The head of the judicial arm of government in Nigeria is the

• A. Chief justice
• B. Supreme leader
• C. Chief of staff
• D. Chief Magistrate

(a) Two functions, f and g, are defined by \(f : x \to 2x^{2} - 1\) and \(g : x \to 3x + 2\) where x is a real number.

(i) If \(f(x - 1) - 7 = 0\), find the values of x.

(ii) Evaluate : \(\frac{f(-\frac{1}{2}) . g(3)}{f(4) - g(5)}\).

(b) An operation, \((\ast)\) is defined on the set R, of real numbers, by \(m \ast n = \frac{-n}{m^{2} + 1}\), where \(m, n \in R\). If \(-3, -10 \in R\), show whether or not \(\ast\) is commutative.

Potassium trioxonitrate (V) can be obtained from its solution by----------

• A. distillation
• B. evaporation
• C. crystallization
• D. filtration

From the following items purchased from Ndalempan Merchants Ltd, prepare an invoice to Osseh Builders Ltd

Jan. 8, 2014 , 200 buckets at D 100each

350 bags of cement at D 300each

50 metres of electrical wire at D 80per metre

120 boots at D 1200per dozen

55 bags of nails at D 500 per bag

All are subject to 10% trade discount.

If the temperature of sea level is 30°C the temperature of the air at a height of 2000 meters will be approximately

• A. 25°C
• B. 20°C
• C. 180°
• D. 10°C

Which of the following groups of crops requires a nursery?

• A. cotton,sorghum and tomato
• B. oil palm, cocoa and tomato
• C. cocoa, maize and rice
• D. banana, coffee and tomato

A satellite moves in a circular orbit of radius 4R round the earth. The acceleration of the satellite in terms of g is

• A. \(\frac{g}{16}\)
• B. \(\frac{g}{4}\)
• C. \(\frac{4}{g}\)
• D. \(\frac{16}{g}\)

Read the extract and answer the question

Here lies our sovereign Lord the King

Whose word no man relies on

Who never said a foolish thing

And never did a wise one.

The tone of the extract is one of

• A. anger
• B. pity
• C. sarcasm
• D. indifference

Development planning focuses mainly on

• A. allocation of resources by the entrepreneurs
• B. mapping out strategies by the government
• C. developing some areas of the country by the government
• D. deciding on which types of homes to build

Solve the equations

m² + n² = 29

m + n = 7

• A. (2, 3) and ( 3, 5)
• B. (2, 5) and (5, 2)
• C. (5, 2) and ( 5, 3)
• D. (5, 3) and (3, 5)