift)]

Correct Answer: (b) 2(x² + y²)
Solution:

16. Find the value of 'k' for which the system of equations 4x + 6y = 7 and 6x + (k + 4)y - 21=0 has a unique solution. [SSC CGL 25/09/2024 (2nd Shift)]

Correct Answer: (b) k ≠ 5
Solution:

17. If a² + b² = 148 and ab = 54, then find the value of (a+b)/(a-b). [SSC CGL 25/09/2024 (3rd Shift)]

Correct Answer: (a)
Solution:

18. Given a linear equation in two variables: 5x + 7y - 8 = 0, which of the following linear equations, along with the given equation, forms a system of linear equations having no solution? [SSC CGL 26/09/2024 (1st Shift)]

Correct Answer: (a) 5x + 7y - 16 = 0
Solution:

19. If 2a - b = 3 and 8a³ - b³ = 999, then find the value of 4a² - b² ? [SSC CGL 26/09/2024 (2nd Shift)]

Correct Answer: (a) 63
Solution:


20. There are 160 multiple choice questions in a test. 4 marks are allotted for a correct answer and 1 mark is deducted for a wrong answer or un-attempted question from the total score of correct answers. If a candidate scored 400 marks in the test, how many questions did he answer correctly? [SSC CHSL 03/07/2024 (4th Shift)]

Correct Answer: (b) 112
Solution: