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0810 QM (CFA530)

# 0810 QM (CFA530) - Question Paper Quantitative...

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1 Question Paper Quantitative Methods (CFA530): October 2008 Answer all 77 questions. Marks are indicated against each question. Total Marks : 100 1. Which of the following gives the maximum number of combination of samples that can be drawn from a population of size x and sample size y (‘!’ is factorial sign)? (a) x! x y !y! (b) x! x y !y! (c) x! x y !y! (d) y! x y !y! (e) y! . x y !y! (1mark) <Answer > 2. The value of polynomial 4 3 2 x 7x 3x 8x 5 at x is equal to <Answer > 3. Which of the following is not an unbounded interval? <Answer > 4. What is the second derivative of 5 4 2 x 3x 2x x 16? <Answer > 5. What is the value of log 8 log 27? 2 3 (a) 2 (b) 4 (c) 6 (d) 8 (e) 9. (1mark) <Answer >

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2 6. In a function 2 y x 1 , what will be the value of y, if x approaches 1? <Answer > 7. The slope of the function, 2 y x 4x 10 at x 5 is <Answer > 8. The sum of the following geometric series 3 5 7 1 1 1 1 ............ 4 4 4 4 ∞ is <Answer > 9. The sum of the third and seventh term of an A.P is 8. The sum of the first 9 terms of the progression is (a) 36 (b) 22 (c) 19 (d) 33 (e) 99. (1mark) <Answer > 10 . If A, G and H are the arithmetic mean, geometric mean and harmonic mean respectively, between two given quantities a and b, then (a) G 2 = A H (b) G 2 = H A (c) G 2 = A H (d) G 2 = H A (e) G 2 = A H. (1mark) <Answer > 11 . A certain Government bond pays three different interest rates over its six-year term. The interest rates are eight percent per annum for the first two years, ten percent per annum for the third and fourth years and twelve percent per annum for the last two years. The average growth factor for
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