B.Com In Investment Management SEM I 2017 2018 Nov 2018 QUANTITATIVE TECH Question Paper - Mumbai University | munotes

Questions asked in this paper

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• 2. Figures to the right indicate marks of sub-questions

1. Q3 Use of simple calculator is allowed
2. Q1 A) Fill in the blanks by choosing appropriate option. (any eight) 8 marks
3. Q1 Supply function gives the relation between supply and
   • a) Price
   • b) Demand
   • c) Cost
   • d) None of these
4. Q2 If the highest value ina group of observation is 90.and the lowest value is 50 then range is
5. Q3 Median of.7, 8, 3, 4,
   • d) None.of these
6. Q4 f(x) = 6 + 3x is ------------ function
   • a) Linear
   • b) Constant
   • c) Logarithmic
   • d) None of these
7. Q5 years Rs. 8,000 will amount to Rs. 8,840 at 3.5 % p.a. simple interest None of these
   • Q.P. Code :19966
8. Q6 in which the number of payments is fixed, is called
   • a) Annuity certain
   • b) Fixed annuity
   • c) Limited annuity
   • d) Immediate annuity
9. Q7 At maxima, the second order derivative is
   • a) Less than zero
   • b) Greater than zero
   • c) Zero
   • d) None of these
10. Q8 Ify = (x? —4x 4+ 3) then is
    • d) None of these
11. Q9 Ifthe nominal rate of interest is 9% per annum compounded quarterly, then the effective rate of interest per annum is ------------ the nominal rate of interest
    • a) Equal-to
    • b) Less than
    • c) Greater than
    • d) The 4" root of
12. Q10 For two regression linesx and 2x +3y = 8, the mean value of x & y is None of these whether true or false (any seven) 07 If elasticity is between zero and one, the demand is inelastic
13. Q2 The coefficient of correlation ‘r’ always lies between -1 and +1
14. Q3 name for quartile deviation is semi-inter quartile range
15. Q4 Anannuity is a sequence of payments made at successive time periods
16. Q5 The present value is always more than future value measure calculated for all units in the sample is called parameter
17. Q9 stands for Equated Monthly Installments
18. Q10 If f(x) =e* + 10x then f(0) = 11 marks
    • Q.P. Code :19966
19. Q2 a) Find the standard deviation for the following data: 8 marks
    • b) Find the correlation coefficient for the following data. 07
    • p) Find the regression of X and Y for the following data. 08
    • q) Find the rank correlation coefficient for the following data. 07
    • a) Find the derivative of y w.r.t-x. 08
    • b) Find the mode for the following data. 07 If the total cost (C) and total revenue (R) of a company are given by C = 20+ 4x andR = 30x — x?, 08 where x is output, find the output at which the profit is maximum. What is the maximum profit?
    • q) Find the median for the following data. 07
20. Q4 purchased for Rs. 5,000 cash down and Rs. 10,000 at the end of each month, for 4 months. Find the cash price of the TV if the payments include interest payments at 12% p.a compounded 8 marks
    • b) Find the maturity amount of a two year fixed deposit of Rs. 2,00,000 at 5% p.a. if the interest is Find the EMI using reducing balance method if a loan of Rs. 60,000 is to be returned is 3 equal monthly installment, the rate of interest being 12% p.a
    • Q.P. Code :19966
    • q) The total revenue and the total cost of producing and selling x units of acommodity are R =270x and C= 3, 00,000 + 70x. Find the break — even point. 07
21. Q5 a) Discuss the functions of statistics. 8 marks
    • b) Define correlation and types of correlation. 07 Write short notes on any three of the following. 15
22. Q1 Merits and demerits of mode
23. Q2 Scatter diagram
24. Q3 Define annuity and its types
25. Q4 Methods of collecting primary data
26. Q5 Merits and demerits of standard deviation

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