Find the area bounded by the curve y = x(2-x). The x-axis, x = 0 and x = 2.

• A. 4 sq units
• B. 2 sq units
• C. 4/3 sq units
• D. 1/3 sq units

Each interior angle of a regular nonagon(nine sided polygon) is equal to

• A. 160°
• B. 144°
• C. 140°
• D. 132°

Which of the following numbers is perfect cube?

• A. 350
• B. 504
• C. 950
• D. 1728

If Bolt runs 100 meters in 10 seconds, what will be his speed per hour?

• A. 10 Km per hour
• B. 3.6 Km per hour
• C. 1 Km per hour
• D. 10.6 Km per hour

If \(T = 2\pi \sqrt{\frac{l}{g}}\), make g the subject of the formula

• A. (4π l²) / T
• B. (4π²l) / T²
• C. (4π²l²) / T²
• D. (2π√l) / T

Find the inverse of \(\begin{pmatrix} 4 & 2 \\ -3 & -2 \end{pmatrix}\)

• A. \(\begin{pmatrix} 1 & 1 \\ -1.5 & -2 \end{pmatrix}\)
• B. \(\begin{pmatrix} 1 & -1 \\ 1.5 & -2 \end{pmatrix}\)
• C. \(\begin{pmatrix} -2 & 1 \\ 1.5 & 1 \end{pmatrix}\)
• D. \(\begin{pmatrix} -2 & -1 \\ 1.5 & 1 \end{pmatrix}\)

John was facing S35°E. If he turned 90° in the anticlockwise direction, find his new direction.

• A. S55°E.
• B. S35°W.
• C. N55°E.
• D. N35°W.

Which of the following is equal to \(\frac{72}{125}\)

• A. \( \frac{2^3 \times 3^2}{5^3} \)
• B. \( \frac{2^4 \times 3}{5^3} \)
• D. \( \frac{2^3 \times 3}{5^3} \)
• D. \( \frac{2^4 \times 3}{5^5} \)

In the figure below, Find the value of x

• A. 130^o
• B. 110^o
• C. 100^o
• D. 90^o

The polynomial f(x) =2x\(^3\) + px+ qx - 5 has (x-1) as a factor and a remainder of 27 when divided by (x + 2), where p and q are constants. Find the values of p and q.