LR - Arrangements - Previous Year CAT/MBA Questions
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R is a _________ by specialization and is Cardiologist’s __________
- (a)
Orthodontist, Sister
- (b)
Paediatrician, Daughter
- (c)
Urologist, Mother
- (d)
Urologist, Daughter
Answer: Option D
Text Explanation :
There are four males: father, mother’s brother and two sons. Similarly, there are four females: mother, father’s sister and two daughters.
Some of the data is directly given and can be tabulated as under:
The following points can be concluded from the table:
- V is the General Physician (as V comes before 1 p.m., but after the radiologist).
- The mother is the Gynaecologist (as the gynaecologist comes before lunch).
- R is the younger daughter.
The following points can now be added:
- Neurologist comes third after lunch (as Gynaecologist comes third before lunch) and Urologist comes second after lunch (as Neurologist is immediately after Urologist). Hence, R is the Urologist.
- Younger son, P, comes third after lunch (as mother comes third before lunch). Hence, P is the Neurologist.
- T (mother’s brother) comes between father and mother, while the father comes before the mother. Hence, Q is the father and T is the Radiologist.
Hence, the only person left i.e. W is the elder son and is the Orthodontist. U is the Paediatrician. The final combinations are as shown below:
R is a Urologist and is the daughter of Q (the Cardiologist).
Hence, option (d)
Workspace:
If lunch break and subsequent working hours are reduced by 15 minutes on Wednesday, then Doctor U who is _________ and Cardiologist’s __________ will reach the clinic at _______
- (a)
Radiologist, Sister, 3:15 pm
- (b)
Urologist, Daughter, 4:15 pm
- (c)
Paediatrician, Daughter 5:45 pm
- (d)
Paediatrician, Daughter, 4:15 pm
Answer: Option D
Text Explanation :
There are four males: father, mother’s brother and two sons. Similarly, there are four females: mother, father’s sister and two daughters.
Some of the data is directly given and can be tabulated as under:
The following points can be concluded from the table:
- V is the General Physician (as V comes before 1 p.m., but after the radiologist).
- The mother is the Gynaecologist (as the gynaecologist comes before lunch).
- R is the younger daughter.
The following points can now be added:
- Neurologist comes third after lunch (as Gynaecologist comes third before lunch) and Urologist comes second after lunch (as Neurologist is immediately after Urologist). Hence, R is the Urologist.
- Younger son, P, comes third after lunch (as mother comes third before lunch). Hence, P is the Neurologist.
- T (mother’s brother) comes between father and mother, while the father comes before the mother. Hence, Q is the father and T is the Radiologist.
Hence, the only person left i.e. W is the elder son and is the Orthodontist. U is the Paediatrician. The final combinations are as shown below:
U is a Paediatrician and is the daughter of the Cardiologist.
Hence, options 1 and 2 can be eliminated.
Originally, she used to reach at 5 p.m. Now she will reach before 5 p.m.
Hence, option (d).
Note:
U will actually reach at 4 p.m. and not 4:15 p.m. Hence, none of the answers is actually correct.
Workspace:
The management of the national daily newspaper Tomorrow Digest decides to enhance its subscriber base through major changes in the style, layout, design and content of the paper. In order to make the content more amenable to the mindset of the growing younger population of the country, the paper decides to appoint a number of young and promising Associate Editors. For facilitating the appointment process, several selection criteria were finalized and provided to the selection panel, which are noted in the following. It was noted that in order to get selected, the candidates are required to fulfil, in addition to I, at least three of the following conditions.
I. The age of the candidates must not be lower than 25 years, but should not cross 30 years.
II. The candidate has secured 60 percent and above at her / his Graduation level.
III. The candidate has obtained a Post Graduate Diploma in journalism with at least 55 percent marks.
IV. The candidate has gained working experience of a minimum period of 2 years in a daily newspaper with responsibility of regular writing assignments.
V. The candidate has been awarded at state-level for her / his articles published in state-level English daily.
If, however, it is observed that some candidates fulfil only two conditions from II-V, but does not fulfil:
a. V above, but he /she has already gathered an experience of 5 years in a news agency, the case of the candidate will be referred to the Managing Editor of Tomorrow Digest.
b. II above, but he /she holds a Post Graduate Diploma in journalism with 80 percent marks, the case of the candidate will be referred to the Chairman of Tomorrow Digest.
c. III above, but he /she has completed Graduation with 70 percent marks, the case of the candidate will be referred to the Editor of Tomorrow Digest.
All the information about a few candidates applying for the Associate Editor position provided in the following are dated on August 31, 2014. Based on the information furnished, decide in each case, which of the following course of action the selection panel should adopt, from the available options. You are not to assume any information.
Sarangsh Malhotra has graduated from Agra University with 66 percent marks and later has completed PG Diploma in Journalism from Indian Institute of Mass Communication, New Delhi with 71 percent. After completion of the PG Diploma programme, she joined Galaxy News at Jaipur on Christmas Eve in 2006. She received an award from the hands of the Governor of Rajasthan for her series of investigative articles on January 26, 2008, a day which coincided with her twenty-fifth birthday. During June next year, she joined in a corporate house and is working there since then.
- (a)
The candidate is to be selected
- (b)
The candidate is not to be selected
- (c)
The case of the candidate is to be referred to the Managing Editor
- (d)
The case of the candidate is to be referred to the Chairman
Answer: Option B
Text Explanation :
The Sarangsh’s 25th birthday was on January 26, 2008. Hence, his age on August 31, 2014 was 31.
Since, 25 ≤ Candidate’s Age ≤ 30, Sarangsh cannot be selected.
Hence, option (b).
Workspace:
Nalin Saxena graduated in Sociology Honours from Bangalore University with 61 percent marks, after which he joined an NGO for social work. After two years, he took migration and joined Mumbai University for the PG Diploma in Journalism Programme, and he secured 59 percent in the exam. He subsequently joined Ahmadabad Weekly magazine, which is published in English, in July 18, 2011, to write regular features on city life. He was born in June 1986, in the midst of the FIFA World Cup.
- (a)
The candidate is to be selected
- (b)
The candidate is not to be selected
- (c)
The case of the candidate is to be referred to the Chairman
- (d)
The case of the candidate is to be referred to the Editor
Answer: Option B
Text Explanation :
Nalin’s age is 28, which is acceptable. Hence, I is satisfied.
Since he scored 61% in graduation, II is satisfied.
He worked at an NGO for 2 years, which is not relevant experience.
He completed his PG diploma in Journalism with 59% marks. Hence, III is satisfied.
He then worked for Ahmadabad Weekly magazine for more than 3 years till August 2014. However, even this experience is not relevant as he was supposed to work for a newspaper and not a magazine.
It can be seen that he satisfied only 2 conditions from II – V.
He has not cleared V, nor does he have 5 years of experience in a news agency.
Hence, Nalin cannot be selected.
Hence, option (b).
Workspace:
Geetika Arora is working as a reporter on issues pertaining to international news events in the Indore-based English news daily The New Dawn since September 20, 2012. She was awarded by the Madhya Pradesh Newspapers Guild in 2013 for her series of articles on global climate change concerns. Geetika had graduated in Political Science from Udaipur University in 2010 with 58 percent marks. After graduation, she immediately joined Allahabad University and earned her Gold Medal in PG Diploma in Journalism by securing 82 percent marks two years later. While studying at Allahabad, she celebrated her twenty-fourth birthday.
- (a)
The candidate is to be selected
- (b)
The candidate is not to be selected
- (c)
The case of the candidate is to be referred to the Chairman
- (d)
The case of the candidate is to be referred to the Editor
Answer: Option C
Text Explanation :
Geetika celebrated her 24th birthday while she was studying at Allahabad i.e. between the years 2010 to 2012.
Her birthday can at most be in December 2012. If she celebrates her birthday in December 2012, her age in August 2014 is 25, which is acceptable.
Her birthday must be celebrated earliest by January 2010. Hence, her age in August 2014 will be 28, which is acceptable.
Hence, I is satisfied.
She scored 58% in graduation. Hence, II is not satisfied.
She scored 82% in PG diploma. Hence, III is satisfied.
She worked at an English news daily The New Dawn from September 2012. Hence, her work experience is 1 month short of the required 2 years of experience. Hence, IV is not satisfied.
Since she received a state-level award for her series of articles, V is satisfied.
2 out of (II-V) conditions are satisfied.
Since II is not satisfied, but she has 82% in PG Diploma in journalism, her case will be referred to the Chairman.
Hence, option (c).
Workspace:
Manjeet Tyagi was born on September 5, 1988 and completed his graduation in Economics from Garwal University with 68 percent marks in 2009. He subsequently completed his PG Diploma in Journalism from Punjab University in July 2010, but his marks dropped by ten percentage points vis-à-vis his graduation results. After completing PG degree, Manjeet immediately joined in a data analytics firm and worked there for one and half years as business analyst, after which he joined the Delhi-based English daily Financial Standard as a trade and industry expert for writing regular columns on these areas.
- (a)
The candidate is to be selected
- (b)
The candidate is not to be selected
- (c)
The case of the candidate is to be referred to the Managing Editor
- (d)
The case of the candidate is to be referred to the Editor
Answer: Option A
Text Explanation :
Manjeet was born on September 5, 1988. His age in August 2014 is 25. Hence, I is satisfied.
He scored 68% in graduation. Hence, II is satisfied.
He scored 10 percentage points less than what he scored in graduation in PG diploma i.e. 58%. Hence, III is satisfied.
Manjeet worked at a data analytics firm from July 2010 till January 2012.
Hence, from January 2012 to August 2014 i.e. for more than 2 years, he worked for an English daily Financial Standard.
Hence, IV is also satisfied.
Since 3 conditions other than I are satisfied.
Manjeet can be selected.
Hence, option (a).
Workspace:
Read the following passage and solve the questions based on it.In an. Engineering College, five students from five different cities were elected as Secretaries by the students to perform different student activities. Each student studies in a different branch of engineering. Additionally, the following information is provided:
i. Abhishek does not stay in the Aravalli hostel where the student from Nagpur stays.
ii. The student, whose name is not Abhishek and does not study in Metallurgy, stays in Satpura hostel. He is the only student among the five to stay at Satpura hostel
iii. Hardeep neither belongs to Jodhpur, nor does he study Mechanical Engineering.
iv. The student-in-charge of Cultural activity stays in the Aravalli hostel where Civil Engineering student does not stay.
v. Sanjoy and the student, who studies Metallurgy, both stay in the same hostel.
vi. The student who belongs to Allahabad does not stay with the student-in-charge of the Sports activity staying at Aravalli hostel.
vii. Sanjoy is not the student-in-charge of the Cultural activity.
viii. Ravi, the student-in-charge of Mess activity, stays at Satpura hostel.
ix. The student from Patna and the student, who studies Mechanical Engineering, both stay at Aravalli hostel. They are the only two among the five students to stay at this hostel.
x. The student, who stays at Satpura hostel, studies Computer Science.
xi. Hemant, who does not belong to Kochi, studies Chemical Engineering. He is not the General Secretary of the Student Body.
xii. Sanjoy does not belong to Allahabad.
xiii. The student from Kochi and the student-in-charge of Placement activity, both stay at the Vindhya hostel.
Which of the following statement(s) is (are) incorrect?
I. The Chemical Engineering student and the student-in-charge of Cultural activity, both stay in the same hostel.
II. The student in-charge of Placement activity is studying Metallurgy.
III. The student who belongs to Nagpur is the student-in-charge of Sports activity.
IV. Ravi belongs to Jodhpur.
- (a)
Only I
- (b)
Both I and II
- (c)
All of I, II and III
- (d)
None of the statements is incorrect
Answer: Option B
Text Explanation :
From (ii), (viii) and (x), it can be observed that Ravi studies Computer Science and is the student-in-charge of the Mess activity. He is the only student to stay at Satpura.
From (ix), it can be seen that two students stay at the Aravalli hostel. Hence, two students must also stay at the Vindhya hostel.
From (i) and (ix), it can be seen that students from Nagpur and Patna stay in Aravalli hostels. The student from Nagpur must study Mechanical Engineering.
From (xiii), the student from Kochi stays at Vindhya and the student-in charge of Placement must stay at Vindhya.
From (iv) and (vi), the students who are in-charge of Sports and Cultural activities stay at the Aravalli hostels. Also, the student from Allahabad does not stay with the student-in charge of the Cultural Activity. Hence, he must stay with the student who stays in Vindhya. From (xi), it is known that there is a General Secretary of the Student Body. The General Secretary must stay in the Vindhya hostel. From (xiii), it can be seen that the General Secretary is from Kochi.
The following table summarizes the above points,
Consider the student from Nagpur.
From (i), (iii) and (xi), Abhishek, Hemant and Hardeep do not stay at Nagpur.
It is known that Abhishek does not stay at Aravalli (From (i)). From (xi), Hemant studies Chemical Engineering. Hence, it cannot be Hemant. From (iii), Hardeep does not study Mechanical Engineering. Hence, it cannot be Hardeep as well.
Hence, only Sanjoy is from Nagpur.
From (vii), Sanjoy is not the in-charge of Cultural activity. Hence, he must be in charge of the Sports activity. From (v), Sanjoy stays with the student who studies Metallurgy. Hence, the student from Patna studies Metallurgy.
From (xi), Hemant is not from Kochi and studies Chemical Engineering. Hence, Hemant is the in-charge of the Placements. From (i), Abhishek is from Kochi and studies Civil Engineering.
Hence, Hardeep must study Metallurgy.
The final arrangement can be shown as follows,
From the above arrangement, it can be seen that statements I, II, III are incorrect.
Hence, option (b).
Workspace:
Which of the following statements is correct?
I. Sanjay and Abhishek stay at the same hostel
II. The General Secretary of the Student Body studies Mechanical Engineering.
III. The student who belongs to Patna is studying Metallurgy.
IV. The student who belongs to Kochi is studying Computer Science.
- (a)
Only I
- (b)
Only II
- (c)
Only III
- (d)
None of the statements is correct
Answer: Option C
Text Explanation :
From (ii), (viii) and (x), it can be observed that Ravi studies Computer Science and is the student-in-charge of the Mess activity. He is the only student to stay at Satpura.
From (ix), it can be seen that two students stay at the Aravalli hostel. Hence, two students must also stay at the Vindhya hostel.
From (i) and (ix), it can be seen that students from Nagpur and Patna stay in Aravalli hostels. The student from Nagpur must study Mechanical Engineering.
From (xiii), the student from Kochi stays at Vindhya and the student-in charge of Placement must stay at Vindhya.
From (iv) and (vi), the students who are in-charge of Sports and Cultural activities stay at the Aravalli hostels. Also, the student from Allahabad does not stay with the student-in charge of the Cultural Activity. Hence, he must stay with the student who stays in Vindhya. From (xi), it is known that there is a General Secretary of the Student Body. The General Secretary must stay in the Vindhya hostel. From (xiii), it can be seen that the General Secretary is from Kochi.
The following table summarizes the above points,
Consider the student from Nagpur.
From (i), (iii) and (xi), Abhishek, Hemant and Hardeep do not stay at Nagpur.
It is known that Abhishek does not stay at Aravalli (From (i)). From (xi), Hemant studies Chemical Engineering. Hence, it cannot be Hemant. From (iii), Hardeep does not study Mechanical Engineering. Hence, it cannot be Hardeep as well.
Hence, only Sanjoy is from Nagpur.
From (vii), Sanjoy is not the in-charge of Cultural activity. Hence, he must be in charge of the Sports activity. From (v), Sanjoy stays with the student who studies Metallurgy. Hence, the student from Patna studies Metallurgy.
From (xi), Hemant is not from Kochi and studies Chemical Engineering. Hence, Hemant is the in-charge of the Placements. From (i), Abhishek is from Kochi and studies Civil Engineering.
Hence, Hardeep must study Metallurgy.
The final arrangement can be shown as follows,
From the above arrangement, it can be seen that only statement III is correct.
Hence, option (c).
Workspace:
The student who belongs to Allahabad is studying in ______________.
- (a)
Metallurgy
- (b)
Mechanical Engineering
- (c)
Civil Engineering
- (d)
None of the above
Answer: Option D
Text Explanation :
The student from Allahabad is studying Chemical Engineering.
Hence, option (d).
Workspace:
The General Secretary of the Student Body belongs to:
- (a)
Patna
- (b)
Nagpur
- (c)
Kochi
- (d)
Jodhpur
Answer: Option C
Text Explanation :
The General Secretary belongs to Kochi.
Hence, option (c).
Workspace:
A word arrangement machine, when given a particular input, rearranges it following a particular rule upto step 4. The following is the illustration of the input and the steps of the arrangements. Study the inherent logic and the answer the following question.Input be the change you wish to see in this world
Step 1 the be you change to wish in see world this
Step 2 you be the change to world in see wish this
Step 3 you see the this to world in be wish change
Step 4 see you this the world to be in change wish
If the input is, don’t cry because it’s over smile since it actually happened’, then Step 4 will be:
- (a)
it’s since actually happened cry smile don’t it over because
- (b)
since cry it’s happened actually smile it don’t because over
- (c)
since it’s actually cry happened smile don’t it because over
- (d)
since it’s cry actually happened don’t smile it over because
Answer: Option C
Text Explanation :
The following pattern can be observed:
Step 1: The first two words of the input are swapped with each other. The next two are swapped and so on.
Step 2: Considering the sequence obtained after Step 1, the resulting sequence will have the following pattern:
change constant change constant constant change constant constant change constant
Once the constants have been determined, the first two words from the remaining words can be chosen and swapped with each other and so on.
Step 3: Considering the sequence obtained after Step 2, the resulting sequence will have the following pattern:
constant change constant change constant constant constant change constant change
It can be seen that only four words are changing. The first two words must be chosen and the last two words must be chosen. Both the pairs must now be swapped with each other.
Step 4: The first two words of the output from Step 3 are swapped with each other. The next two are swapped and so on.
Considering the input provided, the following output will be obtained:
Hence, option (c).
Workspace:
If Step 4 generates, ‘dog sea school star ice moon flower home rock ball’, then the input was:
- (a)
flower star rock sea ball moon dog home school ice
- (b)
rock flower sea ball dog star moon school home ice
- (c)
flower ball star sea rock dog moon ice home school
- (d)
star moon rock sea home flower ice ball dog school
Answer: Option A
Text Explanation :
Considering the pattern described in the previous solution, the following input can be obtained:
Hence, option (a).
Workspace:
Study the information below and answer the questions based on it:i. There are 5 persons in a group – P, Q, R, S and T.
ii. In this group, there is one badminton player, one chess player and one tennis player.
iii. P and S are unmarried ladies who do not play any games.
iv. No lady is either a chess player or a badminton player.
v. There is one married couple in this group of which T is the husband.
vi. Q is the brother of R and is neither a chess player nor a tennis player.
Which of the following groups has only ladies?
- (a)
PQR
- (b)
QRS
- (c)
RST
- (d)
None of the above
Answer: Option D
Text Explanation :
P and S are unmarried females. There is one couple and T is the husband. Also, Q is the brother of R. Thus, R has to be the wife of T. Neither among the options 1, 2, & 3 is a group of ladies.
Hence, option (d).
Workspace:
Who is the tennis player?
- (a)
Q
- (b)
R
- (c)
S
- (d)
T
Answer: Option B
Text Explanation :
Consider the solution to the first question. P and S are ladies and they don’t play any game. No lady is either a chess player or a badminton player. Since R is the third lady, she is the tennis player.
Hence, option (b).
Workspace:
Who is the wife of T?
- (a)
P
- (b)
S
- (c)
Q
- (d)
R
Answer: Option D
Text Explanation :
Consider the solution to the first question. R is the wife of T.
Hence, option (d).
Workspace:
Some information is provided in the paragraph below. Answer the questions based on this information.
A weekly television show routinely stars six actors, J, K, L, M, N and O. Since the show has been on the air for a long time, some of the actors are good friends and some do not get along at all. In an effort to keep peace, the director sees to it that friends work together and enemies do not. Also, as the actors have become more popular, some of them need time off to do other projects. To keep the schedule working, the director has a few things she must be aware of:
- J will only work on episodes on which M is working
- N will not work with K under any circumstances.
- M can only work every other week, in order to be free to film a movie.
- At least three of the actors must appear in every weekly episode.
In a show about L getting a job at the same company J already works for and K used to work for, all three actors will appear. Which of the following is true about the other actors who may appear?
- (a)
M, N and O must all appear.
- (b)
M may appear and N must appear.
- (c)
M must appear and O may appear.
- (d)
O may appear and N may appear.
Answer: Option C
Text Explanation :
L, J and K are appearing in this show. Since J is working in this episode so M will also be there. But since K is present in this show, N cannot be there. So M must appear and O may appear. We can eliminate options 1, 2 and 4.
Hence, option (c).
Workspace:
Next week, the show involves N’s new car and O’s new refrigerator. Which of the following is true about the actors who may appear?
- (a)
M, J, L and K all may appear.
- (b)
J, L, and K must appear.
- (c)
L and K must appear.
- (d)
Only L may appear.
Answer: Option D
Text Explanation :
In this show N is working so K will not be working. So we can eliminate options 1, 2 and 3.
Hence, option (d).
Workspace:
Answer the following question based on the information given below.
Era is in charge of seating the speakers at a table. In addition to the moderator, there will be a pilot, a writer, an attorney, and an explorer. The speakers’ names are Gaj, Hema, Jaya, Kumar, and Lalit
- The moderator must sit in the middle, in seat #3
- The attorney cannot sit next to the explorer
- Lalit is the pilot
- The writer and the attorney sit on either side of the moderator
- Hema, who is not the moderator, sits between Kumar and Jaya.
- The moderator does not sit next to Jaya or Lalit
- Gaj, who is attorney, sits in seat #4.
Who is moderator?
- (a)
Lalit
- (b)
Gaj
- (c)
Hema
- (d)
Kumar
Answer: Option D
Text Explanation :
The moderator is in seat 3 and Gaj, the attorney, is in seat 4. So, as the moderator has the writer and attorney on his sides, the writer is in seat 3.
The attorney is not next to the explorer. So the explorer is in seat 1 and hence the pilot is in seat 5.
Thus we have,
Hema is not the moderator and she sits between Kumar and Jaya. We can see from the table that Hema is the writer. The moderator is not Jaya so the moderator is Kumar.
We thus have:
From the above table, Kumar is the moderator.
Hence, option (d).
Workspace:
Where does Jaya Sit?
- (a)
seat #1
- (b)
seat #2
- (c)
seat #3
- (d)
seat #4
Answer: Option A
Text Explanation :
The moderator is in seat 3 and Gaj, the attorney, is in seat 4. So, as the moderator has the writer and attorney on his sides, the writer is in seat 3.
The attorney is not next to the explorer. So the explorer is in seat 1 and hence the pilot is in seat 5.
Thus we have,
Hema is not the moderator and she sits between Kumar and Jaya. We can see from the table that Hema is the writer. The moderator is not Jaya so the moderator is Kumar.
We thus have:
According to the table given in the answer to the first question of the set, Jaya sits on Seat 1.
Hence, option (a).
Workspace:
Answer the following question based on the information given below.
A number arrangement machine, when given a particular input, rearranges it using a particular rule. The following is the illustration and steps of the arrangement.
Arrangement at Step V is the last for the given input
What should be the fourth step of the following input?
64 326 187 87 118 432 219 348
- (a)
64 432 87 326 118 187 219 348
- (b)
64 432 87 348 326 187 118 219
- (c)
64 432 87 348 118 326 187 219
- (d)
None of the above
Answer: Option C
Text Explanation :
The output has the numbers arranged in the order:
smallest, largest, second smallest, second largest, third smallest, third largest and so on.
In the first step, the smallest number is moved to position 1 and the other numbers retain their relative positions.
In the second step, the largest number is moved to position 2 and the other numbers retain their positions.
This continues till the desired output is obtained.
The steps for the given input are:
Hence, option (c).
Workspace:
How many steps will be required to get the final output from the following input?
319 318 746 123 15 320 78 426
- (a)
Four
- (b)
Five
- (c)
Six
- (d)
Seven
Answer: Option D
Text Explanation :
∴ Seven steps are needed to get the final output.
Hence, option (d).
Workspace:
In a four-day period – Monday through Thursday – each of the following temporary office workers worked only one day, each a different day. Jai was scheduled to work on Monday, but he traded with Raj, who was originally scheduled to work on Wednesday. Farid traded with Kajal, who was originally scheduled to work on Thursday. Finally, Jai traded with Kajal. After all the switching was done, who worked on Tuesday?
- (a)
Jai
- (b)
Farid
- (c)
Raj
- (d)
Kajal
Answer: Option A
Text Explanation :
The final arrangement after all the exchanges will be as follows:
∴ Jai worked on Tuesday.
Hence, option (a).
Workspace:
Read the following paragraph and following conditions to answer the questions.
The Vice Chancellor of a University wants to select a team of five member organizing committee for the next convocation of the University to be held in March 2012. The committee members are to be selected from five shortlisted professors (Prof. Ahuja, Prof. Banerjee, Prof. Chakravarty, Prof. Das and Prof. Equbal) and four short listed students (Prakash, Queen, Ravi and Sushil). Some conditions for selection of the committee members are given below:
i. Prof. Ahuja and Sushil have to be together
ii. Prakash cannot be put with Ravi
iii. Prof. Das and Queen cannot go together
iv. Prof. Chakravarty and Prof. Equbal have to be selected
v. Ravi cannot be selected with Prof. Banerjee.
If two members of the committee are students and Prof. Das is one of the members of the committee, who are the other committee members?
- (a)
Prof. Banerjee, Prof. Chakravarty, Prakash and Queen
- (b)
Prof. Ahuja, Prof. Banerjee, Sushil and Prakash
- (c)
Prof. Chakravarty, Prof. Equbal, Prakash and Sushil
- (d)
None of the above
Answer: Option D
Text Explanation :
Prof. Das is one of the members.
Two other members are professors and two are students.
The two Professors have to be Prof. Equbal and Prof. Chakravarty.
Let us analyze the options.
Prof. Equbal is not present in option 1 and option 2 and hence it is not possible.
Prof. Ahuja and Sushil always go together so option 3 is also incorrect.
Hence, option (d).
Workspace:
In case Prof. Ahuja and Prof. Chakravarty are members, who are the other members who cannot be selected for the committee?
- (a)
Prof. Banerjee, Prof. Equbal and Sushil
- (b)
Prof. Equbal, Sushil and Prakash
- (c)
Prof. Equbal, Prakash and Queen
- (d)
None of the above
Answer: Option D
Text Explanation :
Prof. Ahuja and Prof. Chakravarty are members.
Note that in the three options, Prof. Equbal is present.
Prof. Equbal has to be selected in every committee.
Thus options 1, 2 and 3 are incorrect.
Hence, option (d).
Workspace:
Study the following information carefully and answer the questions.
A word arrangement machine, when given a particular input, rearranges it using a particular rule. The following is the illustration and the steps of the arrangement
INPUT: Smile Nile Style Mile Shine Wine Mine Swine Bovine Feline
STEP 1: Smile Nile Style Mile Shine Wine Bovine Feline Mine Swine
STEP 2: Style Mile Smile Nile Shine Wine Bovine Feline Mine Swine
STEP 3: Style Mile Smile Nile Wine Shine Bovine Feline Mine Swine
STEP 4: Mile Style Nile Smile Wine Shine Feline Bovine Swine Mine
STEP 5: Nile Smile Mile Style Wine Shine Swine Mine Feline Bovine
STEP 6: Nile Smile Mile Style Wine Shine Feline Bovine Swine Mine
STEP 7: Mile Style Nile Smile Wine Shine Feline Bovine Swine Mine
If the arrangement is repeated which of the steps given below is same as the INPUT row?
- (a)
Step 9
- (b)
Step 11
- (c)
Step 20
- (d)
Step 14
Answer: Option C
Text Explanation :
If we divide the given input into 5 groups with 2 words each then the groups can be written as:
Group 1: Smile Nile
Group 2: Style Mile
Group 3: Shine Wine
Group 4: Mine Swine
Group 5: Bovine Feline
Group numbers are given in the order in which they are given in that STEP.
Then the steps of rearrangement can be written as:
STEP 1: Position of group 4 is interchanged with position of group 5.
STEP 2: Position of group 1 in step 1 is interchanged with position of group 2.
STEP 3: Position of the words of group 3 in step 2 is interchanged.
STEP 4: Position of words of group 1, group 2, group 3 and group 5 are interchanged.
For example: If the words in group 1 in step 3 are Smile Nile then the words in group 1 of step 4 will be Nile Smile.
STEP 5: Position of group 1 is interchanged with position of group 2 and position of group 4 is interchanged with position of group 5.
STEP 6: Position of group 4 is interchanged with the position of group 5.
STEP 7: Position of group 1 is interchanged with the position of group 2.
∴ We can say that the algorithm of rearrangement repeats after 5 steps.
∴ STEP 8 for the given input will be:
STEP 8: Mile Style Nile Smile Shine Wine Feline Bovine Swine Mine
STEP 9: Style Mile Smile Nile Shine Wine Bovine Feline Mine Swine
STEP 10: Smile Nile Style Mile Shine Wine Mine Swine Bovine Feline
STEP 11: Smile Nile Style Mile Shine Wine Bovine Feline Mine Swine
STEP 12: Style Mile Smile Nile Shine Wine Bovine Feline Mine Swine
STEP 13: Style Mile Smile Nile Wine Shine Bovine Feline Mine Swine
STEP 14: Mile Style Nile Smile Wine Shine Feline Bovine Swine Mine
STEP 15: Nile Smile Mile Style Wine Shine Swine Mine Feline Bovine
STEP 16: Nile Smile Mile Style Wine Shine Feline Bovine Swine Mine
STEP 17: Mile Style Nile Smile Wine Shine Feline Bovine Swine Mine
STEP 18: Mile Style Nile Smile Shine Wine Feline Bovine Swine Mine
STEP 19: Style Mile Smile Nile Shine Wine Bovine Feline Mine Swine
STEP 20: Smile Nile Style Mile Shine Wine Mine Swine Bovine Feline
Referring the Steps given in the solution we get that,
STEP 20 is same as the given input.
Hence, option (c).
Workspace:
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