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June 19th, 2014, 01:30 PM
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Past year question papers of Mathematic of CPT
I want to give the exam of Common Proficiency Test and for that I want to get the past year question papers of Mathematic of CPT so can you provide me that as it is very urgent for me? As you want to get the past year question papers of Mathematic of CPT so here is the information of the same for you: Some content of the file has been given here: PART I 151. Simple random sampling is very effective if (a) The population is not very large. (b) The population is not much heterogeneous. (c) The population is partitioned into several sections. (d) Both (a) and (b). 152. Which of the following pairs of events are mutually exclusive? (a) A : The student reads in a school. B : He studies Philosophy. (b) A : Raju was born in India. B : He is a fine Engineer. (c) A : Ruma is 16 years old. B : She is a good singer. (d) A : Peter is under 15 years of age. B : Peter is a voter of Kolkata. 153. Which of the following statements is untrue for tabulation? (a) Statistical analysis of data requires tabulation. (b) It facilitates comparison between rows and not columns. (c) Complicated data can be presented. (d) Diagrammatic representation of data requires tabulation. 154. For a moderately skewed distribution, which of he following relationship holds? (a) Mean – Mode = 3 (Mean – Median) (b) Median – Mode = 3 (Mean– Median) (c) Mean – Median = 3 (Mean – Mode) (d) Mean – Median = 3 (Median – Mode) 155. If two events A and B are independent, then P(AB) (a) Equals to P(A) + P(B). (b) Equals to P(A)P(B). (c) Equals to P(A) P(B/A). (d) Equals to P(B) P(A/B). 156. Regression analysis is concerned with (a) Establishing a mathematical relationship between two variables. (b) Measuring the extent of association between two variables. (c) Predicting the value of the dependent variable for a given value of the independent variable. (d) Both (a) and (c). 157. For a Poisson distribution, (a) Mean and standard deviation are equal. (b) Mean and variance are equal. (c) Standard deviation and variance are equal. (d) Both (a) and (b). 158. The best method to collect data in case of natural calamity is (a) Personal interview. (b) Telephone interview. (c) Mailed questionnaire method. (d) Indirect interview. 159. Sequence of periodic payments/ receipts regularly over a period of time is called (a) Perpetuity. (b) Annuity. (c) Annuity regular. (d) Annuity due. 160. Which of the following statements is true? (a) Usually mean is the best measure of central tendency. (b) Usually median is the best measure of central tendency. (c) Usually mode is the best measure of central tendency. (d) Normally, GM is the best measure of central tendency. PART II 161. _________ distribution is symmetrical when p = 0.5. (a) Chi- square 35 (b) Population (c) Poisson (d) Binomial 162. log 32/4 is equal to ________. (a) log 32/log4 (b) log 32 – log4 (c) 2 3 (d) None of these 163. If _______, the roots are real and equal. (a) b 2 – 4ac= 0 (b) b 2 – 4ac> 0 (c) b 2 – 4ac<0 (d) b 2 – 4ac 0 164. ________ is the mean proportional between 12x2 and 27y2. (a) 18xy (b) 81 xy (c) 8 xy (d) 19.5 xy 165. The letters of the words CALCUTTA and AMERICA are arranged in all possible ways. The ratio of the number of these arrangement is _______. (a) 1: 2 (b) 2:1 (c) 1:1 (d) 1.5:1 166. The 7th term of the series 6, 12, 24……is_______. (a) 384 (b) 834 (c) 438 (d) 854 167. The two variables are known to be_______ if the movement on the part of one variable does not produce any movement of the other variable in a particular direction. (a) Correlated (b) Positive correlated (c) Negative correlated (d) Uncorrelated 168. If two letters are taken at random from the word HOME , _________ is the probability that none of the letters would be vowels. (a) 1/6 (b) 1/2 (c) 1/3 (d) 1/4 169. In ________ years a sum will double at 5% p.a. compound interest. (a) 15 years 3 months (b) 14 years 2 months (c) 14 years 3 months (d) 15 years 2 months 170. When the data are classified in respect of successive time points, they are known as_______. (a) Chronological data (b) Geographical data (c) Ordinal data (d) Cordinal data PART III 171. 2 x lim 2 x 4 x2 is equal to (a) 4 (b) –4 (c) does not exist (d) None of these 172. The derivative of y = 1 x is (a) 1 / 1 x (b) – 1 / 1 x (c) 1 / 2 1 x 37 (d) None of these 173. _ dx logx is equal to (a) x logx (b) x logx – x2 + k (c) x logx + k (d) None of these 174. If g(x) = x–1/x, g(–½) is (a) 1 (b) 2 (c) 3/2 (d) 3 175. The sum of first n natural number (a) ) 1 n ( ) 2 / n ( (b) ) 1 n 2 ( ) 1 n ( ) 6 / n ( (c) 2 )] 1 n ( ) 2 / n [( (d) None of these. 176. Chain index is equal to (a) 100 year current the of index chain year current of relative link (b) 100 year current the of index chain year previous of relative link (c) 100 year previous the of index chain year current of relative link (d) 100 year previous the of index chain year previous of relative link 177. If from a population with 25 members, a random sample without replacement of 2 members is taken, the number of all such samples is (a) 300 (b) 625 (c) 50 (d) 600 178. If A = Rs. 1000, n = 2 years, R = 6% p.a compound interest payable half-yearly then principal ( P ) is (a) Rs. 888.80 (b) Rs. 880 (c) 800 (d) None of these 179. There are 10 trains plying between Calcutta and Delhi. The number of ways in which a person can go from Calcutta to Delhi and return by a different train is (a) 99 (b) 90 (c) 80 (d) None of these. 180. Every person shakes hands with each other in a party and the total number of hand shakes is 66. The number of guests in the party is (a) 11 (b) 12 (c) 13 (d) 14 181. The sum of a certain number of terms of an AP series –8, –6, –4, …… is 52. The number of terms is (a) 12 (b) 13 (c) 11 (d) None of these. 182. If you save 1 paise today, 2 paise the next day 4 paise the succeeding day and so on, then your total savings in two weeks will be (a) Rs. 163 (b) Rs. 183 (c) Rs. 163.83 (d) None of these. 183. If the set P has 3 elements, Q four and R two then the set P×Q×R contains (a) 9 elements. (b) 20 elements. (c) 24 elements. (d) None of these. 184. A function f(x) is defined by f(x) = (x–2)+1 over all real values of x. now f(x) is (a) Continuous at x = 2 (b) Discontinuous at x = 2 (c) Undefined at x = 2 (d) None of these. 185. The number of accidents for seven days in a locality are given below : No. of accidents : 0 1 2 3 4 5 6 Frequency : 15 19 22 31 9 3 2 What is the number of cases when 3 or less accidents occurred? (a) 56 (b) 6 (c) 68 (d) 87 186. On the average experienced person does 5 units of work while a fresh one 3 units of work daily but the employer has to maintain an output of at least 30 units of work per day. This situation can be expressed as (a) 5x + 3y 30 (b) 5x + 3y >30 (c) 5x + 3y 30 (d) None of these 187. The mean salary for a group of 40 female workers is 5200 per month and that for a group of 60 male workers is 6800 per month . What is the combined mean salary? (a) 6500 (b) 6200 (c) 6160 (d) 6100 188. The standard deviation of, 10, 16, 10, 16, 10, 10, 16, 16 is (a) 4 (b) 6 (c) 3 (d) 0 189. A bag contains 15 one rupee coins, 25 two rupee coins and 10 five rupee coins. If a coin is selected at random from the bag, then the probability of not selecting a one rupee coin is (a) 0.30 (b) 0.70 (c) 0.25 (d) 0.20 190. If a card is drawn at random from a pack of 52 cards, what is the chance of getting a Spade or an ace? (a) 4/13 (b) 5/13 (c) 0.25 (d) 0.20 191. The quartile deviation of a normal distribution with mean 10 and SD 4 is (a) 0.675. (b) 67.50 . (c) 2.70. (d) 3.20. 192. If there are 3 observations 15, 20, 25 then the sum of deviation of the observations from their AM is (a) 0 (b) 5 (c) –5 (d) None of these. 193. _ eax dx (a) ex (b) eax / a (c) log x (d) eax 194. dx d ( ax) (a) ax log e a (b) log x (c) eax (d) ae ax 195. Five times of a positive whole number is 3 less than twice the square of the number. The number is (a) 3 (b) 4 (c) –3 (d) 2 196. If the profits of a company remains the same for the last ten months, then the standard deviation of profits for these ten months would be ? (a) Positive (b) Negative (c) Zero (d) (a) or (c) 197. The mean of a binomial distribution with parameter n and p is (a) n (1– p). (b) np (1 – p). (c) np. (d) (1– ) np p . 198. The total area of the normal curve is (a) One. (b) 50 per cent. (c) 0.50. (d) Any value between 0 and 1. 199. What is the present value of Re.1 to be received after two years compounded annually at 10% ? (a) 0.73 (b) 0.83 (c) 0.93 (d) None of these. 200. The sum of the series 9, 5, 1,…. to 100 terms is (a) –18900 (b) 18900 (c) 19900 (d) None of these. For more detailed information I am uploading PDF files which are free to download: Contact Details: The Institute of Charted Accountants of India Block A, 29, Block A, Sector 62, Noida, Uttar Pradesh 201307 0120 304 5961 India Map Location: Last edited by Neelurk; April 13th, 2020 at 11:21 AM. |
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