Hps2205:Quantitative Methods Question Paper
Hps2205:Quantitative Methods
Course:Bachelor Of Commerce
Institution: Meru University Of Science And Technology question papers
Exam Year:2011
QUESTION ONE – (30 MARKS)
(a) Define the term statistics. (2 Marks) (b) Solve by the method indicated against each (i) 2?? = 1 - 8??2 completing squares. (4 Marks) (ii) 3??2 + 4?? + 2 = 0 quadratic formula (4 Marks) (c) Define a set. (2 Marks) (d) Let ?? = 1,2,3,….10 consider the set ?? = 2,4,6,8,10 ?? = 0,1,2,….11 and ?? = (5). Find (i) ?? n ?? (3 Marks) (ii) ?? ? ?? (3 Marks) (e) Solve by elimination method the system 2?? + ?? - 2 = 2 ?? + 3?? + 2?? = 1 ?? + ?? + ?? = 2 (5 Marks) (f) Given the following data set 11,22,10,13,17,11,15,9,19 Determine the: (i) Arithmetic mean (2 Marks) (ii) Mode (1 Mark) (iii) Median (2 Marks) (iv) Geometric mean (2 Marks)
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QUESTION TWO – (20 MARKS) (a) Explain the concept (i) Business appraisal (ii) Why is it important to carry out a business appraisal. (7 Marks) (b) The mail daily newspaper in Nyeka; The National, The New Era and the Citizen The management of dailies is concerned about the low sales volume of their paper in recent survey of 200 families in Nyeka the numbers that read the various news-papers were found as follows; News paper Number of readers The citizen 56 Citizen and New Era 16 The New Era 60 Citizen and National 20 New Era and National 10 National 84 All the three newspapers 6
(i) Represent the information in a venn diagram. (5 Marks) (ii) Determine the no. of families who did not read any of the three news papers. (4 Marks) (iii) Murembo beauty advertising firms wants to know which new paper they should advertise in so that they can reach the largest audience. Advise this firm. (4 Marks) QUESTION THREE – (20 MARKS)
(a) Distinguish between each of the following (i) Primary and secondary data. (2 Marks) (ii) Census and sampling (2 Marks) (iii) Discrete and continuous values. (2 Marks) (b) The following is the distribution of weights of 140 students in a class
Weight (pounds) Frequency 80 – 89 4 90 – 99 23 100 – 109 49 110 – 119 38 120 – 129 17 130 – 139 6 140 - 149 3
(i) Calculate the mean, variance and standard deviation. (11 Marks)
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(ii) Present the data using Histogram. (3 Marks)
QUESTION FOUR – (20 MARKS)
(a) State two reason why people prefer a shilling today rather than in future. (2 Marks) (b) The Beta Co. Ltd is considering the purchase of a new machine. Two alternative machines A and B have been suggested each costing Sh.400,000. Earnings after taxation are expected to be as follows Cash flows Year Machine X Machine B 1 40,000 120,000 2 120,000 160,000 3 160,000 200,000 4 240,000 120,000 5 160,000 80,000 The company has a target of return on capital of 10%. (i) Compute the Net present value (NPV) and the profitability index of each machine. (ii) State which machine you consider financially preferable. (12 Marks) (c) A basket contain 3 red, 4 white and 7 yellow beads. Three beads are taken at random without replacement. Calculate the probability of getting. (i) Three beads of the same colour. (2 Marks) (ii) At least two white beads. (2 Marks) (iii) A read bead followed by a yellow bead. (2 Marks)
QUESTION FIVE – (20 MARKS)
(a) A woman saves 20 dollars per month from age 22 to 65. If her savings earn interest at a rate of 6.5% p.a compounded monthly. How much does she have at retirement? (5 Marks) (b) Population in a 3rd world company is growing continuously at a rate of 3%. If the population stands at 4.5million, what will it be in 15 years time? (5 Marks) (c) Find the future value and the amount of interest earned by a deposit of 900Sh. For 8 years compounded semi-annually. (5 Marks) (d) Joan must pay a lump sum of Ksh.6000 in 8 years. What lump sum deposited today at 4% compounded annually will amount to Ksh6000 in 8 years. (5 Marks)
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