The position vectors of P, Q and R with respect to the origin are (4i-5j), (i+3j) and (-5i+2j) respectively. If PQRM is a parallelogram, find:

(a) the coordinates of M;

(b) the acute angle between \(\overline{PM}\) and \(\overline{PQ}\), correct to the nearest degree.

An example of a horst in Africa is

• A. Kilimanjaro
• B. Ruwenzori
• C. Cameroon
• D. Erta Ale

A sector of a circle of radius 9cm subtends angle 120° at the centre of the circle. Find the area of the sector to the nearest cm² [Take π = 22/7]

• A. 75cm²
• B. 84cm²
• C. 85cm²
• D. 86cm²

A feature produced by water in desert areas is-------

• A. barchans
• B. zeugens
• C. yardangs
• D. wadis

Read the poem and answer the question

At dawn must I rise to till the rock

That our land has turned into

The land where on we'd gleefully harvested paddy

Planted and nurtured and tended on plots marshy

Our woes are bloody woes of accursed revenges

Of the land spirits aggrieved and by his fellow

Kindred blood has counted for less than no value

Brother's wife has been wife to other brother's brother

Communal loot has emptied our country silos

The earth has stooped breathing and sighed

Soldered tears has the moon shed

The earth was scorched at noon-day night

And our land has turned to hoeing rock.

There is a predominance of words associated with

• A. celebration
• B. nature
• C. governance
• D. nurture

When fertilization occurs that leads to formation of a zygote, which of the following processes takes place?

• A. The tail of the sperm fuses with the egg cell
• B. Both tail and head of the sperm fuse with the egg cell
• C. The nucleus of the sperm fuses with the egg cell
• D. The egg cell develops on its own without the sperm

• A. Warri
• B. Lokoja
• C. Ibadan
• D. Kaduna

Which of the following is an example of a reflex action?

• A. Sneezing
• B. Biting
• C. Dancing
• D. Singing

Use the information below to answer questions .

Motor Vehicle Account as at 31st December 2001.

Debit:

Jan. 1, cost ................N1950 000

Dec.31, Addition ............ N400 000

Credit:

Jan. 1, Depreciation ........N1360 000

June 30, Sales proceeds...... N700 000

The vehicle sold was purchase on January 1, 1998 at a cost of N1,000 000 and had depreciation at 25% on cost.

What is the actual profit or loss arising from the vehicle disposed of?

• A. N250 000 loss
• B. N50 000 loss
• C. N450 000 profit
• D. N575 000 profit

300cm\(^3\) of a gas has a pressure 400mmHg. If the pressure is reduced to 150mmHg. Find its volume.

• A)
  700cm\(^3\)
• B)
  800cm\(^3\)
• C)
  350cm\(^3\)
• D)
  112.5cm\(^3\)