Based on William Shakespeare's The Tempest, Ariel is identified as

• A. assistant to Sycorax
• B. leader of the spirits
• C. Prospero's daughter
• D. Alonso's wife

(a) The operation (*) is defined on the set of real numbers, R, by \(x * y = \frac{x + y}{2}, x, y \in R\).

(i) Evaluate \(3 * \frac{2}{5}\).

(ii) If \(8 * y = 8\frac{1}{4}\), find the value of y.

(b) In \(\Delta ABC, \overline{AB} = \begin{pmatrix} -4 \\ 6 \end{pmatrix}\) and \(\overline{AC} = \begin{pmatrix} 3 \\ -8 \end{pmatrix}\). If P is the midpoint of \(\overline{AB}\), express \(\overline{CP}\) as a column vector.

I-Mouse Il. -Keyboard III-Scanner IV. -Joystick.

The input devices used to capture date of birth on an Online form are?

• A. I, Il and IV only
• B. I, II and lll only
• C. I and ll only
• D. lI and IV only

One major aim of marriage in Islam is to

• A. increase the working force of the family
• B. distinguish between the duties of male and female
• C. enhance ethnic loyalty
• D. achieve legitimate procreation

An organism with a pair of indistinguishable genes is a

• A) heterozygote
• B) hybrid
• C) allelomorph
• D) homozygote

A car traveling at 80 km per hour leaves Lagos at 8.am for Ibadan 136km away. What time did it get to Ibadan?

• A. 8.42am
• B. 9.42am
• C. 9.32am
• D. 9.30am

Triangle SPT is the solution of the linear inequalities

• A. 2y - x - 2 ≤ 0, y + 2x + 2 ≥ 0, x ≥ 0
• B. 2y - x - 2 ≥ 0, y + 2x + 2 ≤ 0, -2 ≥ x ≥ -1
• C. -2 ≥ x ≥ 2, y ≤ 0, y + 2x + 2 ≥ 0, x ≥ 0
• D. 2y - x - 2 ≥ 0, y + 2x + 2 ≥ 0, y ≤ 0, x ≥ 0

A body is projected from the earth's surface with the intention of letting it escape from the earth's gravitational field. What is the minimum escape velocity of the body? [Earth's radius = 6.4 x 10³km, g = 10ms^-2]

• A. 14 kms^-1
• B. 13 kms^-1
• C. 12 kms^-1
• D. 11 kms^-1

The responsibilities of dividing a country into constituencies and accepting the nomination of candidates for elections are shouldered by the

• A. Ombudsman
• B. President
• C. Electoral Commission
• D. Census Board

Which of the following occurs when a solution of CuSO₄ is electrolysed using copper electrodes?

• A. The cathode becomes coated with copper
• B. Both electrodes gain electrons
• C. The blue colour of the solution fades gradually
• D. The anode increases in mass