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

Question # 1

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 # 2

During 2006, from january through june,the Chairman of Physics Department will be on Sabbath.The Dean of college has asked each of the college six professors int he department---Akhter,Bilal,Chohan,Fraz,Hamid and Noman--to serve as acting chairman during one of these months.The physicists can decide the order in which they will serve,subject only to the following criteria established by the dean.i. Chohan will serve as chairman in February.ii.Akhter will serve as chairman before Hamid does.iii.Bilal and Fraz will serve as chairman in consecutive months.Q-Which of the following CANNOT be true?

Akhter and Noman serve in consecutive months A
Noman and Hamid serve in consecutive months B
Hamid and Fraz serve in consecutive months C
Akhter and Chohan serve in consecutive months D
Bilal and Chohan serve in consecutive months E

Question # 3

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: A majority of directors favored A to work as an accountant in the new office which of the following cannot be a possible working unit.

ABDEH A
ABDGH B
ABEFH C
ABEGH D

Question # 4

A private nationwide chain of colleges has arranged a series of five promotional seminars. The board of directors selected five professors - Prof. Akmal, Bukhari, Chishti, Dilawar, and Ejaz to attend the seminars subject to the following constraints:
If Prof. Akmal attends a seminar, then Prof. Dilawar does not attend it. If Prof. Bukhari attends a seminar, then either Prof. Chishti or Prof. Dilawar, but not both, attends it. If Prof. Chishti attends a seminar, then Prof. Ejaz does not attend it If Prof. Ejaz attends a seminar, then either Prof. Akmal or Prof. Bukhari, but not both, attends it.
Q:If Prof. Bukhari attends one of the seminars, then which one of the following could be a complete and accurate list of the other members of the college who also attend that seminar?

Prof. Akmal and Dilawar A
Prof. Akmal and Ejaz B
Profs. Chishti and Dilawar C
Prof.Dilawar D
Prof. Ejaz E

Question # 5

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 X is to be moved as one of the book-keepers,which of the following CANNOT be a possible working unit?

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

Question # 6

Plant P thrives in environments of great sunlight and very little moisture.Desert D is an environment with constant,powerful sunlight and next-to-no moisture.Although Plant P Thrives in the areas surrounding Desert D,it does not exist naturally in the desert,nor does it survive long when introduced there.Which of the following would be most useful in explaining the apparent discrepancy above?

For one week in the fall,Desert D gets consistent rainfall. A
The environment around Desert D is ideally suited to the needs of Plant P. B
Due to the lack of sufficient moisture,Desert D can support almost found in Desert D. C
Plant P cannot survive in temperatures as high as those normally found in Desert D. D
Desert D's climate is far too harsh for the animals that normally feed on Plant P. E

Question # 7

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 # 8

An English speaking class in a college has a circular table with eleven seats around it.Five girls (Fatima,Maryam,Iram,Sana and Amna)and five boys (Bilal,Najam,Hamza,Osama,Javed) are seated around the table.None of the girls are seated in a seat adjacent to another girl.Fatima sits between Bilal and Najam, and next to each of them javed does not sit next to Osama.Q-If Maryam,Hamza,Iram,Javed and Najam are seated in that order,which of the following is a correct completion of the seating order after Najam?

Fatima,Bilal,Sana,Osama,Amna,empty seats A
Fatima,Bilal,Osama,Sana,empty seat Amna B
Bilal,Amna,Fatima,Osama,Sana,empty seats C
Fatima,Bilal,Amna,Osama,empty seats,Sana D
Fatima,Bilal,Sana,empty seats,Amna,Osama E

Question # 9

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, which can be made agreeable by the eliminating some or all of one type of tealeaves?

One part Livana, one part Mathia, one part Novajania, four parts Piask A
One part Livana, two parts Novajana, one part Oxia, four parts Piask B
One part Livana, one part Mathia, one part Oxia, one part Piask C
Two parts Livana, two parts Novajana, one part Oxia, two parts Piask D

Question # 10

In a shopping mall, six steps lead from the first to the second floor. Four peoples A, B, C, and D are to go from first floor to the second floor following the rules given below. No two people can be on the same step. A is two steps below C. B is a step next to D. Only one-step is vacant (No one standing on that step). Denote the first step by step I and second step by step 2 etc.
Q: If E was on the third step and B was on a higher step than E which step must be vacant

step 1 A
step 2 B
step 4 C
step 5 D
step 6 E

Question # 11

Study of many events have shown that families who install smoke detectors and own fire extinguishers have a reduced risk of losing a child in a house fire.Therefore,no family who installs smoke detectors and owns a fire extinguisher will lose a child in a house fire.Q-Which of the following the best criticism of the argument does not?

It differentiate between the two cause of house fires:cooking and heating. A
Take into account that families who buy smoke detectors are also more likely to purchase fire insurance. B
Take into account the possibility of losing a child in a house fire despite all precautionary measures. C
Cite the fact that smoke detectors have proven to be effective in waking sleeping children during a house fire. D
Indicate that fire extinguishers are effective during early stage of fire. E

Question # 12

The primary evil of today's society is selfishness.People are concerned only with themselves.Personal advancement is the sole motivating force in our world.This is not to say that individuals are never willing to help one another,on the contrary,.............However,these are only short-term occurrences which ultimately serve our long-term goal of personal gain.Q-Which statement would most strongly contradict the author's attitude towards society?

Altruism is society's greatest strength. A
The forces of good will ultimately triumph over evil. B
Our short-term actions may ostensibly contradict our long-term goals C
We must all learn the art of selfishness. D
Morality is the bedrock of a growing community. E

Question # 13

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, C is shown earlier than E, which among the following will hold true?

A is the second film shown A
B is the second film shown B
C is the third film shown C
D is the fourth film shown D
E is the fourth film shown E

Question # 14

Many people do not read the books they purchase.For example seventeen percent of college students in Pakistan have textbooks,but only forty-five percent of them read more than once a year and only seventeen percent read more than once a week.Q-Which of the following if true costs doubt on the claim that most people read the books they purchase?

Readers often exaggerate about their book reading. A
The sale of novels is more than that of other types. B
Many people buy books to pretend themselves as a scholar. C
Regular book readers are most susceptible to eye diseases. D
Reading speed is increased by frequent readings. E

Question # 15

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.Q-If D,A and C are chosen for the habitat,which of the following must also be chosen?

H A
G B
F C
E D
B E

Question # 16

In a shopping mall, six steps lead from the first to the second floor. Four peoples A, B, C, and D are to go from first floor to the second floor following the rules given below. No two people can be on the same step. A is two steps below C. B is a step next to D. Only one-step is vacant (No one standing on that step). Denote the first step by step I and second step by step 2 etc.
Q: If A is one the first step, which of the following is true?

B is on the second step A
C is on the fourth step B
E could be on the third step C
D is on higher step than C D

Question # 17

Asif has refused to work hard for the exam preparation; therefore no more pocket money from his father should be provided to him.1.Which of the following is an assumption made in the argument above?

Asif is a dull student. A
Pocket money of his brother Rafaqit is more. B
Money has no importance in Asif's life. C
Asif like expensive coloured books. D
Asif is a greedy boym,and demand more money from his father. E

Question # 18

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-If there us an additional requirement that pink must be used if purple is used,which of the following must be true?

No cable contains fewer than six cables. A
Red is always used if pink is used. B
Black is used exactly once if purple is used. C
Green is never used if red is used. D
No cable contains more than five wires. E

Question # 19

A city wagon has exactly sis stops on its route, The wagon first stops at stop one and then at stops two, three, four,five, and six respectively. After the wagon leaves stop six, the bus turns, returns to stop one, and repeats the cycle.The stops of the wagon are named as L,M.N,O,P and Q. P is the third stop.M is the sixth stop. The stop O is the stop immediately before Q. N is the stop immediately before L.
Q:If N is the fourth stop, which among the following must be the stop immediately before P.

O A
Q B
N C
L D
M E

Question # 20

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 # 21

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 # 22

All R's are either P's or Q's.All P's are R's.All Q's are R's.No Y's are Z's.Some Q's are Z's.Not all Z's are R's.Q-If all X's are either P's or Q's,then which of the following is necessarily false?

All X's are R's A
All P's are X's B
Some Q's are X's C
All X's are H's D
All Z's are X's E

Question # 23

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-Which of the following sequences of commands could result in a final arrangement in which Mehak and Ony are in Room 1.Osaf and Muts are in Room 2,and Latif and Lottie are in Room 3?

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

Question # 24

Society for special education is to prepare seven blind students for national Naat competition in the month of Ramzan. Controller for academics of the society selects seven students —Tahir, Usman, Veena, Waseem, Ghias, Yasin, and Zafar. For this purpose, the students are to give a recital, and their instructor is deciding the order in which they will perform. Each student will perform exactly one Naat. In deciding the order of performance, the instructor must observe the following restrictions: Ghias cannot perform first or second. Waseem cannot perform until Ghias has performed.Neither Tahir nor Yasin can perform seventh. Either Yasin or Zafar must perform immediately after Waseem performs. Veena must perform either immediately after or immediately before Usman performs.
Q:If Veena performs first, which one of the following must be true?

Tahir performs sixth A
Ghias performs third B
Zafar performs seventh C
Tahir performs immediately after Yasin D
Waseem performs immediately after Ghias E

Question # 25

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.
Q:In case T and Z are the individuals serving on committee B, how many of the nine individuals should serve on committee C?

3 A
4 B
5 C
6 D
7 E

Question # 26

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 # 27

Three women--X,Y, and Z are traveling in a van with five children--A,B,C,D and E The van has a driver's seat and one passenger seat in the front and two benches behind the front seats, one bench behind the first.Each bench has room for exactly three people.Every one must sit in a seat or on a bench and seating is subject to the following restrictions: A women must sit on each bench.Either X or Y must sit in the driver's seat.C must sit immediately beside E.Q-Which of the following groups of three can sit together on a bench?

A,C and E A
A.C and Z B
A.Y and Z C
B,D and Y D
D,E and X E

Question # 28

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 # 29

The customer complaint department of a chain of departmental stores firm employs exactly six people who answer letters: A,B,C,D,E and F.Every complaint letter received by the departmental is classified as either Red or Blue,The procedures for answering the letter are:Red letters are given first to A or B.Blue letters are given first to anyone of the following:A,D or C.If a letter raises a problem that cannot be resolved by the person to whom it is given,it must be forwarded until it reaches someone who can resolve the problem and answer the letter.A letter must be forwarded as follows:By A to C if the letter is Red,but to D if the letter is Blue;By B to either A to C;By C to D if the letter is Red,but to E if the letter is Blue;By D to either C or E whether the letter is Red or Blue;By E to F whether the letter is Red or Blue.F answer every letter given to him.Any letter that reaches F must have been previously given to?

A A
B B
C C
D D
E E

Question # 30

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

Sr.#	Question	Answer
1	According to Albert Einstein's famous theory of relativity,time travel is theoretically possible,If we assume that time travel were to be possible through some technological wonder,it would be advantageous to send someone back in time to prevent the assassination of Archduke Franz Ferdinand in 1914 and thus keep Word War I from ever occurring.Q-The argument above makes which of the following assumptions?	A. The technology necessary for time travel is likely to be developed in the near future. B. If the time travel were to be developed in the future,evidence of time travelers would be apparent to those living today. C. It is not possible to alter a significant current in world history merely by changing a single event. D. If Franz Ferdinand had not been assassinated,some other catalytic event would have led to the start of World War I.
2	The customer complaint department of a chain of departmental stores firm employs exactly six people who answer letters: A,B,C,D,E and F.Every complaint letter received by the departmental is classified as either Red or Blue,The procedures for answering the letter are:Red letters are given first to A or B.Blue letters are given first to anyone of the following:A,D or C.If a letter raises a problem that cannot be resolved by the person to whom it is given,it must be forwarded until it reaches someone who can resolve the problem and answer the letter.A letter must be forwarded as follows:By A to C if the letter is Red,but to D if the letter is Blue;By B to either A to C;By C to D if the letter is Red,but to E if the letter is Blue;By D to either C or E whether the letter is Red or Blue;By E to F whether the letter is Red or Blue.F answer every letter given to him.Q-Any of the following can be true EXCEPT?	A. A forwards a red letter to C B. B forwards a red letter to A C. B forwards a red letter to C D. C forwards a red letter to E
3	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. A spoke sometime before L B. D spoke sometime before O C. L spoke sometime before O D. O spoke sometime before L
4	Seven children--M,N,O,P,Q,X and Y eligible to enter a drawing contest.From these seven,two teams must be formed,a blue team and a yellow team,each item consisting of exactly three of the children.No child can be selected for more than one team.Team selection is subject to the following restrictions: If P is on the blue team,O must be selected for the yellow team.If M is on the blue team.If M is on the blue team.Q,if selected must be on the yellow team.Q cannot be on the same team as X.N cannot be on the same team as O.Q-Which of the following can be the three members of the blue team?	A. M,N and O B. M,Q and Y C. N,O and Y D. O,P and Q
5	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-If an assembled cable consists of exactly five wires,each a different colour,it could be true that a colour NOT used is?	A. Orange B. Purple C. Red D. Green
6	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-The model R is one model not selected for the street,then the other model NOT selected must be which of the following?	A. L B. M C. N D. O
7	Six scientists A,B,C,D,E and F are to present a paper each at a one-day conference. Three of them will present their papers in the morning session before the lunch break whereas the other three will be presented in the afternoon session. The presentations have to be scheduled in such a way that they comply with the following conditions: B should present his paper immediately before C's presentation; their presentations cannot be separated by the lunch break. D must be the first or the last scientist to present his paper. Q: In case C is to be fifth scientist to present his paper, then B must be	A. First B. Second C. Third D. Fourth
8	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. Fatima wants to win,but she is not a good athlete. B. Rizwan,the accountant,eats a well-balanced diet,but he is not a good athlete. C. All the players on the Zeeshan baseball team eat a well-balanced diet. D. No athlete who does not eat a well-balanced diet wants to win.
9	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
10	A city wagon has exactly sis stops on its route, The wagon first stops at stop one and then at stops two, three, four,five, and six respectively. After the wagon leaves stop six, the bus turns, returns to stop one, and repeats the cycle.The stops of the wagon are named as L,M.N,O,P and Q. P is the third stop.M is the sixth stop. The stop O is the stop immediately before Q. N is the stop immediately before L. Q:If N is the fourth stop, which among the following must be the stop immediately before P.	A. O B. Q C. N D. L

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GAT-B Arts, Humanities and Social Science Analytical MCQ's Test Preparation for Pakistani Students

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GAT-B Arts, Humanities & Social Science Analytical

Asif has refused to work hard for the exam preparation; therefore no more pocket money from his father should be provided to him.1.Which of the following is an assumption made in the argument above?

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?

All R's are either P's or Q's.All P's are R's.All Q's are R's.No Y's are Z's.Some Q's are Z's.Not all Z's are R's.Q-If all X's are either P's or Q's,then which of the following is necessarily false?

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?

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