Management is described as

• A. getting things done through people
• B. implementing of business decision
• C. the numbers of levels in an organization
• D. the people in authority in an organization

One bag contain 3 blue and 5 red balls, another bag contain 2 blue and 4 red balls respectively. One ball is drawn for each bag. What is the probability both balls are blue

• A. 2/15
• B. 3/24
• C. 3/21
• D. 3/28

__________ is the economic control and exploitation of foreign lands arising from necessity to reverse the impediment to the accumulation of capital.

• A. Imperialism
• B. Capitalism
• C. Socialism
• D. Industrialization

The atomic numbers of two elements X and Y are 12 and 9 respectively. The bond in the compound formed between the atoms of these two elements is

• A) ionic
• B) covalent
• C) neutral
• D) co-ordinate

(a) Solve : \(2^{3y + 2} - 7(2^{2y + 2}) - 31(2^{y}) - 8 = 0, y \in R\).

(b) Find \(\int (\sqrt{x^{2} + 1}) xdx\).

(a)(i) Draw and label a diagram to illustrate the preparation and collection of dry chlorine gas in the laboratory.

(ii) List two uses of chlorine.

(b)(i) Explain why river water flowing through an industrial town may be unsafe for drinking.

(ii) State the use of each of the following substances in water treatment: I. Sand, II. Chlorine, III. Calcium oxide, IV. Alum

(c)Consider the reaction represented by the following equation:

2Na\(_2\)CI\(_{(s)}\) + H\(_2\)SO\(_{4(aq)}\) \(\to\) Na\(_2\)SO\(_{4(aq)}\) + 2HCI\(_{(g)}\)

Calculate the volume of HCI gas that can be obtained at s.t.p. from 5.85 g of sodium chloride. [H = 1, Na = 23, CI = 35.5, Molar volume a 22.4 dm\(^3\) at s.t.p]

(d) Give one example in each case of a (i) metal that is a liquid at room temperature. (ii) non-metal that is a iiquid at room temperature, (iii) gas at room temperature that is monatomic.

(e) State two differences between metals and nom metals with respect to their: (i) physical properties; (ii) chemical properties.

50 men can build a house in 60 days. How many more men of equal strength and ability must be put on so as to finish a similar house in 40 days?

• A. 20 men
• B. 30 men
• C. 35 men
• D. 25 men

Given: i. Shoemaker ii. Policeman iii. Fisherman iv. Gardener v.Broker The persons engaged in primary occupation are?

• A. i,iii and iv
• B. iii and iv
• C. iii and v
• D. i, ii and v

(a) In a tabular form, name one fungal disease, one viral disease and one pest of any four of the following crops: (i) citrus; (ii) banana; (iii) tomato; (iv) yam; (v) groundnut. (b) State six general control measures of diseases of crops.

A sound of frequency 512 Hz reaches a listener 100 m away. If the sound travels in air at s.t.p., what is its wavelength?

[speed of sound in air = 331 m/s]

• A. 1.550m
• B. 0,646m
• C. 5.120m
• D. 0.195m