Factorize 2y² - 15xy + 18x²

A. (2y - 3x) (y + 6x)

B. (2y - 3x) (y - 6x)

C. (2y + 3x) (y - 6x)

D. (3y + 2x) (y - 6x)

Find the value of k if y - 1 is a factor of y³ + 4y² + ky - 6

A. -6

B. -4

C. O

D. 1

y varies directly as w². When y = 8, w = 2. Find y when w = 3

A. 18

B. 12

C. 9

D. 6

P varies directly as Q and inversely as R. When Q = 36 and R = 16, P = 27. Find the relation between P, Q and R.

A. \(P = \frac{Q}{12R}\)

B. \(P = \frac{12Q}{R}\)

C. \(P = 12QR\)

D. \(P = \frac{12}{QR}\)

What is the solution of \(\frac{x - 5}{x + 3} < -1\)?

A. -3 < x < 1

B. x < -3 or x > 1

C. -3 < x < 5

D. x < -3 or x > 5

Evaluate the inequality \(\frac{x}{2} + \frac{3}{4} \leq \frac{5x}{6} - \frac{7}{12}\)

A. \(x \geq 4\)

B. \(x \leq 3\)

C. \(x \geq -3\)

D. \(x \leq -4\)

The 4th term of an A.P. is 13 while the 10th term is 31. Find the 24th term.

A. 89

B. 75

C. 73

D. 69

What is the common ratio of the G.P. \((\sqrt{10} + \sqrt{5}) + (\sqrt{10} + 2\sqrt{5}) + ... \)?

A. \(\sqrt{2}\)

B. \(\sqrt{5}\)

C. 3

D. 5

A binary operation * is defined by x * y = x^y. If x * 2 = 12 - x, find the possible values of x

A. 3,4

B. 3,-4

C. -3,4

D. -3,-4

Find y, if \(\begin{pmatrix}5 & -6 \\2 & -7\end{pmatrix}\begin{pmatrix}x \\ y \end{pmatrix} = \begin{pmatrix}7 \\-11\end{pmatrix}\)

A. 8

B. 5

C. 3

D. 2