UPSC Mains MANAGEMENT-PAPER-II 2016

A and B decide to meet between 3 p.m. and 4 p.m., but each of them should wait no longer than 10 minutes for the other. Determine the probability that they meet.

The probabilities of X, Y and Z becoming managers are 4/9, 2/9 and 1/9 respectively. The probabilities that Bonus Scheme will be introduced if X, Y and Z become managers are 3/10, 2/5 and 1/2 respectively. What is the probability that Bonus Scheme will be introduced ? And if Bonus Scheme has been introduced, what is the probability that the manager appointed was Y?

The two regression lines obtained from a certain data were Y = X + 5 and 16X = 9Y – 94. Find the variance of X, if the variance of Y is 16. Also find the covariance between X and Y.

A multiple-choice quiz has 200 questions, each with four possible answers, of which only one is the correct answer. What is the probability that sheer guesswork yields from 25 to 30 correct answers for 80 of the 200 questions about which the student has no knowledge?

A company manufactures two kinds of machines, each requiring different manufacturing techniques. The deluxe machine requires 18 hours of labour, 8 hours of testing and yields a profit of ₹ 450. The standard machine requires 3 hours of labour, 4 hours of testing and yields a profit of ₹ 250. There are 800 hours of labour and 600 hours of testing available each month. A marketing forecast has shown that the monthly demand for the standard machine is to be more than 150. Management wants to know the number of each model to be produced monthly that will maximize total profit. Formulate and solve this as a LPP.

What is MIS planning? Discuss with an example how it is linked with general business planning.

Discuss the merits and demerits of online payment systems and the legal and ethical issues of online business.

What is meant by cost of quality? Describe its components.

A toy company is interested in balancing a production line that will manufacture an electronic football game to compete with the similar successful model of its rival. Tasks, task times and precedence requirements are given in the table below :

Construct a sequence diagram.

To balance the line with a 60 second cycle time, what is the theoretical minimum number of work stations required? A 7 hour day is worked.

Balance the line taking 60 second cycle time.

What is the efficiency of the line?

A department store had forecast the sales of ₹ 1,10,000 for last week. The actual sales turned out to be ₹ 1,25,000. Given a = 0.1, what is the forecast for this week? If sales this week turn out to be ₹ 1,20,000, what is the forecast for the next week?

Explain Waterfall approach to system development life cycle (SDLC). Discuss its strengths and weaknesses.

A vote is to be taken among the residents of a town and the surrounding area to determine whether a proposed chemical plant should be constructed or not. The construction site is within the town limits and for this reason many voters of the surrounding area feel that the proposal will pass because of the large proportion of town voters who favour the construction. To determine if there is a significant difference in the proportion of town voters and surrounding area voters favouring the proposal, a poll is taken. If 120 of the 200 town voters favour the proposal and 240 of 500 surrounding area voters favour the proposal, would you agree that the proportion of town voters favouring the proposal is higher than that of the surrounding area voters ? Use a 5% level of significance.

Out of 200 boys, 75 are intelligent of which 40 have skilled fathers, while 85 of the unintelligent boys have unskilled fathers. Do these figures support the hypothesis that skilled fathers have intelligent boys?

The daily demand for a component assembly item is normally distributed with a mean of 120 and standard deviation of 15. Furthermore, the source of supply is reliable and maintains a constant lead time of 4 days. If the cost of placing the order is ₹45 and the annual carrying cost is ₹ 0.75/unit, find out the economic order quantity and the reorder point to provide a 95% service level. The firm operates 5 days/week, 52 weeks/year.

Ranbaxy Ltd. is deciding to invest ₹10 crore in research for development of medicines to cure HIV/AIDS. Can you term it as a "project"? Justify.

A firm is planning to develop and market a new drug. The cost of extensive research to develop the drug has been estimated at ₹ 1,00,000. The manager of the research program has found that there is a 60% chance that the drug will be developed successfully. The market potential has been assessed as follows :

Discuss the use of M-commerce to achieve competitive advantage for an organisation in the context of web-based marketing. Also discuss the limitations of E-commerce.

For a machine, the following data are available :

Determine the optimum period for replacement of the above machine.

If a random variable x follows a Poisson distribution such that Prob (x = 1) = Prob (x = 2), find the mean and variance. Also find Prob (x = 0).

What is meant by Database Normalization ? Describe 1NF, 2NF and 3NF.

Discuss some of the important pre-requisites for successful e-governance. Explain how can e-government improve citizen participation in public affairs.

What is statistical process control ? How is it different from acceptance sampling? When is a process said to be out of control ? How can control-charts be of use in identifying out of control process? Explain.

What is the role of a 'Firewall'? Discuss the relative merits of developing firewalls in-house or buying a commercial firewall software?