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Unformatted text preview: 1 Question Paper Quantitative Methods (CFA530): January 2008 ο· Answer all 83 questions. ο· Marks are indicated against each question. Total Marks : 100 1. A company manufactures two types of printed circuits. The requirements of transistors, resistors and capacitors for each type of printed circuits along with other data are given below: Circuit A B Stock (available) (units) Transistor 15 10 180 Resistor 10 20 200 Capacitor 15 20 210 Profit Rs.5 Rs.8 Find the maximum profit of the company by using graphical method. (a) 35 (b) 48 (c) 69 (d) 73 (e) 82. (3marks) <Answer> 2. The annual income of the 70 employees of a company is as given below: Income (Rs. inβ000) 10 β 20 20 β 30 30 β 40 40 β 50 50 β 60 60 β 70 No. of persons 4 7 16 20 15 8 The average annual income is (a) Rs.15,180 (b) Rs.22,850 (c) Rs.34,250 (d) Rs.43,430 (e) Rs.51,920. (2marks) <Answer> 3. Find the combined mean of the following data: Particulars Firm I Firm II Firm III Mean wage (Rs.) 12 15 18 No. of workers 20 40 30 (a) Rs.10.32 (b) Rs.12.48 (c) Rs.15.33 (d) Rs.17.19 (e) Rs.19.74. (1 mark) <Answer> 4. Find the median of the following data. 17 19 21 13 16 18 24 22 20 (a) 13 (b) 16 (c) 18 (d) 19 (e) 21. (1 mark) <Answer> 2 5. If Q 1 = 19 and Q 3 = 33 , then the coefficient of quartile deviation is (a) 0.1345 (b) 0.2692 (c) 0.3456 (d) 0.4215 (e) 0.5714. (1 mark) <Answer> 6. If mean = 39.51 and median = 39.69, then the value of empirical mode is (a) 38.75 (b) 39.31 (c) 40.05 (d) 41.12 (e) 42.35. (1 mark) <Answer> 7. The market value of an investment has undergone the following growth rates in different years: Year 1 2 3 4 5 6 7 Growth rate (%) 5 8 β10 β4 6 10 7 The average growth rate over the seven year period is (a) 2.91% (b) 4.55% (c) 6.13% (d) 8.46% (e) 9.26%. (1 mark) <Answer> 8. If a couple travels 900 km by train at a speed of 60 kmph, 300 km by ship at an average speed of 25 kmph , 400 km by an aeroplane at 350 kmph and finally 15 km by car at 25 kmph, then the average speed of their entire journey is (a) 32.65 kmph (b) 41.45 kmph (c) 50.95 kmph (d) 56.19 kmph (e) 58.47 kmph. (1 mark) <Answer> 9. If the mean of 40 terms is 25 and standard deviation is 4, then the sum and sum of the squares of all terms respectively are (a) 1,000 and 25,640 (b) 1,012 and 12,645 (c) 852 and 14,156 (d) 457 and 18,789 (e) 360 and 23,645. (2marks) <Answer> 10. If 3 2 f (x) 4x 5x 8 for all x ο½ ο ο« ο³ , then f (3) f (2) ο is (a) 71 (b) 20 (c) 91 (d) 51 (e) 99. (1 mark) <Answer> 3 11. log x log x a b log x log x a b ο + is equal to (a) 2 a b log a (b) 2 b a log a (c) log ab a b (d) log ab b a (e) log a b a . (1 mark) <Answer> 12. In an examination a candidate is required to answer 6 out of 10 questions, which are divided in two groups each containing 5 questions. If the candidate is not permitted to answer more than four questions from each group, in how many ways can he make his choice?...
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 Fall '09
 CFA

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