Correct Answer: C. N54,000

Correct Answer: B. I, II and III only

Explanation

(a) \(d = 15 cm \implies r = \frac{15}{2} cm\)

\(V = \frac{4\pi r^{3}}{3}\)

\(V = \frac{4}{3} \times \frac{22}{7} \times (\frac{15}{2})^{3}\)

\(V = \frac{1125 \times 22}{7 \times 2}\)

\(V = 1,767.857 cm^{3}\)

(b)(i) Longitude difference : 105° + 35° = 140°

Distance along the parallel of latitude = \(\frac{140}{360} \times 2 \times \frac{22}{7} \times 6400 \cos 28\)

= \(\frac{140 \times 44 \times 6400 \times 0.8829}{360 \times 7}\)

= \(13812.48 km\)

\(\approxeq 13800 km\)

(ii) Distance from the equator : \(\frac{28}{360} \times 2 \times \frac{22}{7} \times 6400\)

= \(3128.89 km\)

\(\approxeq 3130 km\)

Explanation

(a) Perfect competition:

(i) Large numbers of buyers and sellers such that no single seller or buyer can influence the price

(ii) Free entry and exit such that there is no barrier to entering or leaving the market.

(iii) Common price rules the market because price is fixed by the forces of demand and supply

(iv) Homogenous product (the same product) is sold by all sellers in the market

(v) There is perfect knowledge about prices prevailing in the market by both sellers and buyers.

(vi) Absence of government control. Government does not interfere in the activities of the market

(vii) No preferential treatment as sellers and buyers are indifferent as to whom they buy from or sell to.

(viii) Identical cost conditions exist as there are no transport costs that may influence price.

(ix) There is perfect mobility of factors of production since producers can easily move from one line of production to another without hindrance.

Monopolistic competition:

(i) There is a large number of sellers but each seller chooses his own market strategy.

(ii) Products are differentiated by branding, packaging, weight so that they are not homogenous.

(iii) Any firm can enter with a variety, or exit if it is not making profits

(iv) There is a large number of buyers with their own preferences

(v) Different prices rule the market i.e. each firm is a price maker controlling a portion of the market

(vi) It faces a downward- sloping demand curve.

(b)i. A firm is a price taker if its output is only a small fraction of the total output of the industry and thereby exerts no significant control over the price of the product in the market i.e. if it is a perfect competitor. OR The price is determined by the forces of demand and supply.

ii. A firm is a price maker if it controls the entire output or a major part of the output of the industry i.e. if it is a monopolist or a monopolistic competitor. Such a firm has considerable control over the price of the product in the market.

(c)i. Acts of parliament - This is power conferred by law on a firm to be the sole producer or supplier of a particular commodity

ii. Copyright - This is a legal right granted to the producer or seller of a book, play, film or song to be the sole seller for a specific period of time.

iii. Natural monopoly- A situation which makes a firm (because such a firm owns a unique raw material, technology of some other factor), supply a market's entire demand for a good or service, at a price lower than two or more firms can e.g. the utility firms

iv. Cartel - A cartel is an agreement between two or more producers of the same commodity to regulate the production and sale of the product with a view to obtain dominance in the market e.g OPEC.

Correct Answer: B. bacteria

Correct Answer: A. 340 ms\(^{-1}\)

Explanation

speed of the sound wave = \(\frac{distance * 2}{time}\)

= \(\frac{408 * 2}{2.4}\)

: speed of the sound wave = 340 ms\(^{-1}\)

Correct Answer: C. Murtala/Obasanjo's regime

Explanation

(a)

(b)

(c) (i) From the graph, the roots of the equation 2x\(^2\) - 7x = 26 can be obtained by drawing a line through y = 17 to meet the curve 2x\(^2\) - 7x - 9.

The roots of the equation 2x\(^2\) - 7x = 26 : -2.2 and 5.8.

(ii) The coordinates of the minimum point of y : 1.8, -15.

(iii) The range of values for which 2x\(^{2}\) - 7x < 9 : - 0.9 < x < 4.5.

Correct Answer: B. Engine oil

Explanation

The engine oil of a tractor requires daily checking. Therefore, choice B is correct

Correct Answer: C) Even though Hanoi (population 7,781,631) is larger than Ulaanbaatar (population 907,802), Ulaanbaatar accounts for more of its country

Explanation

The choice that most effectively uses information from the given sentences to emphasize the relative sizes of the two capitals' populations is: C) Even though Hanoi (population 7,781,631) is larger than Ulaanbaatar (population 907,802), Ulaanbaatar accounts for more of its country's population. This choice highlights the contrasting population sizes of the two capitals, with Hanoi being larger than Ulaanbaatar. However, it also emphasizes that despite its smaller population, Ulaanbaatar accounts for a higher percentage of Mongolia's population compared to the percentage of Vietnam's population accounted for by Hanoi. This effectively demonstrates the relative significance of Ulaanbaatar within Mongolia.