Cadet Colleges Test 2026 Algebra Free Quiz 3

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Cadet Colleges Test 2026 Algebra Free Quiz 3

Cadet Colleges Test Quiz

10:00

Answered: 0 / 10

Remaining: 10

Navigator 10 Q

General

General 10 MCQs

21. Factorize the quadratic expression: x^2 - 5x + 6

A. (x + 2)(x + 3) B. (x - 1)(x - 6) C. (x + 1)(x - 6) D. (x - 2)(x - 3)

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

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

23. If a - b = 5 and ab = 6, find the value of a^2 + b^2.

A. 31 B. 37 C. 13 D. 49

24. Divide (6x^3 - 9x^2) by 3x.

A. 2x^2 - 3x B. 2x - 3 C. 2x^2 - 3 D. 3x^2 - 3x

25. Which of the following is the correct expansion for 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)

26. If x^2 - y^2 = 48 and x - y = 6, find the value of x + y.

A. 6 B. 7 C. 8 D. 12

27. Expand: (2x - 3)^2

A. 4x^2 - 9 B. 4x^2 - 12x + 9 C. 4x^2 + 12x + 9 D. 2x^2 - 12x + 9

28. Factorize completely: 2x^2 + 5x + 3

A. (2x + 3)(x + 1) B. (2x + 1)(x + 3) C. (2x - 3)(x - 1) D. (x + 2)(2x + 1.5)

29. Simplify the algebraic fraction: (x^2 - 9) / (x - 3)

A. x - 3 B. x^2 + 3 C. 3 D. x + 3

30. Simplify: (x + y)^2 - (x - y)^2

A. 2xy B. 2x^2 + 2y^2 C. 4xy D. 0

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