Section 3:Past Years' Solved Questions from the IIFT

4.IIFT 2008



Ans .

(a) 1st prize: Rahman (Leelavati), 2nd prize: Binod (Columbus), 3rd prize: Badal (Lancer) and (c) 1st prize: Rahman (Leelavati), 2nd prize: Badal (Lancer), 3rd prize: Binod (Columbus)


  1. Explanation :

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Ans .

(b) 3000 packets


  1. Explanation :

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Ans .

(b) 36


  1. Explanation :

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Directions for Questions 4 and 5:

Answer the questions based on the following information. The 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.


Ans .

(b) Prof. Chaudhury - HRM, Prof. Das - Psychology, Prof. Acharya - Development Studies, Prof. Banik - Trade Policy, Prof. Eswar - Finance


  1. Explanation :

    Solutions for Questions 4 and 5: In this situation, we essentially have to understand each of the constraints and check whether the constraints are being met by the option. The constraints in the problem can get identified as follows from what is stated in the question:
    CONSTRAINT 1: The statement "Prof.Fotedar does not get an assignment if Prof. Das gets one" should be interpreted as-we can give an assignment to either Das or Fotedar and not to both. This also means that of the 6 people, since we have to provide an assignment to 5, the one to be left out has to be either Das or Fotedar.
    Thus, Acharya, Banik, Chaudhary and Eswar must always be selected for an assignment.
    CONSTRAINT 2: We also know that Chaudhary has to be given either HRM or Finance.
    CONSTRAINT 3: The other constraint in the problem is that if we give an assignment to Das (from either Trade Policy or Psychology), Banik should get the other one. Once we realise these points we can solve the questions individually.

    4. The first option fails as it gives us a situation where Chaudhary gets Development Studieswhereas we know that he has to be given either HRM or Finance.
    The second option satisfies all conditions while the third one fails as it gives both Das as well as Fotedar an assignment.
    The fourth option is also wrong as Chaudhary does not get either HRM or Finance. Thus, Option (b) is correct.





Ans .

(d) Prof. Banik - Development Studies, Prof. Das - Trade Policy


  1. Explanation :

    Clearly the option (d) is incorrect as it gives Das Trade Policy but it does not give Banik Psychology



Directions for Questions 6 to 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` 1000. The woman who spent ` 2234 arrived before the woman who spent ` 1193. One of them spent ` 1340 and she was not Deepika. One woman spent` 1378 more than Chandrima. One of them spent` 2517 and she was not Aradhana. Heena spent more than Deepika. Sumitra spent the largest amount and Chandrima the smallest.


Ans .

(b) 1340


  1. Explanation :

    Solutions for Questions 6 to 8:
    From the given information it is clear that four numbers which must have been the values of money spent would be: 2517 (clue 4), 2234 (clue 1), 1340 (clue 2) and 1193 (clue 1 again). We need to work out the fifth value.
    Also, since Chandrima is the least and Sumitra is the max and since one woman spent 1378 more than Chandrima a little bit of introspection will give you the following possibilities for the five numbers: Possibility 1: If 1193 is the least value A The five numbers are:
    1193, 1340, 2234, 2517 and 2571 (since 2571 = 1193 + 1378)
    Possibility 2: If 2517 is the maximum value
    1139 (since 1139=2517 - 1378), 1193, 1340, 2234 and 2517 Accordingly we have the following possible arrangements for the five women and the amount they spent:
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    (b) Heena spent ` 1340.





Ans .

(a) 1139


  1. Explanation :

    (a) ` 1139





Ans .

(c) Deepika


  1. Explanation :

    (c) Deepika



Directions for Questions 9 to 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. The guard with red cap indicate 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 the 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 the third signal; after 24 minutes two guards with red cap and two guards with green cap at fourth signal; after 15 minutes three guards with red cap at fifth signal. (Time mentioned in each case is applicable after crossing the previous signal).


Ans .

(a) 9 km


  1. Explanation :

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Ans .

(a) 3 km to the west and 2 km to the south


  1. Explanation :

    If the first signal had 1 guard with red cap and 2 guards with green cap he would need to turn right at the first signal. His speed for this part of the journey would not get affected. Also, it would not affect his subsequent turns and his subsequent distances too. His journey path would look as below and it can be clearly seen that he would be 3 km west and 2 km south at the end of his journey
    IIFT 2008





Ans .

(c) 3 km to the west and 4 km to the south


  1. Explanation :

    If he were heading south the figure would change from the figure in the 9 th question and it would just be the inverse of the figure in the 9 th question, i.e. everytime he is moving north in the figure for the 9 th question he would move south for this question and every time he is moving east he would now be moving west. Also, every time he is moving west he would now be moving east.
    Hence, the final result would also be the opposite of the final position in question 9. In the figure for question 9 it can be seen that Kartikay ends up 4 km north and 3 km east. Hence, for this question his final position would be 3 km west and 4 km south. Option (c) is correct.



Directions for Questions 12 to 15:

Answer the questions based on the following information. Mr. Mansingh has five sons - Arun, Mahi, Rohit, Nilesh and Saurav, and three daughters - Tamanna, Kuntala and Janaki. Three sons of Mr. Mansingh were born first followed by two daughters. Saurav is the eldest child and Janki is the youngest. Three of the children are studying at Trinity School and three are studying at St. Stefan. Tamanna and Rohit study at St. Stefan school. Kuntala, the eldest daughter, plays chess. Mansorover school offers cricket only, while Trinity school offers chess. Besides these the schools offer no other games. The children who are at Mansorover school have been born in succession. Mahi and Nilesh are cricketers while Arun plays football. Rohit who was born just before Janki, plays hockey.


Ans .

(c) 6th


  1. Explanation :

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Ans .

(a) Trinity


  1. Explanation :

    Saurav studies at Trinity. Option (a) is correct





Ans .

(d) Cannot be determined


  1. Explanation :

    Tamanna's game we cannot determine. Option (d) is correct.





Ans .

(b) Kuntala and Arun


  1. Explanation :

    Kunatala and Arun were not born in succession. Option (b) is correct



Directions for Questions 16 and 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 given below.



Ans .

(b) Only 4 follows


  1. Explanation :

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Ans .

(d) None of the above


  1. Explanation :

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Ans .

(d)None of the above


  1. Explanation :

    "Only son of the grandfather of my sister" - refers to my father. Hence, "wife of the only son" refers to "wife of father" which means "mother". Further, Priya being the daughter of the daughter of the mother, means that Priya is Pritu's mother's grand daughter. Also, since Pritu's sister is Sushma, it follows that Priya might be either the daughter of Pritu in which case Sushma would be Priya's aunt or otherwise Priya might be the daughter of Sushma in which case Sushma would be Priya's mother. Hence, the correct answer should be "either aunt or mother" and hence option (d) is correct.



Directions for Questions 19 and 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:
    1. be a graduate from a recognised university with minimum 54 percent marks.
    2. not be more than 33 years of age as on 1.4.2008.
    3. have secured 60 per cent or more marks in the entrance test.
    4. pay one-time deposit fee of ` 2,00,000 at time of admission.v 5. pay tuition fee of Rs.4,000 per month.
Any candidate who fails to fulfill condition (4) above, he/she may be referred to the ChairmanAdmission.
Any candidate who has scored 80 per cent marks in the entrance test but does not fulfill condition (1) above, he/she may be referred to the Director.
Any candidate having work experience of at least 10 years in supervisory cadre does not satisfy but condition (2) above, he/she may be admitted under the 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


Ans .

(b) II


  1. Explanation :

    Solutions for Questions 19 and 20: In order to solve these kinds of questions it is normally a good idea to put all the requirements for admission in the given situation in one place.
    The requirements in this case are:
    (i) Graduate with minimum 54% marks but this can be bypassed by getting 80% marks in the entrance test in such a situation the case may be referred to the Director.
    (ii) Not more than 33 years of age as on 1.4.2008 which can be bypassed if a candidate has at least 10 years of experience in the supervisory cadre;
    (iii) Scoring 60% or more marks in the entrance test is compulsory as it has no go around.
    (iv) Pay one time deposit fee-which can be bypassed as the case may be referred to the Chairman Admissions.
    (v) Pay tuition fee of ` 4000 per month (again something that cannot be bypassed). Thus conditions (iii) and (v) cannot be bypassed and are compulsory for any candidate else he would be rejected.

    19. Kamaljeet would not be admitted because he has failed the admission test and hence does not satisfy condition (iii). Option (b) is correct.





Ans .

(d) V


  1. Explanation :

    Gourav satisfies conditions 1, 3, 4 and 5. However, since he has a 12 year work experience he would be admitted under sponsor quota. Option (d) is correct.



Directions for Questions 21 to 23:

Read the following information and answer the questions given below it. For selection of films produced before December 2007 for the National Film Festival of India, following criteria are given.
    1. The film must be submitted to the National Film Development Corporation (NFDC) by 31.10.2007.
    2. The production cost of the film should not exceed Rupees Five crores.
    3. The director of the film should have passed a three year course either from the Film and Television Institute of India (FTII) or from Satyajit Ray Film & Television Institute.
    4. The length of the film should not exceed 150 minutes.
    5. The film must have been approved by the film censor board of India.
    6. However, if the film fulfils all the above criteria except
    (a) criteria 2 above, it must be sent to the Finance Secretary.
    (b) criteria 3 above, the director has done at least a one year course from FTII or Satyajit Ray Film & Television Institute, the film is kept as a stand-bye.
On the basis of the above information and information provided below, decide the course of action in each case. No further information is available. You are not to assume anything. Mark answer
    I. if the film is to be selected
    II. if the film is not to be selected
    III. if the film should be sent to the Finance Secretary
    IV. if the film should be kept as a stand-bye
    V. if the data given about the film are not adequate to make a decision


Ans .

(a) I


  1. Explanation :

    The film Dainandini obeys all the 5 criteria laid down for a film to be selected, i.e. it's been submitted in time; it's production cost is less than 5 crore; the director has passed a 3-year course from FTII;the length of the film is less than 150 minutes and the film has been approved by the Censor Board. Thus, the film should be selected. Option (a) is correct.





Ans .

(b) V


  1. Explanation :

    In this question, the film Bhadrasalam obeys criteria 1, 2, 4 and 5. However, we do not know whether the director of the film passed a three year course from the Satyajit Ray Film and Television Institute. We just know that he was a student of that institute. Hence, we do not have enough data to make a decision about the film. Option (b) is correct.





Ans .

(d) II


  1. Explanation :

    The film Ek Bar Achanak is to be rejected because it was submitted after the deadline of 31 st October 2007. Thus, option (d) is correct.



Directions for Questions 24 to 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 are 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.



Ans .

(a) Step 3


  1. Explanation :

    Solutions for Questions 24 to 27: From the analysis of the input-output of the given string it is evident that what the machine is doing is essentially placing the numbers in such an order that the sum of digits of the numbers is placed from minimum to maximum. Also, it does so by first placing the number with the least sum of digits in the first place by switching it's position with the first number in the string. The focus then shifts to put the number with the second least sum of digits in the second place and so on.
    Based on an understanding of this logic we can solve the questions that follow based on the same logic.

    24. 655,436,764,799,977,572,333 has sum of digits as 16,13,17,25,23,14,9. In the first step the string would become:
    655,436,764,799,977,572,333
    Step 1: 333,436,764,799,977,572,655
    Step 2: 333,436,572,799,977,764,655
    Step 3: 333,436,572,655,977,764,799
    which is the required string of numbers. Thus, the required step number is the third step





Ans .

(b) 5


  1. Explanation :

    544,653,325,688,461,231,857 can be seen as:
    13,14,10,22,11,6,20
    First step: 6,14,10,22,11,13,20
    Second step: 6,10,14,22,11,13,20
    Third step: 6,10,11,22,14,13,20
    Fourth step:6,10,11,13,14,22,20
    Fifth step: 6,10,11,13,14,20,22.





Ans .

(d) Cannot be determined


  1. Explanation :

    The logic of this situation is such that the third step for an input as mentioned can be possible due to any of many possible inputs. Hence, answering this question definitively is not possible. Note that the question has asked, "What will be the first step of the input?" as against "what could be the first step of the input?" in which case it could have been one of the options which could have been checked to give us a third step as defined in the question





Ans .

(b) 541, 345, 364, 653, 963, 754, 861


  1. Explanation :

    653,963,754,345,364,861,541 can be seen as 14,18,16,12,13,15,10 if we look at the sum of digits of the numbers. Then we have:
    INPUT: 14,18,16,12,13,15,10
    First Step: 10, 14,18,16,12,13,15
    Second step: 10,12, 14,18,16,13,15
    Third Step: 10,12,13, 14,18,16,15 which means 541,345,364,653,963,754,861.
    Option (b) is the correct answer.



Directions for Questions 28 to 30:

Answer the questions based on the following information. A word 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 and find out the appropriate step for the questions given below for the given input.



Ans .

(b) out is air to search going he


  1. Explanation :

    Solutions for Questions 28 to 30: A close inspection of what the word arrangement machine is doing tells us that since "She was interested in doing art film" gets converted to "art was in film doing she interested" it is essentially arranging the words on the basis of the 'reverse alphabetical order arrangement' of the last alphabets in each word of the word string. If you look at the final output "art was in film doing she interested" the last alphabets of the words follow the order: t-s-n-m-g-e-d and is the reverse alphabetical order of the last letters in each of the seven words. Also notice that the standard move of the machine is to just get the appropriate word in its place in the string by just displacing the incorrect word which stands in it's place. This is contrary to the previous question where the standard move of the machine was to interchange the wrong word with the right word's position. Based on this understanding of the logic of the word series we can then move towards solving questions 28 to 30.

    28. In the word string "he is going out to search air" the last alphabets are: e-s-g-t-o-h-r. Their reverse alphabetical order would be: t-s-r-o-h-g-e which means that the output string would be "out is air to search going he". Option (b) is the correct answer.





Ans .

(d) None of the above


  1. Explanation :

    Step 2 is "t-s-e-o-g-l-n" and we are asked to trace the step number for "t-s-o-n-l-e-g".
    Step 2: t-s-e-o-g-l-n;
    Step 3: t-s-o-e-g-l-n;
    Step 4: t-s-o-n-e-g-l;
    Step 5: t-s-o-n-l-e-g which means "not is casino action legal the considering".
    Thus the machine would reach the given situation in step 5 and hence option (d) is the correct answer





Ans .

(d) None of the above


  1. Explanation :

    "Father needs to check on the boy" can be looked at as
    Input: r-s-o-k-n-e-y (by looking at the last alphabet of each word in the given string). Now the objective of the machine is to put these letters in the reverse alphabetical order which means that the final output has to be: y-s-r-o-n-k-e.
    Then we have:
    Input: r-s-o-k-n-e-y
    Step 1: y-r-s-o-k-n-e
    Step 2: y-s-r-o-k-n-e
    Step 3:y-s-r-o-n-k-e.
    Thus it can be seen easily that the machine would take exactly 3 steps to reach the output required. Hence, option (d) is correct.





Ans .

(d) Eswar


  1. Explanation :

    Since the question is asking us to find out the thinnest person we can keep our processing focused on doing so; hence we concentrate on the fatter/thinner clues ignoring the taller/shorter clues.
    In terms of fatness/thinness, the following structures exist:
    D>E (from the first sentence in the question)
    Also, B>A>D (from the second sentence in the question)
    Combining the two we get: B>A>D>E
    The third sentence tells us that Eswar is thinner than Charu, who is thinner than Debu. This means D>C>E.
    Combining these we get:
    B>A>D>C>E
    Hence, Eswar is the thinnest.





Ans .

(b) Maternal uncle


  1. Explanation :

    IIFT 2008