Correct Answer: A. president

Correct Answer: D. geographical distribution of organisms

Correct Answer: C. 15

Explanation

In this case, 4 workers produce 60kg of output therefore, the Average product of labour for the 3rd unit is 15kg. Given by: Average product =Total product/Variable product = 60/4 = 15kg

Explanation

(a)(i) A

(ii) I. D II. A III. B IV. C

(b)(i) Electrovalent bond is formed between ions while covalent bond is formed between atoms by sharing electrons or electrovalent bond is formed by mutual transfer of electrons to form ions while covalent bond is formed by sharing electrons.

(ii) –Hydrogen bond

–Metallic bond

–Van der Waal's force

–Dative or co-ordinate bond

(iii) Characteristics of covalent bond

–Low melting and boiling point.

–They are soluble in organic solvent

–They are mainly molecules

–They do not conduct electricity in solution or molten state.

(c)(i) Isotopy is the existence of atoms of the same element with the same atomic number but different mass number due to the number of neutrons.

(ii) Hydrogen: \(^1_1H\), \(^2_1H\), \(^3_1H\); Chlorine \(^{35}_{17}Cl\), \(^{37}_{17}Cl\); Carbon: \(^{14}_{6}C\), \(^{13}_{6}C\), \(^{12}_{6}C\)

(iii) Relative atomic mass of Z = \(\frac{1}{3}\) x 18 + \(\frac{2}{3}\) x 20 = 6 + 13.33 = 19.33

(d)(i) I. Halogen – Fluorine and iodine II. Noble gases – Neon and helium III. Alkaline earth metals –calcium and magnesium

(ii) \(^7_1Li\) + \(^1_4H\)H \(\to\) \(^8 \beta\) + \(\gamma\)

(iii) Uses of radioactive isotopes

-It is used in radio-carbon dating

–It is used in agriculture to produce disease resistant seeds.

–It is used in industries to detect leakages in pipes

–It is used to treat cancerous growth.

–It is used to sterilize surgical equipment.

Correct Answer: B. Concave lens

Correct Answer: B. 14cm

Explanation

1/3 πr\(^2\) x 9 = 1848

3 x πr2 = 1848 r2 = 1848/3 x 7/22 r = 14

\(\text{Volume of a cone} = \frac{1}{3} \pi r^2 h\)

\(\frac{1}{3} \times \frac{22}{7} \times r^2 \times 9 = 1848\)

\(r^2 = \frac{1848 \times 7}{22 \times 3}\)

\(r^2 = 196 \therefore r = 14cm\)

Correct Answer: B. demurrage charges

Explanation

(a) \(4x^{2} = 11x + 21 \implies 4x^{2} - 11x - 21 = 0\)

\(a = 4, b = - 11 , c = -21\)

\(x = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}\)

\(x = \frac{-(-11) \pm \sqrt{(-11)^{2} - 4(4)(-21)}}{2(4)}\)

\(x = \frac{11 \pm \sqrt{121 + 336}}{8}\)

\(x = \frac{11 \pm \sqrt{457}}{8}\)

\(x = \frac{11 \pm 21.378}{8}\)

\(x = \frac{11 + 21.378}{8}\) or \(x = \frac{11 - 21.378}{8}\)

\(x = \frac{32.378}{8}\) or \(x = \frac{-10.378}{8}\)\

\(x = \text{4.047 or -1.297}\)

\(x \approxeq \text{4.05 or -1.30}\).(2 decimal place).

(b) (i) \(I = \frac{PRT}{100}\)

\(I = £(1560 - 1500) = £60\)

\(60 = \frac{1500 \times R \times 1}{100}\)

\(60 = 15R \implies R = 4%\)

(ii) Interest for the second year

= \(\frac{1560 \times 4 \times 1}{100}\)

= \(£62.40\)

(c)

Explanation

(a) An agent; is a person who effects a contract between his principal and a third party. The agent may be an employee of his principal, e.g. salesman in a shop or he may be an independent contractor. He has power to make a binding contract between the principal and third parties without himself becoming a party to the contract.

(b) Duties of an agent are:

(i) The agent must keep proper book of accounts of all transactions connected with the agency and render them to the principal on request.

(ii) He must not delegate the performance of his duties.

(iii) He must not misuse confidential information regarding his principal's affairs.

(iv) He must not make secret profit or accept bribes in respect of the agency.

(v) He must not compete or let his interest conflict with that of his principal.

(vi) He must exercise due care and skill in the performance of his duty.

(vii) The agent must carry out the principal's lawful instructions.

(c) Rights of an agent are:

(i) The agent has right to his remuneration.

(ii) He has right to be indemnified against loss arising in the performance of his duty.

(iii) He has right to be paid any expense incurred in the course of the business.

Correct Answer: D. Episcopal Church