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0901 QM (CFA530)

# 0901 QM (CFA530) - Question Paper Quantitative...

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Page 1 of 35 Question Paper Quantitative Methods (CFA530): January 2009 Answer all 79 questions. Marks are indicated against each question. Total Marks : 100 1. The value of x which satisfies the equation x x x 7 4 8 is (a) 4 (b) 5 (c) 6 (d) 7 (e) 8. (1 mark) <Answer> 2. Which of the following is false regarding real numbers? (a) a b if and only if b a 0 (b) If a b and b c then a c (c) If a b then a c b c (d) If a b then a b   (e) 1 1 If 0 a b then 0 . b a (1 mark) <Answer> 3. Ms. Maya requires returns of 20%. Alfa limited is offering a bond promising to pay 9 annual installments of Rs. 6,000 with the first payment due 1 year from now. How much Ms. Maya is willing to pay for it? <Answer> 4. The demand function is given by P 1100 8Q and the total cost function by C 1200 70Q . Let MR = Marginal Revenue and MC = Marginal Cost. For output Q = 45, what are the values of MR and MC? <Answer> 5. What are the roots of the equation 2 5x 10x 15 0? <Answer>

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Page 2 of 35 6. The slope of the line passing through the points (4, 3) and (7, 2) is (a) – 3 (b) 1 3 (c) 1 3 (d) 3 (e) None of the above. (1 mark) <Answer> 7. If y = 3x 3 – 2x + 1, then the value of dx dy at x = 2 will be equal to (a) 0 (b) 1 (c) 21 (d) 34 (e) 36. (1 mark) <Answer> 8. Find out the sum of the following series: 2 3 1 1 1 S 4 4 4 ........... 2 2 2 <Answer> 9. t 0 lim 2 2 2 4 t t (a) 1 4 (b) 1 2 (c) 2 (d) 4 (e) 2 . (1 mark) <Answer>
Page 3 of 35 10. What is the value of 1 x f (x), if f(x) 2 x ? (a) 2 3 (2 x) (b) 2 (2 x) (c) 2 2 (2 x) (d) 3 3 (2 x) (e) 2 1 (2 x) . (2marks) <Answer> 11. Differentiate 2 y = 13x 5x+8 . (a) 2 26x+5 2 13x 5x+8 (b) 2 52x 5 2 13x 5x+8 (c) 2 26x 5 2 13x 5x (d) 2 26x 5 2 13x 5x+8 (e) 2 26x 5 2 x 5x+8 . (1 mark) <Answer> 12. The Marketing Manager of United Home Products Ltd., has collected the following data pertaining to the sales of one of the products of the company in the past few years: Year Sales (thousand units) 2001 14 2002 26 2004 46 2005 57 2006 68 2007 80 Find out the approximate number of units of the product sold in the year 2003 using interpolation techniques. <Answer>

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