A binary operation * is defined on the set of real numbers, R, by \(x * y= x + y - xy\). If the identity element under the operation * is 0, find the inverse of \(x \in R\).< p>

• A.\(\frac{-x}{1 - x}, x \neq 1\)
• B.\(\frac{1}{1 - x}, x \neq 1\)
• C.\(\frac{-1}{1 - x}, x \neq 1\)
• D.\(\frac{x}{1 - x}, x \neq 1\)

The table gives the distribution of marks obtained by a number of pupils in a class test. Using this information, Find the median of the distribution

• A. 4
• B. 3
• C. 1
• D. 2

Paul's missionary activities took him to the following places except

• A. Cyprus
• B. Iconium
• C. Jerusalem
• D. Lystra

What is the function of nitrosomonas bacteria in the nitrogen cycle?

• A. Ammonification
• B. Nitrification
• C. Denitrification
• D. Nitrogen fixation

Palm wine turns sour with time because

• A) the sugar content is converted into alcohol
• B) the CO₂ formed during the fermentation process has a sour taste
• C) it is commonly adulterated by the tappers and sellers
• D) microbiological activity results in the production of organic acids within it

Use this information below to answer this question

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Capital: Opening balance 307,000

Closing balance 342,000

Net profit for the period 121,600

Purchases 706,000

Carriage inwards 17,500

Cost of goods sold 740,700

Total selling, general and

administration expenses 526,000

Discount received 9,650

Opening stock 98,800

Calculate the closing stock for the period.

• A. #69,300
• B. #81,600
• C. #81,300
• D. #106,400

Market gardening refers to the growing of vegetables

• A. near a swampy area
• B. in a small village
• C. in a highland area
• D. around large towns

The total land area of a country available for farming depends on the

• A. level of literacy of farmers
• B. climate of the area
• C. sex distribution of the population
• D. number of houses and other structures

The circuit above consists of an a. c. voltage input, a diode, a resistor and a voltmeter.

(a) Identify the circuit.

(b) Draw the waveform for the output voltage.

Evaluate \(\lim \limits_{x \to 1} \frac{1 - x}{x^{2} - 3x + 2}\)

• A. 1
• B. \(\frac{1}{2}\)
• C. 0
• D. -1