B.Com In Banking & Insurance (BCBI) Sem II 2018 19 Oct 2018-19 QUQNTITATIVE METHODS Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q2 Figures to right indicate full marks
2. Q3 For questions 2 to 5, attempt either A and B or Cand D
3. Q4 Use of simple calculator allowed
4. Q1 A) Fill in the blank (any 8 ) 1.The simplex method reaches the optimal solution for maximization problem when c; — z; are zero or positive b) All — zjare zero or negative 8 marks
   • c) some — positive d) none of these
5. Q2 If the rows and the column of a matrix are interchanged with each other we get
   • a) A row transformation of matrix b) A column transformation of matrix
   • c) Inverse of matrix d) transpose of matrix
6. Q3 The inverse ratio of 2:3 is
   • a)3:2 (b) 1:6 (c)6:1 (d) none of these
7. Q4 The systematic risk is the risk to the market
   • a) Related to independent to c) double none of these
8. Q5 If the critical region is located on both the sides of sampling distribution of test statistic
   • a) d)right tail
9. Q6 A matrices having n rows and 1 columns is called a:b= 2:3. and b:c = 2:3 the a:b:c is equal to
10. Q8 Electricity part of energy which in turn is a part of of a nation
    • a) Level (b) infrastructure (c) inflation (d) none of these
11. Q9 The variables x1, X2,.Xn in LPP are
    • a) GNP- Depreciation b) NNP-Depreciation c)GDP- Depreciation None of these
    • Q.P. Code: 32428
    • B )State whether the statement is True or false (any 7) 7
12. Q1 Determinant of a rectangular matrix can be found
    • ii) GDP is the most important indicator for the growth of the country
    • iii) The Linear function Z which is to be maximized or minimised is called objective
    • iv) In the process of testing, a statistician starts with a hypothesis called alternate
    • v) Matrix multiplication is commutative
    • vi)A is matrices of order 2X 3 then order of tranpose of A is also 2x 3
    • vii) If beta coefficient is more than one, security is less volatile as compared to market A variable added to make inequality of less than type equal is called slack variable
    • ix)Returns mean profit earned on capital invested in the business
    • x) The difference between total revenue and total expenditure is called GDP
13. Q2 A) A random sample of size 40 was drawn and the sample mean was found to be 339 Test whether this sample has come from a normal population with mean 342 and standard deviation 11.2 at 5% level of significance (07)
    • B) Min Z=20 x, + 8
    • C) Solve the following using simplex method Subject to Constraints 10
    • Q.P. Code: 32428
    • D)A manufacture makes Rs 600 profit on stereo system and Rs 400 profit on small tape recorder. A stereo requires 1 hour on machine A and hour on machine B and 4 machine C. A tape recorder requires 2 hours on A hour on B.and | hour on C. Ina given day, machine A, B and C working a maximum of 16,9 ,24 hours respectively. How many stereo system and tape recorders should be produced per day to maximize the
14. Q3 A) Solve the following systems of equation simultaneously 7 marks
    • B) i)Find A* + B where and person sold an article at 572.40 Rs and gained 6%. find cost price of article
    • C) Three shopkeeper A,B and C go to a store to buy stationary A purchases 12 dozen notebooks ,5 dozen pens and 6 dozen pencils B purchases 10 dozen notebooks ,6 dozen pens and 7 dozen pencils A purchases 11 dozen notebooks ,13 dozen pens and 8dozen pencils The cost of notebook is Rs40 , a pen is Rs 1.25 and pencil cost 35 paisa. Use matrix multiplications to calculate each individual’s bill. (08)
    • D) A, Band C enter into business. The capital of A and B are in ratio 5:3 and the capital of B and C are in ratio 2:7 the profit of 27000 earned by the business at the end
15. Q4 A) From the following table calculate expected return and risk for XLtd.and Yltd and advice whether the companies are good for investment (07)
    • Q.P. Code: 32428
    • B) From the following data calculate Beta of security and interpret Year Return on Security% | Returns on MarketPortfolio QC) From the following information, find (10) Return and variance of each security on it Return and Risk of a portfolio. with 75% proportion of security A and 25% proportion of security B and comment on it Probability Return on stock A | Return on stock B% 8
    • D)Following securities are held by an investor in his portfolio What is the correlation of these securities? Interpret. (05)
16. Q5 A) Explain in short systematic risk and unsystematic risk 8 marks
    • B) Explain The concept of the decision criterion and critical region for 7
    • C) Write short notes (any three) 15
    • i) Level of significance in testing of hypothesis Nominal GDP and real GDP
    • iv) Slack variable, surplus variable and basic feasible solution
    • v) Different measures of money supply

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