IIFT2010QuestionPaper Related Question Answers

26. In a Green view apartment, the houses of a row are numbered consecutively from 1 to 49. Assuming that there is a value of ‘x’ such that the sum of the numbers of the houses preceding the house numbered ‘x’ is equal to the sum of the numbers of the houses following it. Then what will be the value of ‘x’?

27. To start a new enterprise, Mr. Yogesh has borrowed a total of Rs. 60,000 from two money lenders with the interest being compounded annually, to be repaid at the end of two years. Mr. Yogesh repaid Rs.38, 800 more to the first money lender compared to the second money lender at the end of two years. The first money lender charged an interest rate, which was 10% more than what was charged by the second money lender. If Mr. Yogesh had instead borrowed Rs. 30,000 from each at their respective initial rates for two years, he would have paid Rs.7, 500 more to the first money lender compared to the second. Then money borrowed by Mr. Yogesh from first money lender is?

28. Find the coefficient of $$x^{12}$$ in the expansion of $$(1 - x^{6})^{4}(1 - x)^{-4}$$

29. Mukesh, Suresh and Dinesh travel from Delhi to Mathura to attend Janmasthmi Utsav. They have a bike which can carry only two riders at a time as per traffic rules. Bike can be driven only by Mukesh. Mathura is 300Km from Delhi. All of them can walk at 15Km/Hrs. All of them start their journey from Delhi simultaneously and are required to reach Mathura at the same time. If the speed of bike is 60Km/Hrs then what is the shortest possible time in which all three can reach Mathura at the same time.

30. In a rocket shape firecracker, explosive powder is to be filled up inside the metallic enclosure. The metallic enclosure is made up of a cylindrical base and conical top with the base of radius 8 centimeter. The ratio of height of cylinder and cone is 5:3. A cylindrical hole is drilled through the metal solid with height one third the height of the metal solid. What should be the radius of the hole, so that volume of the hole (in which gun powder is to be filled up) is half of the volume of metal solid after drilling?

31. A small and medium enterprise imports two components A and B from Taiwan and China respectively and assembles them with other components to form a toy. Component A contributes to 10% of production cost. Component B contributes to 20% of the production cost. Usually the company sells this toy at 20% above the production cost. Due to increase in the raw material and labour cost in both the countries, component A became 20% costlier and component B became 40% costlier. Owing to these reasons the company increased its selling price by 15%. Considering that cost of other components does not change, what will be the profit percentage, if the toy is sold at the new price?

32. What is the value of c2 in the given figure, where the radius of the circle is ‘a’ unit.

33. How many subsets of {1, 2, 3 ... 11} contain at least one even integer?

34. Read the following information and choose the right alternative in the questions that follow.During the cultural week of an institute six competitions were conducted. The cultural week was inaugurated in the morning of 19th October, Wednesday and continued till 26th October. In the span of 8 days six competitions namely debate, folk dance, fash-p, street play, rock band, and group song, were organized along with various other cultural programs. The information available from the institute is: i. Only one competition was held in a day ii. Rock band competition was not conducted on the closing day. iii. Fash-p was conducted on the day prior to debate competition iv. Group song competition was conducted neither on Wednesday nor on Saturday v. None of the competition was conducted on Thursday and Sunday vi. Street Play competition was held on Monday vii. There was gap of two days between debate competition and group song competitionThe cultural week started with which competition?

35. How many days gap is there between rock band competition and group song competition?

36. Which pair of competition was conducted on Wednesday?

37. Which competition exactly precedes the street play competition?

38. Fash-p competition follows which competition?

39. If SX4 and Esteem exchange their positions mutually then car (s) adjacent to Esteem is (are)?

40. If Alto changes position with i10 and Punto changes position with SX4 and Swift shifts one position to the right to accommodate Beatle then the car (s) parked adjacent to Beatle is (are)?

41. In the original parking scheme four new cars enter the parking lot such that Wagon-R is second to the right of i10 and Zen is second to the left of SX4. Jazz is parked second to the left to Wagon-R and Beat is parked to the right of Alto then the cars that moved out are?

42. The man who works in Wipro has a e-mail account with?

43. Which of the following e-mail-place of posting- person combination is correct?

44. Which of the following sequences of location represent Alok, Kabeer, Anup, Rahul, Raghu, and Amit in the same order?

45. People who have e-mail account with Indiatimes, Sancharnet and Yahoo work for which companies, in the same sequence as the e-mail accounts mentioned?

46. How many ‘zeroes’ are there in the following sequence which are immediately preceded by a nine but not immediately followed by seven? 7090070890702030045703907

47. A Retail chain has seven branches in a city namely R1, R2, R3, R4, R5, R6, R7 and a central distribution center (DC). The nearest branch to the DC is R6 which is in the south of DC and is 9 Km away from DC. R2 is 17 Km away from DC in the west. The branch R1 is 11 Km away R2 further in the west. The branch R3 is 11 Km in the north east of R1. R4 is 13 Km from R3 in the east. R5 is 11 Km in the north east of the distribution center. In the north east of R6 is R7 and distance between them is 15 Km. The distance between R1 and R6, R2 and R6, R6 and R5 is 23 Km, 19 Km, 13 Km respectively. R3 is 14 Km away from the DC in the north west direction, while R2 is also 14 Km away from R4 in the north east direction of R2. A truck carrying some goods starts from the distribution center and has to cover at least four stores in a single trip. There is an essential good that has to be delivered in the store R7, but the delivery at R7 has to be done in the end, so what is the shortest distance the truck would travel?

48. Following graph represents the cost per square feet of four retailers from the financial year 2004 to 2012. The expected cost per square feet for year 2010, 2011 and 2012 are fore casted figures. Which retailer shows the sharpest decline in cost per square feet and in which year?

49. Which retailer has shown the maximum increase in its cost per square feet and in which year?

50. What is the average rate of change in the cost per square feet of the retail sector, if the sector is represented by the above four retailers in the period FY07 to FY10E?

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