BCom FY BCom Sem 1 BCom Sem 1 (2016 2017) March 2017 ATKT MATHS Question Paper - Mumbai University | munotes

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Q1 All Questions are compulsory. =
- (10) 2. Figures to the right indicate full mark allotted
Q3 simple non-programmable calculator is allowed. e
- (10) 4. Graph papers will be provided on request
- (10) SECTION
Q1 Attempt any FOUR of the following
- (10) a) Mihir sold some shares at a market price of Rs.300 per share with 0.1% brokerage. He got Rs.1, 13,886 in this transaction. Find the number of shares he sold 5
- (10) b) Chaitali got 320 shares of a company of face value Rs.10 ata market price of Rs.120 each. months she received dividend at 40%. After 6 months she sold the shares at a market price of Rs.160. She paid brokerage at 0.4% for both the transactions. Find the percentage profit, 5
- c) investor joined a mutual fund with Rs.26, 176 when N.A.V. was Rs.80. When the touched Rs.100 he sold all his units. Find his gain in the entire deal if the entry load is 2.25% and the exit load is
- d) If a mutual fund has N.A.V. of Rs.36 at the beginning and Rs.45 at the end of the year, findthe absolute change and the percentage change during the year 5
- e) Onthe instructions of Mr. Anant Gonsalvis, a mutual fund executed an and invested Rs.S000 each on the 8 of month from January-2016 to April-2016. The N.A.V. s for these four days were Rs.37.56, Rs.37.66 and Rs.37.78 resp-sctively. Find the average acquisition cost per unit up to 2 decimal places. (The number of units was rounded off up to 3 decimal places. There was no entry load.) 5
Q2 Attempt any fOUR from the following
- a) An organization consists of 9 members of which 4 are doctors. A selection of 4 persons is to be done amongst these.members. Find selections will have i) no doctor ii) exactly 2 doctors 5
- b) There boys and five girls are made to sit in a line for a music competition. How many different arrangements be made so that no two boys are together? 5
- c) Solve the following linear programming problem by using graphical method : 5
- Q.P. Code :01247
- d) Apainter makes two paintings A and B. He spends 1 hour for drawing and 3 hours for coloring: painting A and he spends 3 hours for drawing and 1 hour for coloring the painting 8. He can spe most 8 hours and 9 hours for drawing and coloring respectively. The profit per painting of Type Rs.4000 and that of type B is Rs.5000 Formulate as Linear Programming Problem to maximize the profit the Linear programming problem graphically:
Q3 Attempt any FOUR of the following
- a) Calculate the Arithmetic Mean and Mode of Marks of students from the following frequency
- b) Define the term Arithmetic Mean and State any two of its properties,
- c) Draw less than ogive curve for the following frequency distribution and hence locate the Production in number of units 10-20 | 20-30 | 30-40 | 40-50
- d) The following data gives the Mean & Standard Deviation of wages of two groups of workers In which group is there greater variation in the distribution of wages?
- Q.P. Code :01247
- e) Find Quartile Deviation for the following data. No. of students 2.4 Attempt any FOUR of the following 5
- a) Define the following terms with example. Three coins are tossed, find the probability of getting (5) fy At most two tails (: V(X) for the following probability mass function of Random Variable X = 2/4, P (AUB) = 5/12 Find P (An B) and P(A/B). (5) = drawn from 35 lottery tickets numbered from 1 to 35. Find the probability that the number on FOUR of the following = “et Table and find the best decision by Minimax Regret Criterion 5
- Q.P. Code :01247
- b) Given the following Pay-off table, find optimal decision using :
- i) Laplace Criterion,
- c) Draw a decision tree for the decision making problem and suggest the best action Probability | Course of Action
- d) Find the best Action by using EOL criterion for the following pay-off matrix,
- e) Find the best decision by using EMV criterion for the following pay-off matrix

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