Explanation

Having accepted the offer of a delightful room in the Mayor's house Hlestakov is ready to carry out some responsibilities as the Government Inspector. One of such is attending to the protesters who besiege the house of the Mayor to complain to Hlestakov and denounce his (Mayor's) actions.

The protesters, who belong to the business sector of the society, feel aggrieved at the way the Mayor has been oppressing them. Led by their spokesmen

Explanation

Candidates are expected to discuss the following points:

i. Tony full of tricks.

ii. Tony misleading the guests.

iii. Tony and Constance pretending to be in love.

iv. Tony contriving to retrieve Constance’s jewels from his mother’s custody.

v. Tony driving his mother round about the house.

vi. Tony the originator of mistakes.

Correct Answer: A. a cirque

Explanation

(a)(i) \(\log_{10} 45 = \log_{10} (3 \times 3 \times 5)\)

= \(\log_{10} (3^{2} \times 5)\)

= \(\log_{10} 3^{2} + \log_{10} 5\)

= \(2 \log_{10} 3 + \log_{10} 5\)

= \(2(0.477) + 0.699\)

= \(0.954 + 0.699 = 1.653\)

(ii) \(x^{0.8265} = 45\)

Taking the log of both sides,

\(\log_{10} x^{0.8265} = \log_{10} 45\)

\(0.8265 \log_{10} x = \log_{10} 45\)

\(\log_{10} x = \frac{1.653}{0.8265}\)

\(\log_{10} x = 2\)

\(x = 10^{2} = 100\)

(b) \(\sqrt{\frac{2.067}{0.0348 \times 0.538}}\)

\(\therefore \sqrt{\frac{2.067}{0.0348 \times 0.538}} = 10.95\)

Explanation

\(T_{n} = ar^{n - 1}\) (Terms of a G.P)

\(T_{3} = ar^{2} =24 .... (1)\)

\(T_{7} = ar^{6} = 4\frac{20}{27} = \frac{128}{27} .......... (2)\)

Divide (2) by (1),

\(\frac{ar^{6}}{ar^{2}} = \frac{\frac{128}{27}}{24}\)

\(r^{4} = \frac{16}{81}\)

\(r = \sqrt[4]{\frac{16}{81}}\)

= \(\frac{2}{3}\)

Putting r in equation (1),

\(ar^{2} = a(\frac{2}{3})^{2} = 24\)

\(\frac{4}{9} a = 24 \implies a = \frac{24 \times 9}{4}\)

a = 54.

(b) \(y \propto x \propto \frac{1}{z^{2}}\)

\(\implies y = \frac{kx}{z^{2}}\)

\(4 = \frac{3k}{1^{2}} \implies k = \frac{4}{3}\)

\(\therefore y = \frac{4x}{3z^{2}}\)

When x = 3, z = 2, y = ?

\(y = \frac{4(3)}{3(2^{2})}\)

= \(\frac{12}{12} = 1\).

Correct Answer: C. make a fellow Muslim happy

Explanation

There are five major pillars of ibadah namely; Declaration of faith ( shahadah), ritual prayer( salat), alms giving (zakah), fasting( sawm), pilgrimage to Mecca (hajj). But prophet (SAW) tells us that after this major pillars, that should make our fellow Muslims happy, through teaching them the word, or helping them financially, we must make our fellow Muslims happy.

Correct Answer: A. warm and cold water spring

Explanation

(a) (i) Area of farmland in hectares

Length 0.2km =200m

Breadth = 2,200m

Area of rectangle = length x breadth

Area of farmland =200m x 2,200 = 440,000m²

1 hectare = 10,000m\(^2\)

Area of farmland in hectares = \(\frac{440,000} {10,000}\)

(b) (i) Importance of balance sheet to a farm manager

- Provides information on owner's equity

- Shows the extent of liability accrued over the year/ Shows assets and liabilities of the farm

- It is an indicator of farm's liquidity

- Assists in the assessment of management performance

- Shows the financial position of the farm

- For tax purposes For budgeting and planning.

(b) Sources of agricultural loans in West Africa

-Commercial Cooperative societies

- Family members/ relatives/personal/savings

- Agricultural banks

- Non-governmental organizations (NGOS)

- National Directorate of Employment (NDE)

- Private money lenders

- Microfinance Banks

- Marketing agencies

- Friends

-Micro Credit Scheme

- Bank of Industry

(c) Reasons why the floor of a deep litter house is preferably covered with wood shavings instead of sawdust

- Sawdust is very fine and can easily be inhaled by chickens

-Inhalation of sawdust by chickens can cause respiratory problems/nasal congestion

- Sawdust harbours pathogens

- Sawdusts cakes easily

- Wood shavings absorb litter better than sawdust

Correct Answer: C. Loamy soil

Explanation

Loamy soil; this is the best soil for planting, because it contains all types of soil in the right proportion and required nutrients for growth of plant.

Correct Answer: B. N2000