\(Simplify: \frac{log √27 - log √8}{log 3 - log 2}\)

• A. \(\frac{3}{2}\)
• B. -\(\frac{1}{4}\)
• C. -\(\frac{3}{2}\)
• D. \(\frac{1}{4}\)

Find the radius of the circle 2x\(^2\) - 4x + 2y\(^2\) - 6y -2 = 0.

• A. 17/4
• B. 17/2
• C. 17/?2
• D. ?17/2

Five metals represented by the letters V to Z are arranged in order of their reactivity as shown . V>W>X>Y>Z. Which of the metals cannot displace Y from an aqueous solution of its salt?

• A. V
• B. W
• C. X
• D. Z

The ______ engineer designed a new machine

• (a)brilliant Nigerian young
• (b)Nigerian brilliant young
• (c)young Nigerian brilliant
• (d)brilliant young Nigerian

The only factor of production that plays an active role in the production process is

• A. land
• B. capital
• C. entrepreneur
• D. labour

After each of the following sentences, a list of possible interpretations of the sentence is given. Choose the interpretation that you consider most appropriate for each sentence.

It is cold comfort to tell a hungry man that starvation improves health. This means that telling a hungry man this is

• A. frightening
• B. consoling
• C. unhelpful
• D. hypocritical

A given volume of oxygen diffused through a porous partition in 8 seconds. How long would it take the same volume of carbon (IV) oxide to diffuse under the same condition? [C = 12.0, O = 16.0]

• A. 5.8 seconds
• B. 6.8 seconds
• C. 9.4 seconds
• D. 11.0 seconds

An example of a cartel is

• A. ECOWAS
• B. AU
• C. OPEC
• D. EU

a) Define surface tension.

(b) State two methods by which the surface tension of a liquid can be reduced.

The rain which fell after the contest between Elijah and the prophets of Baal shows

• A. that the forces of nature were at work in bringing rain
• B. the vindication of Yahweh as the true God
• C. Elijah as a powerful servant of God
• D. Elijah's authority over the forces of nature