NATIONAL OPEN UNIVERSITY OF NIGERIA
PLOT 91, CADASTRAL ZONE, NNAMDI AZIKIWE EXPRESS WAY, JABI – ABUJA
FACULTY OF MANAGEMENT SCIENCES
NOVEMBER 2018 EXAMINATION
COURSE CODE: MBA816 CREDIT UNIT: 3
COURSE TITLE: QUANTITATIVE METHODS FOR MANAGEMENT
INSTRUCTION: 1. Indicate your Matriculation Number clearly
- Attempt question one (1) and any other three (3) questions; four questions in all
- Question one (1) is compulsory and carries 25 marks, while the other questions carry 15 marks each.
- Present all your points in a coherent and orderly Manner
TIME ALLOWED: 2 Hours
1ai. Evaluate the following
(a) – 20 – (- 24)
- b) 12 – (- 12)
- c) – 13 – 16
- d) (+ 15) ÷ (-3)
- d) (+ 15) ÷ (+ 3) 4marks
1aii. Write explanatory notes on the followings
- a) Natural number
- b) Whole number 4marks
1aiii. 1. 3/8(y + 7) + 5/6(2y – 3)
- 7/10 – 2/15
- 4/6 Χ 8/10
- 14/10 Χ 6/7 Χ 8/9 4marks
1b. A cyclist made a journey of 152km in a total time of 31/2hours. He went part of the way at an average speed of 40km/h and for the rest of the journey the cyclist averaged 48km/h. How many kilometers did the cyclist cover at 40km/h and 48km/h.
1c. i.Simplify 10 x2y + 6x y2– 8x2y2 = 0
2xy
- Simplify 16¾
iii. 12x4y3z2 by – 4x3y 4marks
- Divide the exponent 64 by 62
1di. UmenemiNig Ltd water wants to increase its water rate of 80k in the ratio 8:5. Determine the new water rate. 3marks
1dii. In what ratio should N75 be increased to become N100? 3marks
1ei. If 5 people dig the foundation of a house in 14 days, how long would 7 people take to dig the foundation? 3marks
1eii. Express the ratio 8:13 in the form 1: n 3marks
2ai. If y varies directly as the square root of x and y = 12 when x = 4. Find y when x = 9. 2marks
2aii. If v values directly as the square of x and inversely as y and if v = 18 when x = 3 and y = 4. Find v when x = 5 and y = 2 2marks
2aiii. Find the value of y from the following 30x + 10 + 2x = 15x + x + 42 2marks
2bi. Find the value of y in the following equation. y(10 – 2) = 80 2marks
2bii. . Solve the equation 6x + 14 = 14x 3marks
X x–8
2biii. Kufe drove for 3 hours at certain speed and then doubled that speed for the next 2 hours. If Kufe drove the car covering 63kms altogether, find the speed for the first 3 hours. 2marks
2c. The demand for bread in market x and y is given as follows.
3x – 4y = 19 ……..(1)
x – 2y = 5 …….(2)
Determine the value of x and y by substitution. 2marks
3a Solve the simultaneous equation by elimination using subtraction.
2x + 5y = 28 – – – (1)
2x + 3y = 3 – – – (2) 5marks
3b. In a market survey within Jos, it was discovered that within AhmaduBello Way, 6 exercise books and 12 biros cost N144. However at Rayfield, 8 exercise books and 10 biros cost N132. Determine the price of a biro and an exercise book. 5marks
3c. 6 years ago Edeh was 3 times as old as Ebo. Their combined age is 24. Determine the age of Edeh and Ebo. 5marks
4ai. Solve the following quadratic equation (x + 3) (x – 5) = 20 3marks
4aii. Solve the equation by completing the square y2– 8y + 3 = 0. 3marks
4bi. Find the sum of the first 28 terms of an arithmetic progression whose series is given as 3 + 10 + 17 + … n 3marks
4bii. If the third term of a geometric progression is 20 and the seventh term is
320, what is the first term and the common ratio? 4marks
4c. Explain inductive and deductive statistics. 2marks
5a. Outline the steps in a statistical inquiry. 3marks
5bi. Outline the various fields in whichstatistics and statistical information can be employed. 3marks
5bii. A pure water company awarded contracts to various contractors
for constructing a factory house as follows.
Carpenter 25,000
Bricklayer 20,000
Painter 5,000
Decorator 10,000
Total 60,000
Represent the above information on a pie chart. 3marks
5biii. Sam and Sam Ltd. have the following sales of 3 products in the market.
Present the information on a component bar chart 3marks
| 1997 (sales) | 1998 (sales) | 1999 (sales) | |
| Product A | N1000
| N1200
| N1700
|
| Product B | N900
| N1000
| N1000
|
| Product C | N500
| N600 | N700
|
| Total | N2400
| N2800 | N3400 |
5c. Explain the basic techniques used in statistical sampling 3marks
6ai. What are theProperties of the Arithmetic Mean? 3marks
6aii. Using the information below, calculate the mean and median of group data
| X | f |
| 5-10 | 2 |
| 11-16 | 3 |
| 17-22 | 6 |
| 23-28 | 3 |
| 29-24 | 1 |
| Total | 15 |
3marks
6b. The ages of all patients in ward A in Abuja clinic are 38, 26, 13, 41, 22 years. What is the population variance and standard deviation? 3marks
6c. The following are the performances of some contractors of some projects completion:
Contractor X’s performance: 82%, 57%, 74%, 40%, 52%, 51%.
Contractor Y’s performance: 71%, 34%, 50%, 81%, 62%, 54%.
Calculate the rank correlation. 3marks
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