Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

• A. 210
• B. 1050
• C. 21400
• D. 25200

\(f(x) = p + qx\), where p and q are constants. If f(1) = 7 and f(5) = 19, find f(3).

• A. 13
• B. 15
• C. 17
• D. 26

Out of 70 schools, 42 of them can be attended by boys and 35 can be attended by girls. If a pupil is selected at random from these schools, find the probability that he/ she is from a mixed school.

• A. \(\frac{1}{11}\)
• B. \(\frac{1}{10}\)
• C. \(\frac{1}{6}\)
• D. \(\frac{1}{5}\)

If \(16^{3x} = \frac{1}{4}(32^{x - 1})\), find the value of x.

• A. \(-1\)
• B. \(\frac{-1}{3}\)
• C. \(\frac{-3}{7}\)
• D. \(\frac{-5}{19}\)

Convert 3.1415926 to 5 decimal places

• A. 3.14160
• B. 3.14159
• C. 0.31415
• D. 3.14200

A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room

• A. 15/17
• B. 8/17
• C. 8/15
• D. 12/17

A man bought 220 mangoes at N5x. He sold each for 3x kobo and made a gain of N8. Find the value of x

• A. 2
• B. 5
• C. 6
• D. 10

The velocity \(v ms^{-1}\) of a particle moving in a straight line is given by \(v = 3t^{2} - 2t + 1\) at time t secs. Find the acceleration of the particle after 3 seconds.

• A. \(26 ms^{-2}\)
• B. \(18 ms^{-2}\)
• C. \(17 ms^{-2}\)
• D. \(16 ms^{-2}\)

When an aeroplane is 800m above the ground, its angle of elevation from a point P on the ground is 30°. How far is the plane from P by line of sight?

• A. 400m
• B. 800m
• C. 1500m
• D. 1600m

Simplify: 11011\(_2\) - 1101\(_2\)

• A. 101000\(_2\)
• B. 1100\(_2\)
• C. 1110\(_2\)
• D. 1011\(_2\)