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Unformatted text preview: 1 Question Paper Quantitative Methods (CFA530): April 2008 Answer all 85 questions. Marks are indicated against each question. Total Marks : 100 1. Numbers whose decimals are nonterminating and nonrepeating are included in a set of numbers called (a) Whole numbers (b) Rational numbers (c) Real numbers (d) Integers (e) Irrational numbers. (1 mark ) <Answe r> 2. The factors of x 2 – 11xy – 60y 2 are (a) (x + 15y)(x – 4y) (b) (x – 20y)(x + 3y) (c) (x – 15y)(x + 4y) (d) (x + 20 y)( x – 3y) (e) (15x – y)(x + 4y). (1 mark ) <Answe r> 3. The roots of the equation 2x 2 – 7x + 3 = 0 are (a) 1 4 , 3 (b) 1 , 3 2 (c) 1 , 4 3 (d) 1, 6 (e) 1 1 , . 2 3 (1 mark ) <Answe r> 4. If 8 1 log x 3 , 3 then the value of ‘x’ is (a) 5 (b) 11 (c) 19 (d) 25 (e) 32. (1 mark ) <Answe r> 5. The value of 10 10 10 1 log 20 + log 30 log 36 2 is (a) (b) 1 (c) 2 (d) 5 (e) 8. (1 mark ) <Answe r> 6. The age of father is three times the sum of the ages of his two sons and after 5 years his age will be double the sum of their sons ages. Find the present age of the father. (a) 32 (b) 38 (c) 42 (d) 45 (e) 50. (1 mark ) <Answe r> 2 7. If n n 4 2 P = 12 P , then the value of ‘n’ is (a) 4 (b) 6 (c) 9 (d) 11 (e) 13. (1 mark ) <Answe r> 8. Three numbers are in arithmetic progression and their sum is 15. If 1, 3, 9 are added to them respectively, they form a geometric progression. The numbers are (a) 4, 5, 6 (b) –3,15, 3 (c) 3, 5, 7 (d) –6, 9, 12 (e) –3, 10, 8. (2 mark s) <Answe r> 9. The number of permutations of the word “ASSASSINATION” taking all the letters at a time is (a) 1,08,800 (b) 10,08,080 (c) 1,08,10,800 (d) 1,20,96,040 (e) 1,31,04,050. (1 mark ) <Answe r> 10 . How many number of terms of the series 93 + 90 + 87 + ……… will amount to 975? (a) 9 (b) 13 (c) 27 (d) 39 (e) 45. (1 mark ) <Answe r> 11 . A person has 9 friends. He wants to invite one or more of them for dinner. In how many ways can he do that? (a) 1023 (b) 511 (c) 453 (d) 326 (e) 195. (1 mark ) <Answe r> 12 . There are 12 points in a plane. No three of these points are in a straight line, except 5 points which are all in the same straight line. Find the number of straight lines formed by joining them. (a) 19 (b) 25 (c) 34 (d) 48 (e) 57. (1 mark ) <Answe r> 13 . If F(x) = x + x 1 , then F(3) is (a) (b) 1 (c) 2 (d) 5 (e) 7. (1 mark ) <Answe r> 14 . How many words can be formed out of the letters of the word BANANA so that the consonants occupy the even places? (a) 2 (b) 3 (c) 5 (d) 7 (e) 9. (1 mark ) <Answe r> 3 15 . A bag contains 7 white and 9 black balls. Two balls are drawn in succession at random. What is the probability that one of them is white and the other is black?...
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 Fall '09
 CFA
 Mean, Mark S, Answe

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