Cadet Colleges Test 2026 Algebra Free Quiz 6

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Cadet Colleges Test 2026 Algebra Free Quiz 6

Cadet Colleges Test Quiz

10:00

Answered: 0 / 10

Remaining: 10

Navigator 10 Q

General

General 10 MCQs

51. If x + 1/x = 4, find the value of x^2 + 1/x^2.

A. 16 B. 18 C. 12 D. 14

52. Which formula represents x^3 - y^3?

A. (x + y)(x^2 - xy + y^2) B. (x - y)(x^2 + xy + y^2) C. (x - y)^3 D. (x - y)(x^2 - xy + y^2)

53. Factorize completely: 2x^2 - 8

A. (2x - 4)(x + 2) B. 2(x - 4)^2 C. 2(x - 2)(x + 2) D. (x - 2)(2x + 4)

54. Solve the system of equations: x + y = 10 and x - y = 4

A. x = 7, y = 3 B. x = 6, y = 4 C. x = 8, y = 2 D. x = 5, y = 5

55. What is the condition for a quadratic equation ax^2 + bx + c = 0 to have real and equal roots?

A. b^2 - 4ac > 0 B. b^2 - 4ac < 0 C. b^2 - 4ac = 1 D. b^2 - 4ac = 0

56. Find the roots of the quadratic equation: x^2 - 5x + 6 = 0

A. -2, -3 B. 2, 3 C. 1, 6 D. -1, -6

57. Expand: (x + 2)^3

A. x^3 + 8 B. x^3 + 6x + 8 C. x^3 + 6x^2 + 12x + 8 D. x^3 + 2x^2 + 4x + 8

58. Solve for x: 2^x = 32

A. 5 B. 4 C. 6 D. 16

59. Solve for x: 3x/2 - 1/3 = 5/6

A. 1/3 B. 1/2 C. 2/3 D. 7/9

60. Factorize completely: x^4 - 16

A. (x^2 - 4)^2 B. (x - 2)(x + 2)(x^2 + 4) C. (x - 2)^2(x + 2)^2 D. (x - 4)(x + 4)(x^2 + 4)

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