(a) A pentagon is such that one of its exterior sides is 60°. Two others are (90 - m)° each while the remaining angles are (30 + 2m)° each. Find the value of m.

(b)

In the diagram, PQR is a straight line, \(\overline{QR} = \sqrt{3} cm\) and \(\overline{SQ} = 2 cm\). Calculate, correct to one decimal place, < PQS.

A fixed mass of gas of volume 600cm³ at a temperature of 27^oC is cooled at constant pressure to a temperature of 0^oC. What is the change in volume?

• A. 54cm²
• B. 273cm²
• C. 300cm²
• D. 546cm²

Comparison of the price and output decisions of a perfectly competitive firm with those of a monopolist shows that the?

• A. monopolist charges a lower price than the perfect competitior
• B. perfect competitior charges a lower price and produces a large output than the monopolist
• C. perfect competitior produces a smaller output than the monopolist
• D. monopolist charges a lower price and produces a larger output than the perfect competitor

The parable of the Lost Sheep illustrates the

• A. way to salvation
• B. joy in heaven over a sinner that repents
• C. need for the kingdom of God before wordly gains
• D. importance of prayers

Arise, be gone The statement above was made by Amnon when

• A. he had captured Absalom
• B. he had raped Tamar
• C. Absalom invited him to a feast
• D. he sent his servants to David

Which of the following may serve as delivery note?

• A. Debit note
• B. Credit note
• C. Invoice
• D. Advice note

System software has which major function?

• A. Giving utility
• B. making navigation easier for user
• C. controlling the computer system
• D. maintain the system

The term fiduciary issue means

• A. money issued without gold backing
• B. money issued with gold backing
• C. money issued as currency note
• D. gold reserve

Evaluate \(\log_{10}(\frac{1}{3} + \frac{1}{4}) + 2\log_{10} 2 + \log_{10} (\frac{3}{7})\)

• A. -3
• B. 0
• C. \(\frac{5}{6}\)
• D. 1

Chlorine, consisting of two isotopes of mass numbers 35 and 37, has an atomic mass of 35.5. The relative abundance of the isotope of mass number 37 is?

• A. 20
• B. 25
• C. 50
• D. 75