Algebra (SSC) (Part-2)

Total Questions: 50

31. Solve the following equation: [SSC CGL 11/09/2024 (1st Shift)]

Correct Answer: (b) 234
Solution:

32. Solve the given set of three equations to get the value of the unknowns: [SSC CGL 11/09/2024 (1st Shift)]

x + 2z = 3
x + 2y + 3z = 5
3x - 5z = -13

Correct Answer: (b) x = -1,y = 0,z = 2
Solution:

33. Solve the following equation: [SSC CGL 11/09/2024 (3rd Shift)]

Correct Answer: (d) 79
Solution:

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

Correct Answer: (b) 1
Solution:

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


Correct Answer: (c)
Solution:

36. For the following equations, what are the values of a and b to have infinitely many solutions? [SSC CGL 12/09/2024 (2nd Shift)]

ax + by = 2
3x - (5 - 2a)y = 6

Correct Answer: (c) a = 1, b = - 1
Solution:

37. If m + n = 24, then (m -16)³ + (n - 8)³ is _____. [SSC CGL 12/09/2024 (2nd Shift)]

Correct Answer: (a) 0
Solution:


38. Which of the following is the sum of the values of a and b if the equations 2x + y = a, 8x + by = 12 have infinite solutions? [SSC CGL 12/09/2024 (3rd Shift)]

Correct Answer: (c) 7
Solution:

39. If a² + b² + c² = 2(a + c -1), then the value of a³ + b³ + c³ = ? [SSC CGL 12/09/2024 (3rd Shift)]

Correct Answer: (b) 2
Solution:

40. Find the values of x, y and z, so as to satisfy the equations given below: [SSC CGL 12/09/2024 (3rd Shift)]

5x – 3y + 7z = 22; 3x – 5y – 2z = – 46; 2x – 2y + 5z = 24

Correct Answer: (c) x = – 5, y = 3, z = 8
Solution: