GAT-B Arts, Humanities and Social Science Analytical Online Test Preparation for Pakistani Students

Question # 1

Five ladies, Ayesha, Bano, Chandni, Durya, and Elina enter in a series of baking contests in which they are to place their Biryani dish to the judges. The series follows the rules of presentation given below: Bano places ahead of Chandni. Either Ayesha is first and Elina is last, or Elina is first and Ayesha is last. There are no ties in any contest. Everyone competes in each contest.
Q:If exactly one lady places between Ayesha and Bano, which of the following must be true?

Ayesha wins first place A
Elina wins first place B
Durya places third C
Bano places fourth D
Chandni places fourth E

Question # 2

Individual members from animal species are to be chosen from a special exhibit habitat.The eight species are A,B,C,D,E,F,G and H.Because of the way these animals interact,certain guidelines must be followed.Animals that will fight cannot be placed in the habitat together.Members of species G will fight with members of species D,E and F.A member of species C will fight with a member of species B,but only if a member of species G is present.If a member of species H is present,a member if species A will not fight with any animal.If a member of species No fights other than those described above will occur.If two habitats are setup,one containing members of species A,B,H and G,and the other containing members of species D,F,C and E,which animals could be switched one for the other without provoking any fights?

Species H and F A
Species B and C B
Species A and C C
Species G and D D
Species H and E E

Question # 3

In a room,six people,P,Q,R,S,M and N are seated about a round table.Every chair is placed equidistant from adjacent chairs.1.M is seated next to R.2.S is seated 3 seats from R.3.P is seated 2 seats from N.Q-Which of the following must be true?I.P must be seated next to Q.II.P must be seated next to S.III.M and Q are separated by one seat.

I only A
II only B
III only C
II and III only D
Neither I,II or III E

Question # 4

Nine athletes attend a sports banquet at Iqbal Stadium,Lahore.Three of the athletes--A,B and C--are varsity football players,two of the athletes---D and E--are varsity basketball players.The other four athletes--L,M,N,and O --belong to the hockey club.All nine athletes will be seated at three small tables,each seating three athletes.The athletes must be seated according to the following rules:L and A do not sit at the same table.M sits together with at least one of B or D.There can be at most only one football player at a table.There can be at most only one basketball player at a table.Q-Which of the following pairs will not sit with P?

A,D A
B,C B
B,D C
B,L D
C,D E

Question # 5

A carrier must deliver mail by making a stop at each of six buildings: S,T,U,V,W and X,Mail to be delivered are of two types,ordinary mail and priority mail.The delivery of both types of mail is subject to the following conditions:Regardless of the type of mail to be delivered mail to W and mail to X must be delivered,mail to W and mail to X must be delivered before mail to U is delivered,Regardless of the type of mail to be delivered,mail to T and mail to S must be delivered before mail to X is delivered.Mail to buildings receiving some priority mail must be delivered,as far as the above conditions permit,before mail to buildings receiving only ordinary mail.Q-If S is the only building receiving priority mail,which of the following lists the buildings in an order,from first through sixth,in which they can receive their mail?

T,S,W,X,V,U A
S,T,W,U,X,V B
S,T,W,U,X,V C
S,W,T,X,V,U D
V,S,T,W,X,U E

Question # 6

The office staff of a firm engaged in marketing of innovative gimmicks consists of three accountants--A, B, C and five secretaries-- D, E, F, G, H. The top management is planning to expand its market by opening a new setup in another city using two accountants and three secretaries of the present staff. To do so they plan to separate certain individuals who don't function well together. The following guidelines were established to set up the new office
I Accountants A and C cannot work together happily as A is a chain smoker and C is allergic to smoking and should not be sent together to the new office as a team
II C and E function well alone but quarrel when work together so, they should be sent to the new office as a team
Ill D and G have not been on speaking terms and shouldn't go together
IV Since D and F have been competing for promotion they shouldn't be a team.
Q: If C and F are switched to the new office, how many combination are possible

1 A
2 B
3 C
4 D

Question # 7

I All A's are B's
II All A's are C's or D's
III All C's and D's are A's
IV All E's are D's
V All G's are F's
VI No F's are A's
Q: If no P's are D's which of the following must be true

No P is an A A
No P is an B B
If any P is an B it is an A C
If any P is an A it is a C D

Question # 8

Two statements,labeled (1) and (2),follow each of the following given questions.The statements contain certain information in the question you do not actually have to compute an answer,rather than you have to decide whether the information given in the statements (1) and (2) is sufficient to find a correct answer by using basic mathematics and everyday fact?Q-What day of the week is today?1.Today is December 25.2 Amjad left Pakistan on Monday.

Statement 1.Alone is sufficient but 2. ALONE is not sufficient to answer this question. A
Statement 2.ALONE is sufficient but 1.ALONE is not sufficient to answer this question. B
Statements 1 and 2.TOGETHER are sufficient to answer the question but NEITHER of them is sufficient ALONE. C
Statements 1 and 2 COMBINED are not sufficient to answer the question and additional information is needed to find the correct answer. D

Question # 9

All good athletes want to win,and all athletes who want to win eat a well-balanced diet,therefore,all athletes who do not eat a well-balanced diet are bad athletes.Q-Which of the following if true,would refuse the assumptions of the argument above?

Fatima wants to win,but she is not a good athlete. A
Rizwan,the accountant,eats a well-balanced diet,but he is not a good athlete. B
All the players on the Zeeshan baseball team eat a well-balanced diet. C
No athlete who does not eat a well-balanced diet wants to win. D
Sonia,the basketball star,does not eat a well-balanced diet,but she is a good athlete. E

Question # 10

A city map representing roads M,N,O,P,Q and R.Link roads cannot have the same colour in the map.The roads link to each other are as under:Each M,N,P and Q has link to O.P has a link to Q.Each of M and N has a link to R.Which of the following roads can be the same colour as O on the map?

N A
P B
Q C
R D

Question # 11

Nine individuals - Z, Y, X, W, V, U, T, S and R are to serve on three committees labeled A, B and C. Each candidate should serve on exactly one of the committees. Committee A should consist of exactly one member more than that of committee B. It is possible that there are no members of committee C Among Z, Y and X none can serve on committee A. Among W, V and U none can serve on committee C. Among T, S and R none can serve on committee C.
Among the following combinations which could constitute the membership of committee C?

Y and T A
X and U B
Y, X and W C
W, V and U D
Z,X,U and R E

Question # 12

Each of the following problems has a question and two statements which labeled 1 and 2.Use the data given in 1 and 2 together with other information given in the statement,and find a correct answer by using basic mathematics and and everyday facts.Q-If M > N and O >P,then,M + O > N +P. Is S > T?1. S + A > T + B2. A > B

Statement 1.Alone is sufficient but 2. ALONE is not sufficient to answer this question. A
Statement 2.ALONE is sufficient but 1.ALONE is not sufficient to answer this question, B
Statements 1 and2.COMBINED are sufficient to answer the question but NEITHER of them is sufficient ALONE. C
Statements 1 and 2 COMBINED are not sufficient to answer the question and additional information is needed to find the correct answer. D

Question # 13

In a scout training institute, there are three categories strikers, defenders, and helpers. Eight scouts are selected from these categories for learning to follow two commands—"attack" And "revert." At least onescout is selected from one category. All female scouts in the group are defenders. The results of the first lesson are as follows: At least: two of the scouts have learned to follow the "attack': command, but not the "revert" command. At least two of the.scouts have. learned to follow the "revert" command, but not the "attack" command. At least one of the scouts has learned to follow both commands. Among the eight scouts, only helpers have learned to follow the "revert" command.
Q:Which of the following statements CANNOT be true?

The group includes more females than males A
The group includes fewer helpers than strikers B
The group includes more strikers than defenders C
More of the scouts have learned to revert than to attack D
More of the scouts have learned to attack than to revert E

Question # 14

Khan Fast Foods serves lunch Tuesday through Sunday.The restaurant is closed on Monday. Mutton karahi, chicken karachi, korma, fish fried, and vegetable are served each week based on the following conditions: Chicken karahi is served on three days each week, but never on Friday. Korma is served on one day each week.Fish fried is served on three days each week, but never on consecutive days. Chicken karahi and mutton karahi are both served on Saturday and Sunday.Vegetable is served five days each week.No more than three different foods are served on any given day.
Q: Which of the following is a list of the days on which chicken karahi and korma may both be served?

Tuesday, Thursday A
Tuesday, Wednesday, Thursday B
Monday,Tuesday,Wednesday C
Tuesday, Wednesday,Thursday, Friday D
Tuesday,Wednesday,Thursday, Saturday E

Question # 15

Multan Institute of Higher Studies plans to show five educational films A, B, C, D, and E to a group of students. The film shows are planned in an order, which conforms to the following conditions:
A must be shown earlier than C.
B must be shown earlier than D.
E should be the fifth film shown.
Q:Which among the following is a pair of films that CANNOT both be shown earlier than E?

A and B A
A and D B
B and C C
B and D D
C and D E

Question # 16

A builder will build five houses in New Housing Scheme on a street that currently has no house.The builder will select from seven different models of houses--L,M,N,O,P,Q and R The Development Authority has placed the following restrictions on the builder: No model can be selected for more than one house.Either model O must be select or model R must be selected,but both cannot be selected,If model Q is selected then model N cannot be selected.If model M is selected then model O cannot be selected.Q-If L,M and P are three of the models selected for the street,then which of the following must be the order two models selected?

N and O A
N and Q B
N and R C
O and Q D
Q and R E

Question # 17

Two statements, labeled X and Y, follow each of the following questions.The statements contain certain information.In the questions you do not actually have to compute an answer rather you have to decide whether the information given in the statement X and Y is sufficient to find a correct answer by using basic mathematicsand everyday facts.Q-A horse ran 80 miles without stopping.What was its average speed in miles per hour?

Statement X Alone is sufficient but Y.Alone is not sufficient to answer this question. A
Statement Y.Alone is sufficient but X.Alone is not sufficient to answer this question. B
Statements X and Y. TOGETHER are sufficient to answer the question but NEITHER of them is sufficient Alone. C
Statements X and Y COMBINED are nor sufficient to answer the question and additional information is needed to find the correct answer. D

Question # 18

In a scout training institute, there are three categories strikers, defenders, and helpers. Eight scouts are selected from these categories for learning to follow two commands—"attack" And "revert." At least one scout is selected from one category. All female scouts in the group are defenders. The results of the first lesson are as follows: At least: two of the scouts have learned to follow the "attack': command, but not the "revert" command. At least two of the.scouts have. learned to follow the "revert" command, but not the "attack" command. At least one of the scouts has learned to follow both commands. Among the eight scouts, only helpers have learned to follow the "revert" command.
Q:If each scout has learned to follow at least one of th,(wo,commands, all of the following must tote EXCEPT:

All defenders have learned to attack A
All strikers have learned to attack B
All helpers have learned to revert C
No defender has learned to revert D
No striker has learned to revert E

Question # 19

In a city, police commissioner planed to educate the citizens the traffic rules. He arranged a separate department and appointed senior staff members as instructors. Students in this class are required to meet the chief instructor once per term. The chief instructor offers meeting times on one day, one meeting time in the morning, one in the afternoon, and one in the evening. The students in the class this term are Farid, Gia, Hamid, Javed, Kamran, Lubna, Majeed, and Nargis. The meetings with the chief instructor must conform to the following conditions: The chief instructor will not meet with only one student at a time. The chief instructor must meet with at least one student in each of the available meeting times. ',arid and Javed cannot attend the same meeting. Kamran and Majced cannot attend the same meeting. If Gia attends the morning meeting, then Kamran must attend the evening meeting. If Javed attends the afternoon meeting, then Hamid must attend the afternoon meeting. The number of students who meet in the morning must be the same as the number of students who meet in the evening.
Q:If Gia meets in the morning and Lubna and Nargis meet in the evening, then how many different possible meetings could there be in the afternoon?

2 A
3 B
4 C
5 D
6 E

Question # 20

The accounts staff of the Mark corporation presently consists of three book-keepers (X,Y and Z) and five Data Entry Operators (M,N,O,P and Q) Management is planning to open a new office in another city sending three Data Entry Operators and two book-keepers from the present staff.To do so they plan to separate certain individuals who do not function well together.The following guidelines were established to set up the new office:(i) Book-keepers X and Z are constantly finding faults with one another therefore should not be sent together to the new office.(ii) Z and N function well alone but not as a team.They should be separated.(iii) M and P have not been on speaking terms for many months they should not go together.(iv) Since M and O have been competing for a promotion they should not be in one team.Based on the above information find the correct answers to the following questions:Q-If M is sent to the new office then which of the following is a possible team?

X Y M N P A
Y Z M O Q B
Y Z M N Q C
X Y M N Q D

Question # 21

In a computer data transfer-cable plant,cables are assembled by twisting plastic-coated wires together.There are wires of exactly six different solid colours---red,purple,pink,green,orange and book --wires must be assembled into single cables according to the following rules:Each cable must contain at least three wires and wires of at least three different colours.These cables are joined by the following rules:At most two wires in a single cable can be black.At most two wires in a single cable can be orange.There can be at most one wire of each of the other colours in a single cable.If one wire is red,then one wire must be purple.If one wire is pink,then no wire can be green.Q.Which of the following could be the complete set of wires in an acceptable cable?

A green wire,an orange wire,and a pink A
A pink wire,a black wire,and an orange wire. B
A red wire a black wire and a green wire. C
A purple wire and exactly two black wires. D
Exactly two black wires and exactly two orange wires E

Question # 22

The principal of a college is forming a committee.There are to be five members:three teachers,chosen from Mr A,Mr C, Mr.D, Mr E; and two students,chosen from L,M,N and O. The composition of the committee must conform the following conditions:Q-How many different committee could include Mr A and N?

1 A
2 B
3 C
4 D
5 E

Question # 23

Two or more tealeaves out of five varieties-- Livana, Mathia, Novajana, Oxia, and Piask are used in making all branded blends by a marketer following the rules given below. A brand containing Livana should also contain Novajana twice that of Livana. A brand containing Mathia must also have equal quantity of Oxia. A single brand never contains Novajana as well as Oxia. Oxia and Piask should not be used together. A blend containing Piask should contain it in such a proportion that the total amount of Piask present should be greater than the total amount of the other tea leaves.
Q: Among the following, the addition of which combination would make a brand containing two parts Novajana and one part Piask confromable with the conditions.

One part Livana A
One part Mathia B
Two parts Novajana C
One parts Oxia D
Two parts Piask E

Question # 24

In a scout training institute, there are three categories strikers, defenders, and helpers. Eight scouts are selected from these categories for learning to follow two commands—"attack" And "revert." At least one scout is selected from one category. All female scouts in the group are defenders. The results of the first lesson are as follows: At least: two of the scouts have learned to follow the "attack': command, but not the "revert" command. At least two of the.scouts have. learned to follow the "revert" command, but not the "attack" command. At least one of the scouts has learned to follow both commands. Among the eight scouts, only helpers have learned to follow the "revert" command.
Q:If four of the scouts are male and four of the scouts are female, all of the following must be true EXCEPT:

One of the scouts is a striker A
Four of the scouts are defenders B
Three of the scouts are helpers C
Three of the scouts have learned to revert D
Four of the scouts have learned to attack E

Question # 25

A Government College sports president wishes to select four members of a sports-wing committee as special representatives to meet the requirements of college's sports activities.The committee consists of eight members four of which (K,L,M and M) are sports teachers whereas the other four (P,Q,R andS) are students.The four representatives must consist of exactly two sports teachers and two students.Either K or L must be one of the representatives but K and L both cannot be the representatives.If P is a If R is a representative then L cannot be a representative.Q-If L is a representative then which of the following can be the other three representatives?

K,Q and S A
M,N and P B
M, P and Q C
N,p and S D

Question # 26

Four captains and the first mates of three of them were to attend the annual meeting at head quarters. The captains were Luqman, Manzoor, Nauman, and Osaf, the mates were Ayesha, Durya, and Gia. Each person in turn delivered a report to the chairperson as follows: Each of the first mates delivered their report exactly after captain. The first captain to speak was Manzoor, and in Nauman spoke after him. . present the person with first letter of his name)
Q:In case A is the third of the first mates to speak, and L is the captain whose first mate is not present, which among the following statements must be true?

A spoke sometime before L A
D spoke sometime before O B
L spoke sometime before O C
O spoke sometime before L D
O spoke sometimes before N E

Question # 27

A publisher chooses five articles to be published in the upcoming issue of an arts review.The only articles available for publication are theater articles L,M,N and O and dance articles W,X,Y,and Z.At least three of the fire published articles must be dance articles.If O is chosen,then Y Cannot be.If L is chosen,then O must also be chosen.Q-The choice of which article makes only one group of articles acceptable?

L A
M B
O C
X D
Y E

Question # 28

Which of the following is false i B and D can be both on odd-numbered steps in one configuration ii In a particular configuration A and C must either both an odd numbered steps or both an even-numbered steps iii A person E can be on a step next to the vacant step .
Q:Which of the following is false
i B and D can be both on odd-numbered steps in one configuration
ii In a particular configuration A and C must either both an odd numbered steps or both an even-numbered steps
iii A person E can be on a step next to the vacant step

i only A
ii only B
iii only C
both i and iii D

Question # 29

A builder will build five houses in New Housing Scheme on a street that currently has no house.The builder will select from seven different models of houses--L,M,N,O,P,Q and R The Development Authority has placed the following restrictions on the builder: No model can be selected for more than one house.Either model O must be select or model R must be selected,but both cannot be selected,If model Q is selected then model N cannot be selected.If model M is selected then model O cannot be selected.Q-If model M is one of the models selected for the street,then which of the following models must also be selected?

L A
O B
P C
Q D
R E

Question # 30

A school is introducing a new testing system.To test the system,three trainers (Latif,Mehak and Osaf) and three dogs (Lottie,Muts and Ony) are assigned to three different rooms,one trainer,and one dog per room.The Initial assignment is as follows:Room1 : Latif and LottieRoom2 : Mehak and MutsRoom3 : Osaf and OnyThe participants have learned five different commands,each of which they will execute as soon as the command is given.Command A requires the trainer in Room 1 to move to Room 2,the trainer in Room 2 to move to Room 3,and the trainer in Room 3 to move to Room 1.Command B requires the dogs in Room 1 and 2 to change places.Command C requires the dogs in Room 2 and 3 to change places.Command D requires the dogs in Room 3 and 1 to change places.Command E requires each of the dogs to go to the room containing the trainer it was matched with in the initial assignment.Q-If the participants in the initial assignment are given exactly one command,command A,which of the following will be true in the resulting arrangement?

Osaf and Muts will be in the same room. A
Mehak will be in room 3. B
Mehak and Lottie will be in the same room. C
Latif will be in Room 3. D

Sr.#	Question	Answer
1	Nine athletes attend a sports banquet at Iqbal Stadium,Lahore.Three of the athletes--A,B and C--are varsity football players,two of the athletes---D and E--are varsity basketball players.The other four athletes--L,M,N,and O --belong to the hockey club.All nine athletes will be seated at three small tables,each seating three athletes.The athletes must be seated according to the following rules:L and A do not sit at the same table.M sits together with at least one of B or D.There can be at most only one football player at a table.There can be at most only one basketball player at a table.Q-Which of the following pairs will not sit with P?	A. A,D B. B,C C. B,D D. B,L
2	Researchers have found an inactive virus in dry bread.In previous experiments,researchers found that inactivated viruses could convert healty cells into cancer cells.It can be concluded that the use of dry bread can casue cancer.Q-Which one of the following if true most seriously weakens the argument?	A. The result of many studies about the same topic were consistent. B. Many other ingredients dry bread can neutralize the effect of inactive virus. C. Many of cancer patients confirmed the use of dry bread. D. Ten percent of rural population use dry bread
3	Multan Institute of Higher Studies plans to show five educational films A, B, C, D, and E to a group of students. The film shows are planned in an order, which conforms to the following conditions: A must be shown earlier than C. B must be shown earlier than D. E should be the fifth film shown. Q:In case B, D and E are to be shown one after the other in the given order, the position from first to fifth in which A could possibly be shown is	A. first B. second C. third D. fourth
4	Multan Institute of Higher Studies plans to show five educational films A, B, C, D, and E to a group of students. The film shows are planned in an order, which conforms to the following conditions: A must be shown earlier than C. B must be shown earlier than D. E should be the fifth film shown. Q:In case, D is to be shown earlier than A, then for which of the following is exactly the one position from first through fifth in which it can be scheduled to be shown?	A. A B. B C. C D. D
5	In a scout training institute, there are three categories strikers, defenders, and helpers. Eight scouts are selected from these categories for learning to follow two commands—"attack" And "revert." At least one scout is selected from one category. All female scouts in the group are defenders. The results of the first lesson are as follows: At least: two of the scouts have learned to follow the "attack': command, but not the "revert" command. At least two of the.scouts have. learned to follow the "revert" command, but not the "attack" command. At least one of the scouts has learned to follow both commands. Among the eight scouts, only helpers have learned to follow the "revert" command. Q:If each scout has learned to follow at least one of the two commands, and if two of the scouts have teamed to attack but not revert, it could be true that:	A. two of the scouts are female B. all of the scouts are male C. only one male scout has learned to attack D. one female scout has learned to revert
6	In a city, police commissioner planed to educate the citizens the traffic rules. He arranged a separate department and appointed senior staff members as instructors. Students in this class are required to meet the chief instructor once per term. The chief instructor offers meeting times on one day, one meeting time in the morning, one in the afternoon, and one in the evening. The students in the class this term are Farid, Gia, Hamid, Javed, Kamran, Lubna, Majeed, and Nargis. The meetings with the chief instructor must conform to the following conditions: The chief instructor will not meet with only one student at a time. The chief instructor must meet with at least one student in each of the available meeting times. ',arid and Javed cannot attend the same meeting. Kamran and Majced cannot attend the same meeting. If Gia attends the morning meeting, then Kamran must attend the evening meeting. If Javed attends the afternoon meeting, then Hamid must attend the afternoon meeting. The number of students who meet in the morning must be the same as the number of students who meet in the evening. Q:If Gia and Lubna are the only students who meet in the morning, then which of the following CANNOT be true?	A. Farid meets in the evening B. Hamid meets in the afternoon C. Javed meets in the afternoon D. Nargis meets in the evening
7	Four captains and the first mates of three of them were to attend the annual meeting at head quarters. The captains were Luqman, Manzoor, Nauman, and Osaf, the mates were Ayesha, Durya, and Gia. Each person in turn delivered a report to the chairperson as follows: Each of the first mates delivered their report exactly after captain. The first captain to speak was Manzoor, and in Nauman spoke after him. . present the person with first letter of his name) Q: In Case A spoke immediately after L and immediately before O, and O was not the last speaker Lspoke	A. second B. third C. fourth D. sixth
8	On a factory control room, there are three ON-OFF switches on central control panel, labeled A,B, and C. They are changed from default setting to a required setting based on the following rules: In case only switch A is ON in the default setting, then turn switch BON.. In case switches A and B are the only switches ON in the default setting, then turn switch CON. In case all the three switches are ON,in default setting, then turn the switch C OFF. For any other default setting turn ON all switches that are OFF and turn OFF all switches,if any, that are ON. Q:In case only switch B is ON in the default setting, what must be the second setting?	A. AON,BON,CON B. AON,BON,COFF C. AOFF,BOFF,CON D. AOFF,BOFF,COFF
9	Five ladies, Ayesha, Bano, Chandni, Durya, and Elina enter in a series of baking contests in which they are to place their Biryani dish to the judges. The series follows the rules of presentation given below: Bano places ahead of Chandni. Either Ayesha is first and Elina is last, or Elina is first and Ayesha is last. There are no ties in any contest. Everyone competes in each contest. Q:If exactly one lady places between Ayesha and Bano, which of the following must be true?	A. Ayesha wins first place B. Elina wins first place C. Durya places third D. Bano places fourth
10	I All A's are B's II All A's are C's or D's III All C's and D's are A's IV All E's are D's V All G's are F's VI No F's are A's Q: If no P's are D's which of the following must be true	A. No P is an A B. No P is an B C. If any P is an B it is an A D. If any P is an A it is a C

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GAT-B Arts, Humanities & Social Science Analytical

I All A's are B'sII All A's are C's or D'sIII All C's and D's are A'sIV All E's are D'sV All G's are F'sVI No F's are A'sQ: If no P's are D's which of the following must be true

All good athletes want to win,and all athletes who want to win eat a well-balanced diet,therefore,all athletes who do not eat a well-balanced diet are bad athletes.Q-Which of the following if true,would refuse the assumptions of the argument above?

A city map representing roads M,N,O,P,Q and R.Link roads cannot have the same colour in the map.The roads link to each other are as under:Each M,N,P and Q has link to O.P has a link to Q.Each of M and N has a link to R.Which of the following roads can be the same colour as O on the map?

The principal of a college is forming a committee.There are to be five members:three teachers,chosen from Mr A,Mr C, Mr.D, Mr E; and two students,chosen from L,M,N and O. The composition of the committee must conform the following conditions:Q-How many different committee could include Mr A and N?

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I All A's are B's
II All A's are C's or D's
III All C's and D's are A's
IV All E's are D's
V All G's are F's
VI No F's are A's
Q: If no P's are D's which of the following must be true