Quantitative Aptitude Test Time Allowed: 1 Hour Maximum Marks: 50 Note: Question 1 to 50 carry one mark each. For every incorrect answer, there is adeduction of 0.25 marks from the score.

Choose the appropriate option among (a), (b), (c) and (d)Q1. Marks of a student is an example of (a)An attribute (b) A discrete variable (c) A continuous variable (d) None of these. Q2. Out of 1000 persons, 25 percent were industrial workers and the rest were agricultural workers. 300 persons enjoyed world cup matches on T. V. 30 percent of the people who had not wanted world cup matches were industrial workers. What is the number of agricultural workers who had enjoyed world cup matches on TV?(a) 230 (b) 240 (c) 250 (d) 260Q3. A sum of Rs. 427 is to be divided among A, B and C such that 3 times As share , 4 times Bs share and 7 times cs share are eqal then share of c is ?(a) Rs. 84 (b) Rs. 147 (c) Rs. 196 (d) Rs. 240Q4. Third proportional to (x2y2) and (xy) is

(a) (b) (c) (d)

Q5.

(a) (b) (c) (d) None of these

Q6. If xyz = 1 then (a) 0 (b) 1 (c) 3 (d) None of these

Q7. The value of the exprerssion (a) 0 (b)10 (c) 1 (d) None of theseQ8. The coefficient of mean deviation about mean for first 9 natural numbers is(a) 50 (b) 80 (c) 400/9 (d) 200/9Q9. If each observation of a raw data, whose mean and variance are respectively 10 and 2 is multiplied by 3 then the mean and variance of the new data set are(a) 30, 6 (b) 30, 18 (c) 10, 2 (d) None of these. Q10. If there are two groups with 75 and 65 as harmonic means and containing 15 and 13 observations, then the combined H.M. is given by:(a) 70 (b) 80 (c) 70.35 (d) 69.48Q11. Find the standard deviation of the first 7 natural numbers is (a) 1 (b) 2 (c) 3 (d) 4Q12. Find area of a quadrilateral whose vertices are (1, 7), (3, 5), (6, 2), (4, 2).(a) 53 sq. units (b) 64 sq. units (c) 56 sq. units (d) None of these.Q13. The three roots of the cubic equation x3 + 6x2 + 9x + 4 = 0 are(a) 4, 1, and 1 (b) 4, 1 and + 1 (c) 4, 1 and 1 (d) 4, 1 and 1.Q14. A student obtained the mean and standard deviation of 100 observations as 40 and 5.1 respectively. It was later discovered that he had wrongly copied down an observation as 50 instead of 40. . The correct standard deviation is :(a) 5 (b) 6 (c) 3 (d) 7 Q15. If the population is to divided into five classes according to the height of the persons included in each group and six classes according to the weight. There will thus cells, .. marginal distributions and conditional distributions.(a) 30, 11, 2 (b) 11, 2 30 (c) 30, 2, 11 (d) None of these.Q16. The coefficient of correlation between two variables is of order(a) 0 (b) 1 (c) 2 (d) None of these.Q17. Two ladies were asked to rank 7 different types of lipsticks. The ranks given by them are given below:Lipsticks : ABCDEFGVeena : 2143567Neena : 2143567Calculate Spearman's coefficient.

(a) 0 (b) 1 (c) (d) None of these.Q18. On solving the inequalities 6x + y > 18, x. + 4y > 12, 2x + y > 10, we get the following situation:(a) (0, 18), (12, 0), (4, 2) & (2, 6) (b) (3, 0), (0, 3), (4, 2), & (2, 6)(c) (5, 0), (0, 10), (4, 2) & (2, 6) (d) (0, 18), (12, 0), (4, 2), (0,0) and (2, 6)Q19. The effective annual rate of interest corresponding to nominal rate 6% p.a. payable half yearly is(a) 6.06% (b) 6.07% (c) 6.08% (d) 6.09%Q20. A sum of money doubles itself in 10 years. The number of years it would treble itself is :(a) 25 years (b) 15 years (c) 20 years (d) None of these.Q21. Find the present value of a sequence of payments of Rs.80 made at the end of each 6 months and continuing forever, if money is worth 4% compounded semiannually.(a) Rs. 3000 (b) Rs. 4000 (c) Rs. 5000 (d) None of these.Q22. How many different selections can be made with 4 of the letters of the word MATHEMATICS?(a) 136 (b) 137 (c) 138 (d) None of these.Q23. Find the number of divisors of 21600 excluding 1 and the number itself.(a) 72 (b) 34 (c) 35 (d) 70Q24. In how many ways can 7 persons be seated at a round table so that all shall not have the same neighbors in any two arrangements?(a) 360 (b) 720 (c) 5040 (d) None of these.Q25. In how many ways can 5 rings be worn on the 4 fingers of one hand? (a) 20 (b) 625 (c) 1024 (d) None of these.

Q26. The sum of the first 100 terms common to the series 17, 21, 25, . and 16, 21, 26, . is (a) 202200 (b) 100101 (c) 101010 (d) 101100

Q27. Find the sum of first 10 terms of the series:

(a) (b) (c) (d) None of these.Q28. The method applied for deriving regression equations is known as :(a) Concurrent deviation (b) Product moment (c) Least squares (d) Normal equationQ29. Which of the following regression equations represent regression line of Y on X: 7x + 2y + 15 = 0, 2 x + 5y + 10 = 0(a) 7x + 2y + 15 = 0 (b) 2x + 5y + 10 = 0 (c) Both (a) and (b) (d) None of theseQ30. If any 15 dates are selected at random, what is the probability of getting two Sundays? (a)0.19 (b) 0.29 (c) 0.39 (d) None of these.Q31. Out of the numbers 1 to 120, one is selected at random. What is the probability that it is divisible by 8 or 10?(a) 1/10 (b) 1/8 (c) 1/5 (d) 1/40Q32. Consider Urn I: 2 white balls, 3 black balls Urn II: 4 white balls, 6 black balls One ball is randomly transferred from first to second Urn, then one ball is drawn from II Urn. The probability that drawn ball is white is

(a) (b) (c) (d) Q33. Let x denote the profit that a man makes in a business. He may earn Rs. 4,000 with probability 0.5, he may lose Rs. 5,800 with probability 0.3, and he may neither earn nor lose with probability 0.2. Calculate the mathematical expectation of x.(a) Rs. 260 (b) Rs. 250 (c) Rs. 360 (d) Rs. 650

Q34. If is a probability density function then the value of k is ..(a) 1/3 (b) 1/6 (c) 1/9 (d) 1/12 Q35 . An investigator interviewed 100 students to determine the performance of three drinks milk, coffee and tea. The investigator reported that 10 students take all three drinks milk, coffee and tea; 20 students take milk and coffee, 30 students take coffee and tea, 25 students take milk and tea, 12 students take milk only, 5 students take coffee only and 8 students take tea only. Then the number of students, who did not take any of the three drinks, is:(a) 10 (b) 20 (c) 25 (d) 30 Q36. The number of equivalence relations that can be defined on the set A = {a, b, c} is(a) 3 (b) 5 (c) 7 (d) 8Q37. Let A = {1, 2, 3} and B = {6, 4, 7}. Then the relation: f ={(1,6), (2, 4), (1, 4), (3, 7)} is(a) function from B to A (b) not a function (c) function from A to B (d) None of these. Q38. If f(x l) = x2 4x + 8, then f (x) = ..(a) x2 2x + 5 (b) x2 + 2x + 7 (c) x2 + 4 (d) x2 4x+8

Q39. (a) 3 (b) 1 (c) 0 (d) None of these. Q40. If mean of the Poisson distribution is 2, find its mode.(a) 2 & 3 (b) 3 (c) 1 & 2 (d) None of these.Q41. The numbers of parameters in Binomial distribution, Poisson distribution and Normal distribution are respectively.(a)1,2, 3 (b) 2, 1, 2 (c) 2, 2, 2 (d) 2, 2, 1Q42. If x ~ N(3, 36) and y ~ N(5, 64) are two independent Normal variate with their standard parameters of distribution, then if (x + y) ~ N(8, A) also follow normal distribution. The value of A is_________(a) 100 (b) 10 (c) 64 (d) 36Q43. Sampling error is . Proportional to the square-root of the number of terms in the sample.(a) inversely (b) directly (c) equally (d) None of these.Q44. It is known that the population standard deviation in waiting time for new gas connections in a particular town is 25 days. How large a sample should be chosen to be 95% confident that the average waiting time is within 6.125 days of the true average?(a) 100 (b) 10 (c) 64 (d) 36Q45. The error is committed by the test in rejecting a true null hypothesis.(a) Type I (b) Type II (c) Correct decision (d) None of these.Q46. A production manager claim that only 4% of the goods produced are defective. In a random sample of a batch of 600 units. The standard error of proportion of defective is (a) 0.001 (b) 0.005 (c) 0.008 (d) None of these.Q47. Calculate Fishers Index if Laspeyres Index Number =225, Paasches Index Number =121(a) 100 (b) 150 (c) 140 (d) None of theseQ48. From year 1990 to 1993, Consumer Price Index Number goes up from 100 to 200 and salary of a worker is also raised from Rs.300 to Rs.500. What is the gain or loss of a worker? (a) Gain of Rs.50 (b) Loss of Rs.50 (c) No Gain or Loss (d) None of these.

Q49. The marginal cost function (in Rupees) for units of production of an item is given by given. Determine the production cost of 2 units.(a) Rs.8 (b) Rs.9 (c) Rs.10 (d) None of these.

Q50. Evaluate

(a) (b) (c) (d) None of these.