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Question Booklet Serial No.
ADMISSION TEST FOR PROGRAMME 2009-
Time: 2 Hours Marks: 100
ROLL NUMBER
NAME (in Capital Letters)
INSTRUCTIONS
- Write the Question Booklet Serial Number in the space provided in the Answer Sheet. Question
Booklet Serial Number is given at the top of this page.
- Write your Roll No. clearly in the space provided in both the Question Booklet and the Answer Sheet.
- Mark your answers in the Answer Sheet only. The Answer Sheet alone will constitute the basis of evaluation.
- All rough work must be done in the Question Booklet only.
- Do not make any stray marks anywhere in the answer sheet.
- Do not fold or wrinkle the answer sheet.
- Use only HB Pencil to mark the answers in the answer sheet.
- All questions have one correct answer. Every answer must be indicated clearly darkening one circle for each answer. If you wish to change an answer, erase completely the already darkened circle, then make a fresh mark. If you darken more than one circle your answer will be treated as wrong, as shown in the example below:
WRONG METHOD RIGHT METHOD
B C^ B C D
- There is negative marking equivalent to 1/4th^ of the mark allotted to the specific question for wrong answer.
- The candidates are advised to read all options thoroughly.
- No clarification of any sort regarding the question paper is permitted.
IIFT 2008
SECTIONS
THE ENTIRE QUESTION PAPER IS DIVIDED INTO
THE FOLLOWING SECTIONS
NO. OF QUESTIONS MARKS PER TOTAL MARKS
QUESTION
(a) Section - 1 Section – 2 Section – 3 Section – 4 Section – 5 Section – 6 Total
IIFT 2008
(b) 32 (Questions 01 – 32) 27 (Questions 33 – 59) 26 (Questions 60 – 85) 12 (Questions 86 – 97) 23 (Questions 98 – 120) 30 (Questions 121 – 150) 150
(c)
**(d) = (b) × (c)
100.**
Directions for questions 4 – 5: Answer the questions based on the following information.
Director of an institute wants to distribute teaching assignments of HRM, Psychology, Development Studies,
Trade policy and Finance to five of six newly appointed faculty members. Prof. Fotedar does not want any assignment if Prof. Das gets one of the five. Prof. Chaudhury desires either HRM or Finance or no assignment. Prof. Banik opines that if Prof. Das gets either Psychology or Trade Policy then she must get the other one. Prof. Eswar insists on an assignment if Prof. Acharya gets one.
- Which of the following is valid faculty – assignment combination if all the faculty preferences are considered?
A. Prof. Acharya - HRM, Prof. Banik – Psychology, Prof. Chaudhury – Development studies, Prof. Das
- Trade Policy, Prof. Eswar – Finance B. Prof. Chaudhury - HRM, Prof. Das – Psychology, Prof. Acharya – Development studies, Prof. Banik
- Trade Policy, Prof. Eswar – Finance C. Prof. Acharya - HRM, Prof. Banik – Psychology, Prof. Eswar – Development studies, Prof. Das – Trade Policy, Prof. Fotedar – Finance D. Prof. Banik - HRM, Prof. Fotedar – Psychology, Prof. Eswar – Development studies, Prof. Chaudhuri – Trade Policy, Prof. Acharya – Finance
- If Prof. Acharya gets HRM and Prof. Chaudhury gets Finance, then which of the following is not a correct faculty-assignment combination assuming all faculty preferences are considered?
A. Prof. Das – Development Studies, Prof. Banik – Trade Policy B. Prof. Fotedar – Development Studies, Prof. Banik – Trade Policy C. Prof. Banik – Development Studies, Prof. Eswar – Trade Policy D. Prof. Banik – Development Studies, Prof. Das – Trade Policy
Directions for questions 6 – 8: Answer the questions based on the following information.
Five women decided to go for shopping to South Extension, New Delhi. They arrived at the designated meeting place in the following order: 1. Aradhana, 2. Chandrima, 3. Deepika, 4. Heena and 5. Sumitra. Each of them spent at least Rs. 1000. The woman who spent Rs. 2234 arrived before the woman who spent Rs. 1193. One of them spent Rs. 1340 and she was not Deepika. One woman spent Rs. 1378 more than Chandrima. One of them spent Rs. 2517 and she was not Aradhana. Heena spent more than Deepika. Sumitra spent the largest amount and Chandrima the smallest.
- What was the amount spent by Heena?
A. Rs. 1193 B. Rs. 1340 C. Rs. 2234 D. Rs. 2517
- Which of the following amount is spent by one of the women?
A. Rs. 1139 B. Rs. 1378 C. Rs. 2571 D. Rs. 2518
- The lady who spent Rs. 1193 is:
A. Aradhana B. Chandrima C. Deepika D. Heena
Directions for questions 9 – 11: Answer the questions based on the following information.
In a motor race competition certain rules are given for the participants to follow. To control direction and speed of the motorists, guards are placed at different signal points with caps of different colour. Guard with red cap indicates the direction of participant‘s movement and guards with green cap indicates the speed of the participant‘s movement. At any signal point presence of three guards, two guards and one guard with red cap means the participant must stop, turn left and turn right respectively. Signal points with three guards, two guards and one guard with green cap means the participants must move at 10, 4 and 2 km/hour respectively.
Kartikay, one of the participants, starts at a point where his car was heading towards north and he encountered signals as follows: at start point one guard with green cap; after half an hour two guards with red cap and two guards with green cap at first signal; after fifteen minutes one guard with red cap at second signal; after half an hour one guard with red cap and three guards with green caps at third signal; after 24 minutes two guard with red cap and two guards with green cap at fourth signal; after 15 minutes three guard with red cap at fifth signal. (Time mentioned in each case is applicable after crossing the previous signal).
- Total distance travelled by Kartikay from starting point till last signal is:
A. 9 km. B. 10 km. C. 8 km. D. 12 km.
- What would be the final position of Kartikay if one guard with red cap and two guards with green caps were placed at the first signal point after the starting point?
A. 3.0 km to the west and 2.0 km to the south B. 3.0 km to the west and 4.0 km to the north C. 5.0 km to the east and 4.0 km to the north D. 2.0 km to the west and 4.0 km to the south
Directions for questions 16 – 17: Answer the questions based on the following information.
In each question below three statements (I, II, III) are given followed by four conclusions numbered 1, 2, 3 and 4. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts. Choose the correct options (A & D) presented below.
- Statements: I. Some drivers are technicians II. All technicians are engineers III. Some engineers are lecturers
Conclusions:
- Some technicians are lecturers
- Some lecturers are drivers
- All engineers are technicians
- Some engineers are drivers
A. Only 3 follows B. Only 4 follows C. Only 3 and 4 follows D. None of the above
- Statements: I. Some barbers are fashion designers II. No fashion designers are businessmen III. Some businessmen are traders
Conclusions:
- No Fashion designers are traders
- Some traders are not fashion designers
- Some fashion designers are traders
- Some barbers are not businessmen
A. Either 1, 2 and 4 or 3, 2 and 4 follow B. Either 1 and 4 or 3 and 4 follow C. Either 1 and 2 or 3 and 2 follow D. None of the above
- Pointing to Priya, father of Pritu says, ―She is the daughter of the daughter of the wife of the only son of the grandfather of my sister.‖ How is Sushma related to Priya if Sushma is the sister of Pritu?
A. Mother B. Aunt C. Niece D. None of the above
Directions for questions 19 – 20: Answer the questions based on the following information.
To get admission in a management course at Dadhichi Institute of Management (DIM) following criteria are given. A candidate must:
- be a graduate from a recognized university with minimum 54 percent marks.
- not be more than 33 years of age as on 1.4.2008.
- have secured 60 percent or more marks in the entrance test.
- pay one-time deposit fee of Rs. 2,00,000 at time of admission.
- pay tuition fee of Rs.4,000 per month.
Any candidate who fails to fulfill the condition (4) at above, he/she may be referred to the chairman- admission. Any candidate who has scored 80 percent mark in the entrance test but does not fulfill the condition (1) at above, he/she may be referred to the director. Any candidate having work experience of at least 10 years in supervisory cadre and does not satisfy the condition (2) at above, he/she may be admitted under sponsored quota.
Given the above information and condition in each of the following questions, you have to decide which of the following course of action should be taken. You should not assume anything in case of any of the candidates. Mark answer
I. if the candidate is admitted II. if the candidate is not admitted III. if the candidate is referred to the director IV. if the candidate is referred to the chairman-admission V. if the candidate is admitted under sponsor quota
- Kamaljeet secured 60 percent marks in graduation and was born on 15th April 1976. He scored 56 percent marks in the entrance test. He can pay one-time deposit of Rs. 2,00,000 and monthly tuition fee of Rs. 4,000.
A. I B. II C. III D. IV
- Gourav is a first-class science graduate who obtained 81 percent marks in the entrance test. He has 12 years of work experience in supervisory cadre. He can pay the stipulated one-time deposit and monthly tuition fees. His date of birth is 20th October, 1970.
A. I B. IV C. III D. V
- Rakesh Mohan, the director of film Ek Bar Achanak , has successfully completed a 2-years course at Satyajit Ray Film & Television Institute. The 150-minute film was produced at rupees 4.85 crore. It has approved by the censor board of India and submitted to NFDC on 30th Nov. 2007.
A. I B. III C. IV D. II
Directions for the questions 24 – 27: Answer the questions based on the following information.
A number arrangement machine, when given a particular input, rearranges it following a particular rule. Illustrations of the input and the steps of arrangement is given below.
Input: 245, 316, 436, 519, 868, 710, 689
Step 1: 710, 316, 436, 519, 868, 245, 689 Step 2: 710, 316, 245, 519, 868, 436, 689 Step 3: 710, 316, 245, 436, 868, 519, 689 Step 4: 710, 316, 245, 436, 519, 868, 689 Step 4 is the last step for the given input
- If the input is given as ―655, 436, 764, 799, 977, 572, 333‖, which of the following step will be ―333, 436, 572, 655, 977, 764, 799‖?
A. Step Third B. Step Second C. Step Fourth D. None of the above
- How many steps will be required to get the final output from the following input? Input: 544, 653, 325, 688, 461, 231, 857
A. 6 B. 5 C. 4 D. None of the above
- Step third for an input is ―432, 433, 542, 666, 734, 355, 574‖ What will be the first step for the input?
A. 666, 542, 432, 734, 433, 574, 355 B. 542, 666, 734, 432, 433, 574, 355 C. 355, 574, 433, 432, 734, 666, 542 D. Cannot be determined
- What will be the third step for the following input? Input: 653, 963, 754, 345, 364, 861, 541
A. 541, 345, 754, 963, 364, 816, 653 B. 541, 345, 364, 653, 963, 754, 861 C. 541, 345, 364, 963, 754, 861, 653 D. 541, 345, 364, 653, 861, 754, 963
Directions for the questions 28 – 30: Answer the questions based on the following information.
A wood arrangement machine, when given a particular input, rearranges it following a particular rule. Following is the illustration of the input and the steps of arrangement:
Input: She was interested in doing art film Step 1: art she was interested in doing film Step 2: art was she interested in doing film Step 3: art was in she interested doing film Step 4: art was in film she interested doing Step 5: art was in film doing she interested
Step 5 is the last step of the given input. Now study the logic and rules followed in the above steps, find out appropriate step for the question given below for the given input.
- Which of the following will be the last step for the input given below? Input: he is going out to search air
A. out is air to going search he B. out is air to search going he C. search he out is air to going D. None of the above
- If step 2 of an input is not ―not is the casino considering legal action‖, which step is: ―not is casino action legal the considering‖?
A. Step: 3 B. Step: 6 C. Step: 4 D. None of the above
- How many steps will be required to get the final output from the following input? Input: Father needs to check on the boy
A. Four B. Five C. Six D. None of the above
SECTION - 2
- DSBO Company produces Z units of output at a total cost of Rs. R, where
attain its minimum?
A. 20 B. 33 C. 25 D. None of the above
- If H 1 , H 2 , H 3 , ……, Hn, are n Harmonic means between ‗a‘ and ‗b‘ (≠ a), then
A. n + 1 B. 2n C. 2n + 3 D. n – 1
- If n + 2C 8 :n – 2P 4 = 57 : 16, then n =
A. 20 B. 22 C. 15 D. None of the above
- Suppose a, b and c are in Arithmetic Progression and a^2 , b^2 and c^2 are in Geometric
- If three positive real numbers a, b and c (c > a) are in Harmonic Progression, then Log ( a + c ) + Log ( a
A. 2 log (c – b) B. 2 log (a – c) C. 2 log (c – a) D. Log a + Log b + Log c
- Sum of the series 1^2 – 2^2 + 3^2 – 4^2 + ……..+ 2001^2 – 2002^2 + 2003^2 is:
A. 2007006 B. 1005004 C. 200506 D. None of the above
- The number of ways in which a mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game is:
A. 1514 B. 1512 C. 3024 D. None of the above
- The interior angles of a polygon are in Arithmetic Progression. If the smallest angle is 120º and common difference is 5º, then number of sides in the polygon is:
A. 7 B. 8 C. 9 D. None of the above
- A ladder 25 meters long is placed against a wall with its foot 7 meters away from the foot of the wall. How far should the foot be drawn out so that the top of the ladder may come down by half the distance of the total distance if the foot is drawn out?
A. 6 meters B. 8 meters C. 8.75 meters D. None of the above
A. 0.
B. 0.
C. 0.
D. None of the above
- A spiral is made up of 13 successive semicircles, with center alternatively at A and B, starting with center at A. the radii of semicircles, thus developed are 0.5 cm, 1.0 cm, 1.5 cm, and 2.0 cm and so on. The total length of the spiral is:
A. 144 cm B. 143 cm C. 174 cm D. None of the above
- The mean salary in ICM LTD. was Rs. 1500, 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:
A. 460 B. 480 C. 580 D. None of the above
- 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:
A. 47 B. 25 C. 21 D. None of the above
- The game of ―chuck-a-luck‖ is played at carnivals in some parts of Europe. Its rules are as follows: if u 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:
A. 0. B. 0. C. 0. D. None of the above
Directions for questions 52 – 54: Answer the questions based on the following information.
Rajat is sales manager of Dubin Computers Ltd. and looks after Delhi market. The company sells laptops in India. He is currently trying to select a distributor for coming five years. The distributor ensures that the products are accessible to the customers in the market. Market share of a company depends on the coverage by the distributor.
The total profit potential of the entire laptop market in Delhi is Rs. 5 crores in the current year and present value of next four years‘ cumulative profit potential is Rs. 15 crores.
The first choice for Rajat is to enter into long-term contract with a distributor M/s Jagan with whom Dubin has done business in the past, and whose distribution system reaches 55 percent of all potential customers. At the last moment, however, a colleague suggests Rajat to consider signing a one-year contract with other distributors. Distributors M/s Bola and M/s James are willing to be partner with Dubin. Although a year ago M/s Bola‘s and M/s James‘s coverage reached only 40 and 25 percent of customers respectively, they claim to have invested heavily in distribution resources and now expect to be able to reach 60 percent and 75 percent of customers respectively. The probability of M/s Bola‘s claim and M/s James‘s claim to be true is 0.60 and 0.20 respectively. The knowledge about distributors‘ coverage will evolve over time. The assumption is that the true level of coverage offered by the new distributors could be discovered, with certainty, through a one-year trail, and this trail will reveal exactly one of the two levels of coverage: for example in case of M/s Bola – 40 percent (as it was last year) or 60 percent (as claimed). In addition, it is also assumed that whatever the coverage is for both distributors, it will not change over time. Rajat narrows down on three choices, which are as follows:
Choice 1. Give a five year contract to the familiar distributor M/s Jagan Choice 2. Give a one year contract to the new distributor M/s Bola, and base next year‘s decision to renew contract with M/s Bola on observed coverage for next four years contract with M/s Jagan. Choice 3. Give a one-year contract to the new distributor M/s James, and base next year‘s decision to renew contract with M/s James on observed coverage for next four years contract with M/s Jagan.
- The expected present value of the five years cumulative profit with choice 3 is:
A. Rs. 12.7 crores B. Rs. 10.6 crores C. Rs. 11.7 crores D. None of the above
A. Tan x = 1 B. Tan 2x = 1 C. Tan 3x = 1 D. None of the above
- If D is the midpoint of side BC of a triangle ABC and AD is the perpendicular to AC then:
A. 3AC^2 = BC^2 – AB^2 B. 3BC^2 = AC^2 – 3AB^2 C. BC^2 + AC^2 = 5AB^2 D. None of the above
- A cylinder, a hemisphere and a cone stand on the same base and have the same heights. The ratio of the areas of their curved surface is:
A. 2 : 2 : 1 B. 2 : √2 : 1 C. √2 : 3 : 1 D. None of the above
SECTION - 3
Directions for questions 60 – 65: Answer the questions based on the following table.
Growth Trend in Rail Wagons Year Total Covered Open Open Depart- Special Total Average Wagons wagons High sided wagons
Low sided wagons
mental wagons
type wagons
wagon capacity
wagon capacity
Number Number Number Number Number Number (Million Tones)
(Tonnes)
1993 337562 157581 105469 12221 12009 50282 1994 312405 138642 101160 11922 11473 49208 1995 291360 121946 98795 11507 11185 47927 1996 280791 114065 98297 11196 11008 46225 1997 272127 106634 98906 10601 10645 45341
2000 234397 2001 222193 2002 216717
2003 214760 2004 227752 2005 222379
Find the TRUE Statement:
A. The number of covered wagons expressed as a percentage of total wagons declined consistently from 1993 to 2002, but increased marginally in 2003 as compared to the previous year level. B. The special type wagons expressed as a percentage of total wagons is maximum during 2003. C. The open high sided wagons expressed as a percentage of total wagons increased during 1994 to 2001, but declined from the 2001 level in 2002. D. None of the above.
- The special type wagons expressed as a percentage of total wagons were at almost same level during the following pair of years:
A. 1995 and 2001 B. 1998 and 2004 C. 2000 and 2002 D. 1993 and 1994
