B.Com In Investment Management SEM I 2017 2018 Mar 2018 INV. MGT QUANTITIVE 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. Q1 a) the blanks by choosing appropriate option. (Any Eight) 8 marks
   • 1. Ogive can be used to find
   • (a) median
   • (b) Mode (d)none of these
   • 2. The mode of 12,34,56,78,12,45 is ‘
   • (a) 12 (b)56 (c) 45 (d) these
   • 3. The mid-point of a class internal is called the :
   • (q) class width (d)None of these
   • 4. If = 7 and = then r=
   • (b) 0.78 (d)None of these
   • 5. At maxima and minima, the first order derivative is
   • (a) Greater than zero. (b) less than zero
   • (c) zero (d) none of these
   • 6. isa function
   • (a)Linear (b) exponential
   • (c) quadratic (d)constant
   • 7. lf variable cost per article is Rs.200 and fixed cost is Rs.3,00,000 then total cost function is
   • (b) C= 200+3,00,000x (d) none of these The coefficient of correlation ‘r’-always lies between
   • (a) (d) none of these the payments are made at the end of the successive periods, then it is annuity
   • (a) Immediate certain
   • (c) level (d) contingent
   • 10. Simple interest on Rs. 1000/- for 3 years at 8% p.a. interest rate is Rs
   • (c)240 (d) none of these
   • Q.P. Code :00044
   • b) State whether True of False (Any seven) 7
   • 1. Median is a positional average
   • 2. variables vary together in opposite direction, the correlation is positive
   • 3. is which all payments are equal is called uniform annuity
   • 4. Mode is capable of further algebraic treatment
   • 5. In Census method, only some individuals inthe population are studied
   • 6. Range is determined only by two points in the data set
   • 7. At equilibrium point, revenue is equal to cost
   • 8. If f(x)=7*% , then f(0)
   • 9. Another name for future value is discounted value
   • 10. Both the regression coefficients and byyalways are of same sign
2. Q2 a) Find the mode for the following date:
   • b) The total cost function is given by C=56,000+30x and the total revenue function is given by R=110x where x is the quantity sold. Find the break-even point 7
   • P) Find the regression equation of Y.on 8
   • q) Differentiate the following t. x. 7
3. Q3 a) quartile deviation for the following data. Length of life in hours 500-700 700-900 900-1100 1100-1300 1300-1500 8 marks
   • b) Find the maturity amount of a 2 year fixed deposit of Rs. 3,30,000 at 6% p.a. if the interest is compounded Find the standard deviation for the following data: (08) A housing society decides to set aside a certain sum at the end of each year to create a sinking fund, which (07) should amount to Rs. 5,00,000 in 4 years at 12% p.a. Find the amount to be set aside each year 7
   • Q.P. Code :00044
4. Q4 a) Aloan of Rs. 1,00,000 is to be returned in 4 equal monthly installments at 12% p.a. Find the EMI 8 marks
   • b) Find Spearman’s Rank correlation for the following data: 7
   • p) Find Karl Pearson’s coefficient of correlation for the following data: 8
   • q) Ifthe demand function is given by Also. Find the marginal revenue when D=2 7
5. Q5 a) Explain various methods of collecting primary data. 8 marks
   • b) Explain function and its types. Write short notes on any three of the following : (15) 7
   • 1) Merits and Demerits of Arithmetic mean
   • 2) Annuity and its types
   • 3). Functions of statistics
   • 4) Prerequisites of a good questionnaire
   • 5) Scatter diagram

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