A binary operation * is defined on the set of real numbers, R, by

P * q = \(\frac{q^2 - p^2}{2pq}\). Find 3 * 2

• A. \(\frac{13}{12}\)
• B. \(\frac{5}{12}\)
• C. -\(\frac{5}{12}\)
• D. \(\frac{-1}{2}\)

(a) Evaluate \(\frac{^{9}P_{3}}{^{15}C_{3}} + \frac{^{5}C_{3}}{^{3}P_{2}}\) correct to two decimal places.

(b) A committee of 2 tutors and 5 pupils is to be formed among 6 tutors and 10 pupils. In how many ways can this be done if one particular tutor must be on the committee and two particular pupils must not be on the committee?

In ''I am so famished, I can devour a whole cow'', the device used is

• A. hyperbole
• B. metaphor
• C. irony
• D. sarcasm

A business shows total debtors’ balances of ?400,000 in its ledger at the end of its financial year. A customer owing ?40,000 is bankrupt, and there is no possibility of getting the debt paid. A further 2% of the debt is considered doubtful. What debtor’s total will be included as a current asset in the balance sheet?

• A) ?400,000
• B) ?352,800
• C) ?352,000
• D) ?436,200

A major shortcoming of the Ombudsman is

• A. lack of adequate resources
• B. its inability to restrain bureaucratic excesses
• C. lack of clear-cut mandate
• D. lack of executive power to enforce decisions

Given that TR is total revenue, then TRn -TR (n-1) can be used to find the

• A. marginal revenue
• B. marginal cost
• C. average cost
• D. average revenue

which of the following did God do on the seventh day after He had completed the work of creation? He

• A. blessed and hallowed the seventh day
• B. worshipped on the seventh day
• C. took a record of all that He had created
• D. blessed all that He had created

Hereditary characteristics are passed from parents to offspring through the

• A. cytoplasm
• B. placenta
• C. gene
• D. umbilical cord

Which of the following organisms has a symbiotic relationship with green algae?

• A. Amoeba
• B. Paramecium
• D. Euglena
• C. Hydra

This question is based on Mariama Ba's So Long a Letter

What is the source of Aissatou's success in life?

• A. Vengeance
• B. Feminine courage
• C. Social connections
• D. Luck