MBA816 Past Questions July 2018 (NOUN)

NATIONAL OPEN UNIVERSITY OF NIGERIA

Plot 91, Cadastral Zone, Nnamdi Azikiwe Express Way, Jabi – Abuja

FACULTY OF MANAGEMENT SCIENCES

DEPARTMENT OF ADMINISTRATION

 2018-1 EXAMINATION

COURSE CODE:     MBA 816                                                       

COURSE TITLE:     Quantitative Methods for Management

CREDIT UNITS:     3         

INSTRUCTION:      1. Indicate your Matriculation Number clearly

2. Attempt question one (1) and any other three (3) questions – four questions in all
3. Question one (1) is compulsory and carries 25 marks, while the other questions carry 15 marks each.
4. Present all your points in coherent and orderly manner

TIME ALLOWED: 3 Hrs.

 

 QUESTION

       1a               Multiply the following irrational numbers in

1. a) 12 x    3   x
2. b) x 5       x  4                                                             6 marks
3. c) √45 x √50

1b.           Example the followings with examples

1. proper fraction
2. Improper fraction

• Mixed fraction 3marks

1c)       i) Solve the mixed numbers below 4½ x 2/7   x 1 5/33                                                2marks

 

1. ii) Solve the following fractions

iia)  3/8 (y + 7) + 2/5(2y – 3)                                               2marks

iib)     ¼( 2x-5) +  5/12 (x-2)                                                               2marks

1di)      Solve the following fractions

1. 1/8 (4x – 5) – 7/12 (3x – 5) = 2/9                                                 4marks

ii          y³ x y⁴                                                                                                                  2marks

1dii)                              4⁵ x 4³                                                                                                                 2marks

1e)       A cyclist made a journey of 180km in a total time of 4 1/4 hours. He went part of the way at an average speed of 50km/h and for the rest of the journey the cyclist averaged 36km/h. How many kilometres did the cyclist cover at 40km/h and 48km/h.                                                                                                                                      5marks

 

QUESTION

 

2a Simplify the followings

1. Solve 3 √(– 8y¹²n³)
2. Simplify 6√y¹⁸

• Simplify 4 x²y + 2x y² – 4 x²y² = 0

2xy

1. Simplify 16¾ 8marks

 

 

2bi.      Explain the term ratio and illustrate it with examples                                    2marks

 

bii.       Okewa bread wants to reduce the time taken for baking of 5 hours in the ratio of 4:6.                What is the decreased time for baking?                                                     3marks

 

2biii     In a market, 2¼ kg. of coffee cost N1.75. What quantity of coffee can be bought for N1.55 in the market?                                                                                                 3marks

2biv     A man takes 15 minutes for a journey if he travels at 20km. per hour. How long will    the journey take if he travels at 50km. per hour?                                           4marks

 

 

QUESTION

3ai.  Dadogo Nig Ltd water wants to increase its water rate of 80k in the ratio8:5. Determine the new water rate.                                                        3marks

3aii.   Find which ratio is greater 7:13 or 8:15                         3marks

3bi.   If y varies directly as the square root of x and y = 18 when x = 4. Find y when x = 16.                                                                             3marks

3bii.   The electrical resistance of a wire varies inversely as the square of its radius. Given that the resistance is 0.4 ohms when the radius is 0.3cm, find the resistance when radius is 0.45cm.                                   3marks

3ci.    Solve  for x in the equation 9x  +  5   +  3x  =  26 – 6x  –  3   5marks

3cii.   7-5x   =  -9  +  4                                                                      2marks

3ciii.  5x – 12x      =    25x                                                                4marks

x                    x-5

 

QUESTION

4ai. Taiwo and Kehinde are to share N60 such that Kehinde has N12 less than Emma. Find the share of each person.                                                                    3marks

4aii.   The demand for bread in market x and y is given as follows.

2x – 4y = 24 ……..(1)

x – 2y = 8 …….(2)

Determine the value of x and y by substitution.                                 5marks

4b.   In a market survey within Jos, it was discovered that within Ahmadu Bello Way, 8 exercise books and 14 biros cost N150. However at Rayfield, 10 exercise books and 12 biros cost N144. Determine the price of a biro and an exercise book.                                                                                                                 6marks

4c. Solve the following quadratic equation:

1. 8x² +  6x  = 9
2. (x + 3)  (x  –  5)  =0                                                       6marks

QUESTION

5a. Find which term is 383 from the following series, 5 + 8+ 11 + … n.   5marks

5b.   Find the sum of the first 28 terms of an arithmetic progression whose series is given as 3 + 10 + 17 + … n                                                             5marks

5c.   Explain various steps in a statistical inquiry.                                     5marks

5d. Explain various problems in data collection.                                        5marks

QUESTION

6a. 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.                     5marks

 

6b.     Peace House has the following 6 years projection for those that will attend its annual teachers’ conference. Present the data in a bar chart.

Year     Attendance                           Year      Attendance

1981       500                                     1984           1200

1982     1400                                        1985          1500

1983      1000                                        1986          1300

 

6c.     The net weights of the contents of 5 coke bottles selected are: 75.4, 64.9, 80.3, 90.4, and 85.0 from the production. What is the arithmetic mean weight of the sample observation?                                                   5marks

6d.     What are the Properties of the Arithmetic Mean?                             5marks

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