Subtract 6289 from 4389

• (a) 1900
• (b) 1800
• (c)-1900
• (d) -1800

If \(\begin{pmatrix} p+q & 1\\ 0 & p-q \end {pmatrix}\) = \(\begin{pmatrix} 2 & 1 \\ 0 & 8 \end{pmatrix}\)

Find the values of p and q

• A. p = 5, q = 3
• B. p = 5, q = -3
• C. p = -5, q = -3
• D. p = -5, q = 3

\(\begin{array}{c|c} \text{Class Interval} & Frequency & \text{Class boundaries} & Class Mid-point \\ \hline 1.5 - 1.9 & 2 & 1.45 - 1.95 & 1.7\\ 2.0 - 2.4 & 21 & 1.95 - 2.45 & 2.2\\ 2.5 - 2.9 & 4 & 2.45 - 2.95 & 2.7 \\ 3.0 - 2.9 & 15 & 2.95 - 3.45 & 3.2\\ 3.5 - 3.9 & 10 & 3.45 - 3.95 & 3.7\\ 4.0 - 4.4 & 5 & 3.95 - 4.45 & 4.2\\ 4.5 - 4.9 & 3 & 4.45 - 4.95 & 4.7\end{array}\)

Find the mode of the distribution above to find the mode of the distribution.

• A. 3.2
• B. 3.3
• C. 3.7
• D. 4.2

If 8 men can reap 80 hectares in 24 days, then how many hectares can 36 men reap in 30 days?

• A. 300
• B. 350
• C. 425
• D. 450

Find the equation whose roots are 2 and \(-3\frac{1}{2}\)

• A. 2x² + 3x + 14 = 0
• B. 2x² + 5x + 7 = 0
• C. 2x² + 5x - 7 = 0
• D. 2x² + 3x - 14 = 0

If M(4, q) is the mid-point of the line joining L(p, -2) and N(q, p). Find the values of p and q

• A. P = 2, q = 4
• B. p = 3, q = 1
• C. p = 5, q = 3
• D. p = 6, q = 2

Simplify \(\frac{2}{2 + x} + \frac{2}{2 - x}\)

• A. \(\frac{4}{4 - x^3}\)
• B. \(\frac{8}{4 - x^2}\)
• C. \(\frac{4x}{4 - x^2}\)
• D. \(\frac{8 - 4x}{4 - x^2}\)

Given that X and Y are independent events such that P(X) = 0.5, P(Y) = m and P(X U Y) = 0.75, find the value of m.

• A. 0.6
• B. 0.5
• C. 0.4
• D. 0.3

Given the scores: 4, 7, 8, 11, 13, 8 with corresponding frequencies: 3, 5, 2, 7, 2, 1 respectively. The mean score is

• A. 7.0
• B. 8.7
• C. 9.5
• D. 11.0

If \(4x^{2} + 5kx + 10\) is a perfect square, find the value of k.

• A. \(\frac{5\sqrt{10}}{4}\)
• B. \(4\sqrt{10}\)
• C. \(5\sqrt{10}\)
• D. \(\frac{4\sqrt{10}}{5}\)