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MANAGEMENT PROGRAMME Term-End Examination MS-8 December, 2015 MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS Time : 3 hours Maximum Marks : 100 (Weightage 70%) Note : (i) Section A has six questions, each carrying 15 marks. Attempt any four questions from this Section. (ii) Section B is compulsory and carries 40 marks. Attempt both questions. (iii) Statistical tables may be supplied on request. (iv) Use of calculator is permissible.

SECTION - A 1. A person pays a total of Z 975 through monthly installments each less than the former by Z 5. The first installment is ! 100. In how many installments will the amount be paid ?

2. Calculate the harmonic mean from the following frequency distribution :

MANAGEMENT PROGRAMME Term-End Examination 1 June, 2015 MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS  SECTION - A 1. The cost accountant of a company has derived 15the following expression relating total cost C to the number of units (x) of a product. C=1440 +125x + 0.1x2Find : (a) The number of units (x) that will minimisethe average cost. (b) The value of average cost and total cost corresponding to above number of units. MS-8 1 P.T.O. 2. The residents of Lucknow city were surveyed 15 recently to determine readership of newspapers available. 55% of the residents read the morning paper, 65% read the evening paper, and 30% read both newspapers. Find the probability that a resident selected reads either the morning or evening paper or both the papers. 3. In a factory, four workers are assigned to complete 15 an order received for dispatching 2000 boxes of a particular commodity. Worker A takes10 minutes per box, B takes 15 minutes per box,C takes 20 minutes per box and D takes 25 minutes per box. Find the average time taken per box by the group of workers. 4. An auto company decided to introduce a new six 15 cylinder car whose mean petrol consumption is claimed to be lower than that of the existing autoengine. It was found that mean petrol consumption for the 100 cars was 15 km per litrewith the standard deviation of 5 km per litre.Test for the company at 5% level of significance whether the claim that the new car petrol consumption is 14.50 km per litre on the average is acceptable. The critical value of Z at 5% level of significance is 1.96. 5. Define Hypothesis. Explain various types of errors 15 in testing of Hypothesis. Describe various steps involved in the "Hypothesis Testing".

MS-8   june, 2007

MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS

1.Distinguish between decision making under certainty and decision making under uncertainty. Mention certain methods for solving decision problems under uncertainty. Discuss how these methods can be applied to solve decision problems.

2. Use Cramer's rule for a 3 x 3 system of linear equations to solve the following system :

2x - y + 3z =3

MS-8   june, 2008

MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS

2. The demand for a certain product is represented by the equation p : 20 + 5q

-q2 where q is the number of units demanded and p is the price per unit. Find marginal revenue function. What is the marginal revenue at q = 2 ?

3 From the frequency distribution, find the standard deviation using the formula fcr the grouped data :

MS-8   june, 2009

MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS

1. An analysis of the hourly wages paid to workers in two firms A and B belonging to the same industry gives the following results :

Firm A

Firm B

MS-8   june, 2010

MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS

1. A car is purchased for Rs. 300,000. If the depreciation for the first three years is at 10% per annum and for the next two years is at 20% per annum, then calculate the

depreciated value of the car at the end of five years.

2. Units A, B, C of a factory manufacture 25%, 35%, 40% respectively of the total cars.

MS-8   june, 2011

MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS

Weekly Income

(Rs.)

MS-8   Dec, 2007

MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS

1. Distinguish between decision making under certainty and decision making under uncertainty. Mention certain methods for solving decision problems under uncertainty. Discuss how these methods can be applied to solve decision problems.

2. Use Cramer's rule for a 3 x 3 system of linear equations to solve the following system :

2x - y + 3z = -3

MS-8   Dec, 2008

MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS

l. Explain Hypothesis testing. What are the steps involved in hypothesis testing ? Discuss the two types of .errors in testing of hypothesis

2. A telephone company in a town has 1000 subscribers on its list and collects a fixed charge of Rs. 400 per subscriber per year. The company proposes to increase the annual subscription and it is believed that for every increase of Re.1one subscriber will discontinue the service. Find what increase will bring maximum revenue to the company.

3. A husband and wife appear in an interview for two vacancies in the same post. The probability of husband's selection is 1/7 and that of wife's selection is l/5. What is the probability that

MS-8   Dec, 2009

MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS

1.The following data describes the age at which employees reach to the level of 'senior manager in a multinational company

Age in years

Below 34.5

MS-8   Dec, 2010

MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS

MS-8   Dec, 2011

MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS

1. What do you understand by a continuous frequency distribution ? Explain various terms that are frequently used in a frequency distribution. Also highlight the difference in inclusive and exclusive methods of classes.

2. Consider the following matrix of transition

probabilities of a product available in the market