Algebra (SSC) (Part-2)

Total Questions: 50

41. The solution of the following equations is: [SSC CGL 13/09/2024 (1st Shift)]

5x + 4y - 8z = 1
7x - 9y + z = - 1
2x + 3y - 4z = 1

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

42. Solve the following equation: [SSC CGL 13/09/2024 (2nd Shift)]


Correct Answer: (a)
Solution:

43. For which of the following values of a and b do the given equations, have no solution? [SSC CGL 13/09/2024 (2nd Shift)]

x - ay = 2 - a
(1 - a) x + 6y = a + b

Correct Answer: (b) a = 3, b ≠-1
Solution:

44. Solve the following equation: [SSC CGL 13/09/2024 (3rd Shift)]

Correct Answer: (d) a²b² + 1
Solution:

45. For what value of k, the system of equation k𝓍 - 15y + 7 = 0 and 7𝓍 - 21y 19 = 0 NO solution? [SSC CGL 17/09/2024 (1st Shift)]

Correct Answer: (a) 5
Solution:

46. Solve the following equation: [SSC CGL 17/09/2024 (1st Shift)]

Correct Answer: (d) 756
Solution:

47. Solve the following equation: [SSC CGL 17/09/2024 (3rd Shift)]

Correct Answer: (b) 63/8
Solution:

48. The sum of five consecutive numbers is 80. Find the largest number. [SSC CGL 18/09/2024 (1st Shift)]

Correct Answer: (a) 18
Solution:

49. Solve the following equation: [SSC CGL 18/09/2024 (1st Shift)]

Correct Answer: (b) 194
Solution:

50. If the system of the following equations has the value of the variables as three consecutive integers, then the value of a is ____. [SSC CGL 18/09/2024 (1st Shift)]

x - y + z = 2a
x + 4y - 2z = 3(4 - a)
2x - 3y + 4z = 6 - 2a

Correct Answer: (c) 1
Solution: