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

Questions asked in this paper

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1. Q2 Figures to right indicate full marks
2. Q3 Use of simple calculator allowed
3. Q1 A Choose the correct alternative (any 8) 8 marks
   • i. If the critical region is located in both the sides of sampling distribution of test statistic the test is
   • a) One tailed
   • b) Two tailed
   • c) Right tailed
   • d) Left tail
   • ii. Hy is true and we it is called
   • c) Standard error
   • d) Sampling error
   • iii. Transpose of a row matrices is
   • a) Zero matrices
   • b) Diagonal matrices
   • c) Columns matrices
   • d) Row matrices
   • iv. If determinant A is
   • a) Zero.matrices
   • b) Singular matrices
   • c) singular matrices
   • d) Unit matrices equivalent to 3:7 is The linear function Z whichis to be minimized or maximized in a LPP is called
   • a) variable
   • b) Objective function
   • d) Logical function
   • Q.P. Code :05940
   • vii. If a:b:c: =3:4:7 then the ration (a+b+c) : a is equal to
   • viii. | The difference between the merchandise exports and imports is called
   • a) Trade deficit
   • b) Budgetary profit
   • c) Fiscal deficit
   • d) Fiscal profit
   • ix. In graphical solution the feasible solution is any solution is any solution to a LPP which satisfy
   • c) Only constraint
   • d) Allthe three
   • x. Return is calculated as total gain divided by
   • a) Selling price
   • b) Purchase price
   • c) Discounted price
   • d) Return price B State True or False (any 7) 07 Determinant of a rectangular matrix can be found ll. NNP is depreciation Standard deviation is measure of risk
4. Q4 of linear programming is useful when the number of decision variables are three or more than three
5. Q5 If there is no non negative replacement ratio in solving a LPP then the solution is unbounded The cost of surplus variable in simplex method matrix of order 2 x 3 then order of transpose of Ais also2 X 3
6. Q7 Risk.is chance of getting less returns of an investment
7. Q9 The duplicate ratio of 5:2 to 4:10
8. Q10 Matrix multiplication is commutative
9. Q2 A. Solve the following LPP by graphical method Subject to constraints Arandom sample of size 400 was drawn and the sample mean was found to be whether this sample has come from a normal population with mean 342 and standard deviation 11.2 at 5% level of significance 8 marks
   • Q.P. Code :05940
   • p. solve the following LPP by simplex method 10 Subject to constraints
   • q. Acompany produces two products A and B. 1 unit of A requires 10 units of machine 1 units of 1 unit of product B requires 4 units of machine 1 units of machine 2. Capacities of machine 1 and machine 2 is 40 units and 48 units respectively. Profit per unit of B is Rs 10 and Rs 20 respectively
10. Q3 A. the following equation using the matrix inversion method 8 marks
    • B. Aand Bare partners in a business with the capitals and Rs20000 respectively. They admit C 97 in the business and give her 1/8* share in the total profit. How much capital should C invest? Also find the proportion in B and C will share the profit
    • p. There are two families There are 6 women and 2 family A and 2 men 10 2 women 4 children in family B. The recommended daily allowance for calories in man is 2400, women is 1700 and child is 1600 and for protein is 56 gms for man, 45 gms for women and 33gms for child. Represent the above information by matrices. Using matrix multiplication calculate the total requirement of calories and protein for each of the two families
    • q. 44% of the student of a class are girls. If the number of girls is 6 less than the number of boys, how many. students are there in the class?
11. Q4 A. portfolio has share A and B, with the following distribution The proportion of share A is and share B is 40%. Calculate 15 marks
12. Q1 Expected returns of A ll. Expected-returns of B Calculate the risk of A
13. Q4 Calculate risk of B
14. Q5 Covariance of returns from X and Y Vi. Expected return from portfolio Total risk from portfolio
    • Q.P. Code :05940
    • p. From following information calculate Beta of a security and interpret the beta coefficient 08
    • q. Find the correlation coefficient from the following information Returns of X = 12 Returns of Y 07 Variance of X=9 Variance of X Also find risk of portfolio where proportion of each security is 50%
15. Q5 A. Write short notes (any three) Duality in simplex method Il. Null and alternative hypothesis Ill. Systematic and unsystematic risk 15 marks
16. Q4 Nominal GDP.and real GDP
17. Q5 Types of matrices
    • p. What are the different methods of estimating GDP? Elaborate. 08
    • q. concept of the decision criterion and critical region for 07

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