A box contains 4 red and 3 blue identical balls. If two are picked at random, one after the other without replacement, find the probability that one is red and the other is blue.

• A. \(\frac{4}{7}\)
• B. \(\frac{2}{7}\)
• C. \(\frac{1}{7}\)
• D. \(\frac{1}{12}\)

The probabilities that Kodjo and Adoga pass an examination are \(\frac{3}{4}\) and \(\frac{3}{5}\) respectively. Find the probability of both boys failing the examination

• A. \(\frac{1}{10}\)
• B. \(\frac{3}{10}\)
• C. \(\frac{9}{20}\)
• D. \(\frac{2}{3}\)

Make m the subject of the relation k = \(\frac{m - y}{m + 1}\)

• A. m = \(\frac{y + k^2}{k^2 + 1}\)
• B. m = \(\frac{y + k^2}{1 - k^2}\)
• C. m = \(\frac{y - k^2}{k^2 + 1}\)
• D. m = \(\frac{y - k^2}{1 - k^2}\)

Evaluate: \((64^{\frac{1}{2}} + 125^{\frac{1}{3}})^2\)

• A. 121
• B. 144
• C. 169
• D. 196

Find the equation of a straight line passing through the point (1, -5) and having gradient of \(\frac{3}{4}\)

• A. 3x + 4y - 23 = 0
• B. 3x + 4y +23 = 0
• C. 3x - 4y +23 = 0
• D. 3x - 4y - 23 = 0

In the diagram, O is the centre, \(\bar{RT}\) is a diameter, ∠PQT = 33° and ∠TOS = 76°. Using the diagram, find the size of angle PRS.

• A. 76°
• B. 71°
• C. 38°
• D. 33°

If 480.00 borrowed for 3 years simple interest became N516, what was its rate of interest?

• A. 5%
• B. 2 ½ %
• C. 6%
• D. 4%

If we represent the word GRATEFUL with 97413586, what number is represented by FUEL?

• A. 5831
• B. 7836
• C. 5356
• D. 5836

The position vector of a body, with respect to the origin, is given by \(r = 4ti + (12 - 3t)j\) at any time t seconds.

(a) Find the velocity of the body ;

(b) Calculate the magnitude of the displacement between t = 0 and t = 5.

Find the range of values of x for which \(x^{2} + 4x + 5\) is less than \(3x^{2} - x + 2\)

• A. \(x > \frac{-1}{2}, x > 3\)
• B. \(x< \frac{-1}{2}, x > 3\)
• C. \(\frac{-1}{2} \leq x \leq 3\)
• D. \(\frac{-1}{2}< x< 3\)