IIFT2008QuestionPaper Related Question Answers

51. A spiral is made up of 13 successive semicircles, with centres alternately at A and B, starting with the centre at A. The radii of semicircles thus developed are 0.5 cm, 1.0 cm, 1.5 cm, 2.0 cm and so on. The total length of the spiral is:





52. The mean salary in ICM LTD. was Rs. 1,500, and the standard deviation was Rs. 400. A year later each employee got a Rs. 100 raise. After another year each employee’s salary (including the above mentioned raise) was increased by 20%. The standard deviation of the current salary is:





53. A medical clinic tests blood for certain disease from which approximately one person in a hundred suffers. People come to the clinic in group of 50. The operator of the clinic wonders whether he can increase the efficiency of the testing procedure by conducting pooled tests. In the pooled tests, the operator would pool the 50 blood samples and test them altogether. If the polled test was negative, he could pronounce the whole group healthy. If not, he could then test each person’s blood individually. The expected number of tests the operator will have to perform if he pools the blood samples are:





54. The game of “chuck-a-luck” is played at carnivals in some parts of Europe. Its rules are as follows: if you pick a number from 1 to 6 and the operator rolls three dice. If the number you picked comes up on all three dice, the operator pays you €3; if it comes up on two dice, you are paid €2; and if it comes up on just one die, you are paid €1. Only if the number you picked does not come up at all, you pay the operator €1. The probability that you will win money playing in this game is:





55. The expected present value of the five years cumulative profit with choice 3 is:





56. If the distributor M/s James claims a coverage of 55% instead of 75% and probability of this claim to be true is 0.70 instead of 0.20 then which of the following statement is true?





57. McDonald’s ran a campaign in which it gave game cards to its customers. These game cards made it possible for customers to win hamburgers, French fries, soft drinks, and other fast-food items, as well as cash prizes. Each card had 10 covered spots that could be uncovered by rubbing them with a coin. Beneath three of these spots were “No Prize” signs. Beneath the other seven spots were names of the prizes, two of which were identical. For, example, one card might have two pictures of a hamburger, one picture of a coke, one of French fries, one of a milk shake, one of a $5, one of $1000, and three “No Prize” signs. For this card the customer could win a hamburger. To win on any card, the customer had to uncover the two matching spots (which showed the potential prize for that card)before uncovering a “No Prize”; any card with a “No Prize” uncovered was automatically void. Assuming that the two matches and the three “No Prize” signs were arranged randomly on the cards, what is the probability of a customer winning?





58. While packing for a business trip Mr. Debashis has packed 3 pairs of shoes, 4 pants, 3 half-pants, 6 shirts, 3 sweater and 2 jackets. The outfit is defined as consisting of a pair of shoes, a choice of “lower wear” (either a pant or a half-pant), a choice of “upper wear” (it could be a shirt or a sweater or both) and finally he may or may not choose to wear a jacket. How many different outfits are possible?





59. If $$Tan x +Tan(x+\frac{\pi}{3})+Tan(x+\frac{2\pi}{3})=3$$ then which of the following is correct?





60. If D is the midpoint of side BC of a triangle ABC and AD is the perpendicular to AC then:





61. A cylinder, a Hemi-sphere and a cone stand on the same base and have the same heights. The ratio of the areas of their curved surface is:





62. Answer the questions based on the following table. Find the TRUE Statement:
 





63. Answer the questions based on the following table. The special type wagons expressed as a percentage of total wagons were at almost same level during the following pair of years:
 





64. Answer the questions based on the following table. The Departmental wagons expressed as a percentage of total wagons was maximum during:
 





65. Answer the questions based on the following table. Find out the LOWEST annual growth rate among the following:
 





66. Answer the questions based on the following table. Find out the FALSE statement:
 





67. Answer the questions based on the following table. Find out the HIGHEST annual growth rate among the following:
 





68. Answer the questions based on the following graph. In which year the annual growth rate of total production (of all products) is highest?
 





69. Answer the questions based on the following graph. If the stability of the production during 1990 to 1995 is defined as,
 





70. Answer the questions based on the following graph. If four products P, Q, R and S shown in the graph are sold at price of Rs. 9, Rs. 4, Rs.13 and Rs.3 respectively during 1990-1995, then the total revenue of all the products is lowest in which year?
 





71. Answer the questions based on the following graph. Individual revenue of P, Q, R and S for the entire period (1990-1995) is calculated based on the price of Rs.9, Rs.4, Rs.13 and Rs.3 respectively. Which product fetches the lowest revenue?
 





72. Answer the questions based on the following graph. Four products P, Q, R and S shown in the graph are sold at price of Rs.9, Rs.4, Rs.13 and Rs.3 respectively during 1990-1995. Which of the following statements is TRUE?
 





73. Answer the questions based on the following table. Mark the HIGHEST FDI inflow growth rate among the following:
 





74. Answer the questions based on the following table. Mark the LOWEST FDI inflow growth rate among the following:
 





75. Answer the questions based on the following table. Mark the TRUE statement:
 





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