Section 3:Past Years' Solved Questions from the IIFT

5.IIFT 2007

Q.1

Mr. Bedi's family members went on a picnic. There were two grandfathers and four fathers and two grandmothers and four mothers in the group. There was at least one grandson or a granddaughter present in this group. There were two husband-wife pairs in this group. The single grandfather (whose wife was not present) had two grandsons and a son present in the party. The single grandmother (whose husband was not present) had two granddaughters present. A grandfather or a grandmother present with their spouses did not have any grandson or granddaughter present.
What was the minimum number of people present in this picnic group?

(a) 14

(b) 10

(d) 16

Ans .

Explanation :

Directions for Questions 2 to 4:

I. Five girls-Seema, Reema, Neeta, Mona and Veena have total five tickets at movie theatres -Priya, Chanakya, M2K, PVR Saket, Satyam where movies-Gangster, Khiladi, Hero, Saalaam Namaste and Iqbal are currently playing. Each girl has one movie ticket of one of the five theatres.
II. The movie Gangster is running in Priya theatre whose ticket is not with Veena and Seema.
III. Mona had ticket of Iqbal movie.
IV. Neeta had ticket for the M2K theatre. Veena has the ticket of Satyam theatre where Khiladi is not running.
V. In PVR Saket theatre Saalaam Namaste is running.

Q.2

Which is the correct combination of the Theatre -Girl-Movie?

(a) M2K-Neeta-Hero

(b) Priya-Mona-Gangster

(d) PVR Saket-Seema-Saalaam Namaste

Ans .

(d) PVR Saket-Seema-Saalaam Namaste

Explanation :

Q.3

Which movie is running at Chanakya?

(a) Gangster

(b) Iqbal

(d) Data inadequate

Ans .

(b) Iqbal

Explanation :
Option (b) is correct.

Q.4

Who has the ticket for the movie Hero?

(a) Reema

(b) Veena

(d) Mona

Ans .

(b) Veena

Explanation :
Veena has the ticket to the Hero movie. Option (b) is correct.

Directions for Questions 5 to 7:

The director of a drama group has to assign different roles to two artistes -Paramjeet and Kamaljeet to play in a drama depending on four different symbols-@ for father, $ for wife, # for brother and * for daughter. There were four combinations decided by the director showing the following results. Answer the questions on the basis of results I, II, III, IV.
I. Paramjeet @ Kamaljeet stands for Paramjeet is father of Kamaljeet
II. Paramjeet $ Kamaljeet implies Paramjeet is the wife of Kamaljeet
III. Paramjeet # Kamaljeet stands for Paramjeet is brother of Kamaljeet
IV. Paramjeet * Kamaljeet stands for Paramjeet is daughter of Kamaljeet

Q.5

If Daljeet # Chiranjeet $ Baljeet, which of the following statements is true?

(a) Daljeet is the brother of Baljeet

(b) Daljeet is the father-in-law of Baljeet

(d) Daljeet is the brother-in-law of Baljeet

Ans .

(d) Daljeet is the brother-in-law of Baljeet

Explanation :
Daljeet # Chiranjeet $ Baljeet means Daljeet is the brother of Chiranjeet who is thewife of Baljeet. Obviously this means that Daljeet is the brother-in-law of Baljeet. Option (d) is correct.

Q.6

If Manjeet * Chiranjeet @ Daljeet @ Baljeet, which of the following is not true?

(a) Manjeet is the mother of Baljeet

(b) Chiranjeet is the grandfather of Baljeet

(d) Manjeet is the aunt of Baljeet

Ans .

(a) Manjeet is the mother of Baljeet

Explanation :
Manjeet * Chiranjeet @ Daljeet @ Baljeet shows us three relations. These are: Daljeet is the father of Baljeet. Chiranjeet is the father of Daljeet and Manjeet is the daughter of Chiranjeet. From these relationships we can confirm that the relations specified in options (b), (c) and (d) are true. Manjeet is the mother of Baljeet is the false statement as we can see that Manjeet being the daughter of Chiranjeet would be the sister of Daljeet. Hence, she is the aunt of Baljeet and not the mother. Option (a) is correct as we have to mark what is not true.

Q.7

If Abhijeet # Chiranjeet * Baljeet, which of the following is not true?

(a) Baljeet is the parent of Abhijeet

(b) Abhijeet and Chiranjeet are siblings

(d) Baljeet is the mother-in-law of Chiranjeet

Ans .

(d) Baljeet is the mother-in-law of Chiranjeet

Explanation :
Abhijeet # Chiranjeet * Baljeet means that Chiranjeet is Baljeet's daughter and Abhijeet being Chiranjeet's brother it also means that Abhijeet and Chiranjeet are the son and daughter of Baljeet. Option (d) is not true and since that is what we are looking for, we can conclude that option (d) is the correct answer.

Directions for Questions 8 to 11:

Each question consists of five statements followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument, that is, where the third statement is a conclusion drawn from the preceding two statements.

Q.8

(a) All universities appoint experienced teachers.
(b) Kashi Vidyapeeth appoints experienced teachers.
(c) Kashi Vidyapeeth is a university.
(d) Some universities employ experienced teachers.
(e) Kashi Vidyapeeth only appoints experienced teachers.

(a) ABC

(b) CDB

(d) ACE

Ans .

Explanation :
The statement string read in the order A-C-B is logical as, if all universities appoint experienced teachers and Kashi Vidyapeeth is a university it follows that Kashi Vidyapeeth appoints good teachers. Thus, option (c) is correct.

Q.9

(a) Migration of people augments housing problem in urban areas.
(b) Increase in housing problem in urban areas is detrimental to economic growth.
(c) Migration of people is detrimental to economic growth.
(d) Some migration does not cause increase in urban housing problem.
(e) Some migration is not detrimental to economic growth.

(a) CBA

(b) BDE

(d) BAC

Ans .

(d) BAC

Explanation :
The structure of the argument in B-A-C can be looked at as follows:
B: X causes Y; A: Z causes X; Hence, the conclusion in C: Z causes Y, is correct.
Note here in the context of the statements in the question:
X-Increase in housing problem;
Y- Detriment to economic growth;
Z- Migration of people
Hence, B-A-C is the valid logical structure in this case and hence option (d) is correct.

Q.10

(a) Some drivers are drug addicts.
(b) All drug addict drivers should be terminated.
(c) Driver Balbeer should be terminated.
(d) Driver Balbeer is a drug addict.
(e) Some drivers should be terminated.

(a) BAE

(b) BDE

(d) BAC

Ans .

(a) BAE

Explanation :
B-A-E is a valid logical argument. The conclusion should be "to terminate all those drivers who are drug addicts meaning that fraction of drivers who are drug addicts should be terminated. Option (a) is correct.

Q.11

(a) No officer is a teacher.
(b) Mr. Rangachary is not a teacher.
(c) Mr. Rangachary is an officer.
(d) Dr. Nandi is not an officer.
(e) Dr. Nandi is a teacher.

(a) ABE

(b) ABC

(d) ACB

Ans .

(d) ACB

Explanation :
A-C-B is a valid argument as, if Mr. Rangachary is an officer he would naturally not be a teacher, given that no officer is a teacher. Option (d) is correct

Q.12

If supervisor of the institute opened a room named Biswachakra and found that one item was a bag. Which of the following would definitely be correct ?

(a) the other item will be a bag

(b) the other item will not be a bag

(d) the other item is a computer

Ans .

(a) the other item will be a bag

Explanation :
The room Biswachakrak would not have it's original contents, viz.: one bag and one computer. Thus, if the supervisor opens the room and finds a bag, the room must necessarily contain two bags (as there are only 2 possible combinations of items that include a bag). Thus, the other item must be a bag. Option (a) is correct.

Q.13

If it is known that room named Purnachandra does not contain either any printer or any computer, the room named Pashupatti does not contain any printer and room named Chandrachud contains one computer and one bag, which of the following will definitely be true if only one of the remaining rooms is opened?

(a) It will have at least one computer and printer.

(b) It will have two printers.

(d) lt will have at least one printer

Ans .

(d) lt will have at least one printer

Explanation :
If Purnachandra does not contain any printer or computer, it can only mean that Purnachandra contains 2 bags. Further, since Chandrachud contains one computer and one bag AND Pashupatti does not contain any printers, it must necessarily follow that Pashupatti contains two computers. In this case, the table of room names and contents would look like:

Directions for Questions 14 to 17:

Answer the questions based on the following information. Four persons (l) Mohit, (2) Monohar, (3) Prasant and (4) Dinesh each had some initial money with them. They all were playing bridge in a way that the loser doubles the money of each of the other three persons from his share. They played four rounds and each person lost one round in the order 1, 2, 3 and 4 as mentioned above. At the end of the fourth round each person had ` 32000/-.

Q.14

What was the amount with Mohit to start with?

(a) ` 60000

(b) ` 34000

(d) ` 28000

Ans .

Explanation :
Mohit had ` 66000 to start with. Option (c) is correct.

Q.15

What was the amount with Monohar at the end of the first round?

(a) 68000

(b) 72000

(d) 80000

Ans .

(a) 68000

Explanation :
Monohar had ` 68000 at the end of the first round. Option (a) is correct.

Q.16

Who has the lowest amount at any round of play throughout the tournament?

(a) Mohit

(b) Monohar

(d) Dinesh

Ans .

(a) Mohit

Explanation :
Mohit had ` 4000 at the end of the first round and that is the lowest value throughout the tournament. Option (a) is correct.

Q.17

What was the amount with Prasant at the end of the second round?

(a) 36000

(b) 72000

(d) 68000

Ans .

(b) 72000

Explanation :
Prasant had ` 72000 at the end of the second round. Option (b) is correct.

Q.18

The VC (Vice-Chancellor) of a university has to select four professors, out of eight professors for a committee. The VC decided to select these four professors in such a manner that each selected professor has a habit common with at least one of the other three professors selected. The selected professors must also share at least one of the non-common habits of any of the other three professors selected.
Professor Arora likes surfing and smoking but hates gambling.
Professor Bhalla likes smoking and drinking but hates surfing.
Professor Chadha likes gambling but hates smoking.
Professor Dhyani likes movies but hates drinking.
Professor Eswar likes drinking but hates smoking and movie.
Professor Fazil likes surfing but hates smoking and movie.
Professor Goyal likes gambling and movies, but hates surfing.
Professor Hooda likes smoking and gambling but hates movies.
Who are the four professors selected by the VC for the committee?

(a) Prof. Chadha, Prof. Dhyani, Prof. Eswar, Prof. Goyal

(b) Prof. Arora, Prof. Bhalla, Prof. Eswar, Prof. Fazil

(d) Prof. Dhyani, Prof. Eswar, Prof. Fazil, Prof Hooda

Ans .

(b) Prof. Arora, Prof. Bhalla, Prof. Eswar, Prof. Fazil

Explanation :
The only combination amongst those given in the options that satisfies the given condition is the combination of Prof. Arora, Prof. Bhalla, Prof. Eswar and Prof. Fazil. In this combination of 4 professors, each professor has a habit which is common with at least 1 of the other three professors selected. Also, the selected professors can be seen to share at least one non-common habit of any of the other three professors selected. Option (b) is correct.

Directions for Questions 19 to 22:

While selecting candidates for positions of engineers, a software firm followed criteria as given below. A candidate must i. be an engineering graduate with at least 60% marks at degree and 80% marks at higher secondary level;
ii. have at least one year's experience of working;
iii. be ready to sign a bond of three years;
iv. must not be more than 28 years of age on 1.2.2007;
However, if a candidate fulfils all the criteria except- (a) at (i) above but has obtained 50% marks at degree and 70% at higher secondary respectively and has at least three years experience of working, the case may be referred to the Director of the firm.
(b) at (iii) above, but is willing to pay an amount of 1 lakh if required to leave, the case may be referred to the President of the firm.
(c) at (ii) above but is a computer engineer, the case may be referred to the DGM. Based on the above criteria and the information given in each of the following cases, you have to take the decision on employing a candidate. You are not to assume anything and in the absence of adequate information, choose option b (not to be selected). The case is given to you as on 1.2.2007. The options available for you are provided in a, b, c and d.

Q.19

Amar is a mechanical engineer with 65% marks at degree and 88% marks at HSC. He completed his engineering degree in 2003 at the age of 22 years and immediately started working in an engineering firm. He is keenly interested in going to USA and is not ready to sign a bond. However, he does not mind paying an amount of ` 1 lakh.

(a) The case is to be selected

(b) The case is not to be selected

(d) The case is to be referred to President

Ans .

(b) The case is not to be selected

Explanation :
Solutions for Questions 19 to 22:
The main criteria which need to be satisfied in this question is/are:
(i) engineering graduate with minimum 60% marks at degree and 80% marks at higher secondary; Has a bypass of referral to Director subject to the marks being 50% and 70% respectively and having a minimum 3 year experience.
(ii) Minimum 1 year experience; Has a bypass of referral to President if the candidate is willing to pay an amount of Rs.1 lakh if he is required to leave. This also has another bypass, i.e. of referral to the DGM if the candidate is a computer engineer.
(iii) Readiness to sign a 3 year bond; Has no bypass.
(iv) Must be 28 or below in terms of age on 1st February 2007. Has no bypass. Based on this understanding of the flow chart of selection/ rejection/ referral we can now move on to the individual questions in the set.
19. Amar should not be selected as he is not ready to sign a bond which is a compulsory clause. Option (b) is correct

Q.20

Rajkishore, a computer engineer, has just completed graduation in July 2006, at the age of 23 years obtaining 72% marks. He had obtained 92% marks in HSC. He is willing to sign a bond with the company. He had joined a software company and has been working as trainee in August 2006 and is working there till date.

(a) The case is to be selected

(b) The case is not to be selected

(d) The case is to be referred to the President

Ans .

(d) The case is to be referred to the President

Explanation :
The candidate Rajkishore meets criteria i, iii and iv. However, since he does not have a minimum of 1 year work experience he does not meet condition ii. In such a case he can be referred to the DGM as he is a computer engineer. Option (d) is correct.

Q.21

Madhuri is an electrical engineer and working as an assistant engineer for the past two years. She had secured 85% and 69% marks at HSC and degree respectively. She has just completed 25 years of age.

(a) The case is to be selected

(b) The case is not to be selected

(d) The case is to be referred to the President

Ans .

(b) The case is not to be selected

Explanation :
The question clearly states that in case some information is not available the candidate is not to be selected. In Madhuri's case we do not have information about her willingness to sign a bond and hence we should not select her. Option (b) is correct.

Q.22

Kamla is an engineering graduate with 66% marks at degree and 90% at HSC. She joined an engineering firm 2 years ago at the age of 24 years. She is ready to sign the bond.

(a) The case is to be selected

(b) The case is not to be selected

(d) The case is to be referred to President

Ans .

(a) The case is to be selected

Explanation :
Kamla should be selected as she meets each of the 4 criteria as per the original requirements of each criterion. Thus, option (a) is correct.

Directions for Questions 23 to 25:

Answer the questions on the basis of the information given below.
There was an effort to study the relative importance that beneficiaries of five states assigned to five different development programmes implemented by their governments. The programmes were Jawahar Rozgar Yojana (JRY), Indira Awas Yozna (IAY), Mid-Day Meal (MDM), Rural Health Mission (RHM), National Rural Employment Guarantee Scheme (NREG). The level of dissimilarity between two states is the maximum difference in the rank allotted by the two states to any five programmes. The following table indicates the rank order of the five programmes for each state.
IIFT 2007

Q.23

Which of the following states is least dissimilar to Orissa?

(a) Bihar

(b) Rajasthan

(d) Karnataka

Ans .

(a) Bihar

Explanation :
Solutions for Questions 23 to 25:
In order to solve this question, you need to be clear about what the level of dissimilarity means. As stated in the question set, the level of dissimilarity is the 'maximum difference of ranks' allotted by the two states to any of the five attributes.
Thus, for instance, if we look at the level of dissimilarity between Orissa and Rajasthan the rank given to IAY by Orissa is 5th and by Rajasthan is 1st. Hence, their level of dissimilarity is 4, as no other pair can have a level of dissimilarity higher than 4.

23. The level of dissimilarity between Orissa and Bihar is 2 as the maximum difference in ranks allotted is for MDM (2). Orissa and Rajasthan have a dissimilarity of 4, while Kerala and Karnataka have a dissimilarity of 3 with Orissa. Thus, Bihar is least dissimilar to Orissa and option (a) is correct.

Q.24

Which of the following states is most dissimilar to Orissa?

(a) Bihar

(b) Rajasthan

(d) Karnataka

Ans .

(b) Rajasthan

Explanation :
As already seen in the question above, Rajasthan has a dissimilarity of 4 with respect to Orissa and hence is the most dissimilar to Orissa. Option (b) is correct.

Q.25

Three of the following four pairs of states have identical levels of dissimilarity. Which is the odd one out?

(a) Kerala & Bihar

(b) Bihar & Karnataka

(d) Karnataka & Rajasthan

Ans .

Explanation :
Kerala and Bihar; Bihar and Karnataka AND Karnataka and Rajasthan have a dissimilarity of 4 each. Only the pair of Rajasthan and Kerala have a dissimilarity of 3 and hence this pair is the odd pair out of the four pairs. Option (c) is correct..

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