B.Com In Banking & Insurance (BCBI) Sem II 2017 18 April 2017-18 OUANTITIVE METHODS II Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q2 All questions are compulsory subject to internal choice
2. Q3 For questions 2 , attempt either A and B or C and D
3. Q4 Figures to the right indicate full marks A_ Fillin the blanks choosing the correct alternatives (any seven) 7 we reject Ho when Ho is actually false, then we are committing
   • (c) right (d) both 2 linear function z which is to be minimized or maximized in a LPP is If the determinant of a square matrix is zero then the matrix is called
   • (c) unit (d) zero 4 inverse ratio of 4:5 is
   • (c)5.4 (d) none of these 5 If : 5:8 then x is equal to
4. Q6 15% of 475 is 7 Infrastructure facilities consist of
   • (a) Railways (b) inflation 8 A matrix is said to be zero matrix if all the elements of the matrix are
   • (a)ones (b) zeros
   • (c) two (d) three 9 method the intersecting element of key row and key column is known.as element
   • (c) initial (d) none of these 10 The difference between all receipts(revenue and capital) and all expenditures (revenue and capital) is called the
   • Q.P. Code : 32427 State whether the following statements are True or False (any eight) 8 1 The hypothesis rejecting the null hypothesis is called wrong hypothesis 2 programming forms the basic foundation for an important branch of Mathematics and Statistics called Operational Research A matrix of order is called a column matrix 4 proportion to 6,10,21 is 35 Percentage of fraction 3 4 is 25% 6 Constraints are the restrictions on the use of limited resources Railways, roadways , hospitals are not included in infrastructure 8 GDP growth rate is one of the most important economic indicators of a Test of statistic is used to decide whether to accept or reject Ho
5. Q2 a_ Solve the LPP graphically b an editor of a publishing company claims that the mean time to 8 write a text book is 15 months. A sample of 16 textbook authors is randomly selected and it is found that the mean time taken by them was 12.5. Assume the standard deviation as 3.6 and using 5% level of significance would you conclude the editor’s claim is true? c Solve the following using simplex method 10 A manufacturer produces two types of steel trunks. He has two machines 5 7 marks
   • B. the first type of trunk requires 5 hours on machine A and 3 hours in machine B. The second type requires 3 hours on machine A and 2 hours on machine B. Machine A and B can work at most for 24 hours and 15 hours per day respectively. He earns a profit of Rs.30 and Rs.25 per trunk on the first type and second type respectively. Formulate the LPP to make the maximum profit business. At the end of the year B received Rs.3000 as his share in the profit. Find the total profit. Also find A’s and C’s share of profit Find the inverse of the matrix 8
   • Q.P. Code : 32427 c Food I contains 3 units of vitamin A and 1 unit of vitamin B. Food I 10 contains 2 units of vitamin a and 3 units of vitamin B. If the daily requirement of vitamin A and B are 12 and 11 respectively. Translate the problem into a system of equations. Solve the system of equations by matrix method and hence find the amount of Food I and II that will satisfy the daily requirements d loss was incurred by selling an article at Rs.11648. Find the selling price if the article was sold at 6% loss
6. Q4 a_ An investment expert has studied past data and constructed the following table of five possible states of economy with corresponding probabilities and the return of two shares A and B under these states of economy. Find and compare the expected return of both the shares the following information calculate Beta of a securit 8 X and Y are in portfolio in the proportions 80% and 20% 10 7 marks
   • (1) Expected return from share X
   • (2) Expected return from share Y
   • (3) Total risk of share X
   • (4) Total risk of share Y
   • (5) Covariance of return from share X and Y
   • (6) Expected return of the portfolio P
   • (7) Total risk of portfolio P
   • Q.P. Code : 32427 the formula for the total risk in terms of systematic and unsystematic risk. Find systematic risk if unsystematic risk is 11.85 and the total risk is Explain briefly electricity generation in infrastructure big city 325 men out of 600 men were found to. be smokers. Does this 8 information support the conclusion that the majority of men in this city are smokers? Use 5% level of significance Attempt any three questions 15 c Explain in short the different measures of money supply, giving their duality in linear programming with an example e Explain any 3 different types of matrices with example f | What are Type I and Type errors? Explain briefly Explain trade balance, capital account balance

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