Which of the following is most appropriate for a Cash with order terms of sale?

• A. Proforma invoice
• B. Credit note
• C. Debit note
• D. Consignment note

Which of the following conditions will make water boil at a temperature of 100^oC when the atmospheric pressure is 750mmHg?

• A. increase the external pressure
• B. reduce the external pressure
• C. heat more rapidly at the same pressure
• D. reduce the external pressure by a quarter

The use of predators or parasites to control pests in the farm is known as

• A. predator control
• B. chemical control
• C. biological control
• D. animal control

Potassium tetraoxomanganate (VII) is often added to impure water to?

• A. reduce organic impurities
• B. reduce inorganic impurities
• C. destroy bacteria and algae
• D. remove permanent hardness

As long as i am in the world, I am the light of the world| Jesus proved this claim by

• A. healing the sick only in the day time
• B. healing the sick man at Bethzatha
• C. restoring sight to the man born blind
• D. miraculously escaping from the Jews

Which of the following is used for modulation and demodulation ?

• A. Gateway
• B. Protocol
• C. Modem
• D. Multiplex

How many unpaired electron are in the p-orbitals of a fluorine atom?

• A) 3
• B) 0
• C) 1
• D) 2

Read the extract and answer the question

Work on,

My medicine work! Thus credulous fools are caught,

And many worthy and chaste dames even thus,

All guiltless, meet reproach. What ho! My lord!

My lord, I say!

(Act IV, Scene One, Lines 45 - 49)

Just before this speech,

• A. Othello falls into a trance
• B. Bianca flings a handkerchief at Cassio
• C. Montano fights with Cassio
• D. Roderigo is killed

In prophet Amos' message, the phrase you who afflict the righteous implies

• A. turning the law against the innocent
• B. oppressing the faithful and the diligent
• C. turning aside the needy at the gate
• D. persecuting the poor

Calculate, correct to three significant figures, the length of the arc AB in the diagram below.

[Take \(\pi = ^{22}/_7\)]

• A. 32.4 cm
• B. 30.6 cm
• C. 28.8 cm
• D. 30.5 cm

Correct Answer: B. 30.6 cm

Explanation

Consider ∠XOB and using Pythagoras theorem

13\(^2\) = 12\(^2\) + h\(^2\)

⇒ 169 = 144 + h\(^2\)

⇒ 169 - 144 =h\(^2\)

⇒ 25 = h\(^2\)

⇒ h = \(\sqrt25\) = 5cm

tan θ = \(\frac {opp}{adj}\)

⇒ tan θ = \(\frac{12}{5}\) = 2.4

⇒ θ = tan\(^{-1}\)(2.4)

⇒ θ = 67.38\(^0\)

∠AOB = 2θ = 2 x 67.38\(^o\) = 134.76\(^o\)

L = \(\frac{θ}{360^o} \times 2\pi r\)

⇒ L = \(\frac {134.76}{360} \times 2 \times \frac {22}{7} \times 13 = \frac {77082.72}{2520}\)

∴ L = 30.6cm (to 3 s.f)