UNIVERSITY EXAMINATIONS: 2017/2018
EXAMINATION FOR THE BACHELOR OF SCIENCE
IN INFORMATION TECHNOLOGY
BIT1110 MATHEMATICS FOR SCIENCES [DISTANCE LEARNING]
DATE: APRIL 2018 TIME: 2 HOURS
INSTRUCTIONS: Answer Question ONE and Any other TWO Questions
QUESTION ONE [30MARKS]
(a) How many terms of the A.P. 15 +13 + 11+…are required to make a total of -36? [3
Marks]
(b) What is the smallest number of terms of the geometrical progression, 3 + 6 + 12 + …,
that will give a total greater than 500,000? [3 Marks]
(c) Differentiate between a rational number and an irrational number
(j) Give two advantages and two disadvantages of interviewing as a data collection
method. [4 Marks]
QUESTION TWO [20 MARKS]
(a) Differentiate between the following terms as used in statistics.
(i) Sample and population. [2 Marks]
(ii) Primary and secondary data. [2 Marks]
(iii) Quantitative and qualitative data. [2 Marks]
(b) Briefly explain questionnaire method of data collection. [5 Marks]
(c) Give two advantages and two disadvantages of each of the following methods of data
collection
(i) Personal Observation. [3 Marks]
(ii) Interviewing method. [3 Marks]
(iii) Self-Completion Questionnaires. [3 Marks]
QUESTION THREE [20 MARKS]
QUESTION FOUR [20 MARKS]
(b) In how many ways can a committee of four men and three women be formed from
seven men and eight women? [3 Marks]
(c) The fourth term of an A.P. is 18, and the common difference is -5. Find the first term
and the sum of the first sixteen terms. [4 Marks]
(d) In how many arrangements can be made with the letters of LEATHERETTE? [3
Marks]
(e) Show that the sum of the first n terms of the arithmetic progression with first term a,
and common d, is given by the following formula.
QUESTION FIVE [20 MARKS]
(a) Given that log102 = 0.3010 and log105 = 0.6990, without using tables or logarithm
function in your calculator, find: –
