Algebra (SSC) (Part-2)

Total Questions: 50

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

Correct Answer: (c) 𝓍² + 10𝓍 + 25
Solution:

22. Which of the following can be the value of k :- [SSC CGL 09/09/2024 (1st Shift)]

Correct Answer: (a) 1, 10
Solution:

23. Let a + b = 2c, then which of the following expressions is true? [SSC CGL 09/09/2024 (3rd Shift)]

Correct Answer: (c) a² + 2bc = b² + 2ac
Solution:

24. If x, y and z are positive numbers and x + y + z = 1, then the least value of 1/𝓍 + 1/y + 1/z is: [SSC CGL 09/09/2024 (3rd Shift)]

Correct Answer: (c) 9
Solution:

25. Solve the following equation: [SSC CGL 10/09/2024 (1st Shift)]

Correct Answer: (c) 142
Solution:

26. If the sum of three numbers is 18 and the sum of their squares is 36, then find the difference between the sum of their cubes and three times of their product. [SSC CGL 10/09/2024 (1st Shift)]

Correct Answer: (b) −1944
Solution:

27. Find the values of x, y and z, so as to satisfy the equations given below: [SSC CGL 10/09/2024 (2nd Shift)]

x + y + z = 12; x + y -z = 6; x - y + z = 4

Correct Answer: (c) x = 5, y = 4, z = 3
Solution:

28. Solve the following equation: [SSC CGL 10/09/2024 (2nd Shift)]

Correct Answer: (a) 47
Solution:

29. Solve the following equation: [SSC CGL 10/09/2024 (3rd Shift)]

Correct Answer: (a) 1/√13
Solution:


30. For what value of k will the lines 2𝓍 + 7ky - 8 = 0 and 𝓍 + y - 9 = 0 have no solution ? [SSC CGL 10/09/2024 (3rd Shift)]

Correct Answer: (a) 2/7
Solution: