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

Question # 1

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 # 2

It is true that it is against international law to sell plutonium to countries that do not yet have nuclear weapon.But if United States companies do so,companies in other countries will.Q:Which of the following is most like the argument above in its logical structure?

It is true that it is against the police department's policy to negotiate with kidnappers.But if the police want to prevent loss of life,they must negotiate in some cases. A
It is true it is illegal to refuse to register for military service.But there is a long tradition in the United States of conscientious objection to serving in the armed forces. B
It is true that it is illegal for a government official to participate in transaction in which there is an apparent conflict of interest.But if the facts are examined carefully it will clearly be seen that there was no actual conflict in the defendant's case. C
It is true that it is against the law to burglarize people's homes.But someone else certainly would have burglarized that house if the defendant had not done so first. D
It is true that company policy forbids supervisors to fire employees without two written warnings.but there have been many supervisors who have disobeyed this policy. E

Question # 3

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: Adding more amount of Novajana will make which of the following brands conformable with the conditions?

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

Question # 4

Which of the following can be logically deduced from the stated conditions

No F's are B's A
No B's are F's B
Some F's are B's C
No G's are A's D

Question # 5

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 # 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

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 Javed and Kamran meet in the afternoon, which of the following must be true?

Farid attends the morning meeting A
Majeed attends the afternoon meeting B
Lubna attends the afternoon meeting C
Exactly three people attend the morning meeting D
Exactly four people attend the afternoon meeting E

Question # 8

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 T,U and X are each receiving priority mail,which of the following lists the buildings in an order,from first through sixth,in which they can receive mail?

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

Question # 9

Four computer operators (Ali,Babar,Cheema and Dar) each have to perform duties at the NADRA on four different days Thursday through Sunday.The following is their duty schedule: Cheema has his duty day before Ali.Dar has his duty day later than Babar.Q-Each of the following possible EXCEPT:

Cheema has his duty on Thursday A
Babar has his duty on Thursday B
Dar has his duty on Saturday C
Babar has his duty on Sunday D
Ali has his duty on Sunday E

Question # 10

The city council in a modernized country devises a new employment scheme for locales. Based on this scheme,both men and women are categorized to R and B types. No person can do job in his own type. If a man gets job, he becomes a part of his employer's type but if a woman gets job she retain her own type. Children belong to the same type as their fathers. If a male is terminated, he resigned from the job or is retired; he reverts to the type of his birth.More than one job at a time is not permitted. If a man gets married, his type is converted to the type of his wife.
Q: AB type female could have had
I Agrandfather born R type
II Agrandmother born R type
III Her mother born R type

I only A
III only B
I,II and III C
I and II only D

Question # 11

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-The maximum number of wires that can be used in an acceptable is?

6 A
7 B
8 C
5 D
4 E

Question # 12

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 # 13

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 P is a representative then which of the following CANNOT be a representative?

M A
N B
Q C
R D

Question # 14

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, all the three switches are ON in the second setting, which among the following could have been the default setting?

AON,BON,CON A
AON,BON,COFF B
AON,BOFF,CON C
AON,BOFF,COFF D
AOFF,BON,COFF E

Question # 15

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 neither Q nor S is a representative then which of the following is a pair of teachers representatives?

K and L A
K and M B
K and N C
L and M D

Question # 16

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 in default setting the switches A and B are ON and the switch C is OFF, then what could be the second setting?

AON, BON, CON A
AON, BOFF, CON B
AON, BOFF, COFF C
AOFF, BON,COFF D
AOFF,BOFF,CON E

Question # 17

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-In Lahore Zoo,there are 37 deer.How many small black deer are there?1. 12 of deer are small.2. There are 20 black deer in the Zoo.

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 # 18

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 # 19

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-If A sits immediately beside Z,which of the following CANNOT be true?

C sits immediately beside Y. A
D sits immediately beside Z. B
B sits in the front passenger seat. C
A sits on the same bench as B D
B sits on the same bench as X E

Question # 20

Before the arrival of Asim,a new partner,sales output in Bilal's company Minhas In Reverse Ltd.had been raising by 10% per year on average.Innovations by Asim included computerization of technical process and reduction in the work force,but annual sales output has only risen by 5% per year.It appears that Asim's innovations have caused the reduction in the annual growth rate.Q:Which of the following if true would most seriously weaken the conclusion above?

Asim's innovations were intended as long-term investment and not made for short-term profit growth. A
General demand for the product manufactured by the company has declined. B
The investment in new machinery entails a provision for depreciation of the cost of the fixed assets,which causes a reduction in profit. C
Workers laid off by Minhas in Reverse Ltd.have been hired by a competitor,who is taking an increasing share of the market. D
Minhas In Reverse Ltd.does not base increases in the selling price of its products with costs. E

Question # 21

Ishfaq Ahmed disparaging reviews of the book call his abilities as a circle into question since the book became an immediate best-seller.Which of the following,if true,would most weaken the author's questioning of Ashfaq's critical ability?

Immediate success of books is quickly forgotten. A
Book critics often disagree with each other. B
Sales of a book are not always indicative of its value. C
Critics often changes their views about books. D
The significance of a book is not known for years. E

Question # 22

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-If a table consists of C,N and O,which of the following trios sits at one of the other tables?

B with D and L A
B with E and L B
A with P and L C
A with B and E D
D with E and M E

Question # 23

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: If F and E are the fifth and sixth presenters respectively then which of the following must be true?

A is first in the order of presenters A
A is third in the order of presenters B
A is fourth in the order of presenters C
B is first in the order of presenters D
C is fourth in the order of presenters E

Question # 24

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: Which of the following additional conditions makes it certain that Durya places second?

Ayesha places ahead of Bano A
Bano places ahead of Durya B
Durya places ahead of Bano C
Bano places behind Elina D
Elina places behind Durya E

Question # 25

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-5.Which of the following could not be true?I.No Y's are R'sII.No Y's are P'sIII.No Z's are R'sIV.No Y's are Q's

I only A
II only B
III only C
IV only D
I and IV only E

Question # 26

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 # 27

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-If the assumptions of the preceding argument are true,then which of the following statements must be true?

No bad athlete wants to win. A
No athlete who does not eat a well-balanced diet is a good athlete. B
Every athlete who does not eat a well-balanced diet is a good athlete. C
All athletes who want to win are good athletes. D

Question # 28

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-If Bilal serves in May,what is the latest month in which Akhter,could serve?

March A
April B
January C
February D
June E

Question # 29

According to the new office smoking regulation,only employees who have enclosed offices may smoke at their desks.Virtually,all employees with enclosed offices are at the professional level,and virtually all secretaries employees lack enclosed offices.Therefore secretaries who smoke should be offered enclosed offices.1.Which of the following is an assumption that enables the conclusion above to be properly drawn?

Employees at the professional level who do not smoke should keep their enclosed offices. A
Employees with enclosed offices should not smoke at their desks,even though the new regulations permit them to do so. B
Employees at the secretarial level should to smoke at their desks,even if they do not have enclosed offices. C
The smoking regulations should allow all employees who smoke an equal opportunity to do so,regardless of an employee's job level. D
The smoking regulations should provide equal protection from any hazards associated with smoking to all employees who do not smoke. E

Question # 30

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

Sr.#	Question	Answer
1	The microwave oven has become a standard appliance in many kitchens,mainly because it offers a fast way of cooking food,You some homeownersbelievethat the ovens are still not completely safe.Microwave,therefore,should not be a standard appliance until they are more carefully researched and tested.Q-Which of the following if true would most weaken the conclusion of the passage above?	A. Those homeowners in doubt,about microwave safety ought not to purchase microwaves. B. Homeowners,often purchase items despite knowing they may be unsafe. C. Research and testing of home appliances seldom reveals safety hazards. D. Microwaves are not as dangerous as steam iron,which are used in almost every home.
2	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
3	Sales manager Nasir All is trying to establish a sales team to cover the Lahore region. His team will consist of four members - two experienced and two new sales representatives. Saleem, Fawad, Hanif, and Karim are the experienced sales representatives. Javed, Taimoor, and Daud arc new. Saleem and Fawad do not work together Taimoor and Saleem refuse to work.together. Hanif and Daud cannot work together. Q: If Saleem is to be a part of the team, the following must be the other members:	A. Javed, Taimoor, Daud B. Javed, Daud, Karim C. Taimoor, Hanif, Karim D. Daud, Javed, Fawad
4	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 Hamid and Farid both meet in the morning, then which of the following most be true?	A. Javed meets in the evening B. Kamran meets in the morning C. Lubna meets in the morning D. Majeed meets in the afternoon
5	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
6	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?	A. Readers often exaggerate about their book reading. B. The sale of novels is more than that of other types. C. Many people buy books to pretend themselves as a scholar. D. Regular book readers are most susceptible to eye diseases.
7	Four computer operators (Ali,Babar,Cheema and Dar) each have to perform duties at the NADRA on four different days Thursday through Sunday.The following is their duty schedule: Cheema has his duty day before Ali.Dar has his duty day later than Babar.Q-Each of the following possible EXCEPT:	A. Cheema has his duty on Thursday B. Babar has his duty on Thursday C. Dar has his duty on Saturday D. Babar has his duty on Sunday
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 Javed leaves his seat and occupies the empty seat,his new seating position would be between:	A. Bilal and Fatima B. Iram and Najam C. Fatima and Najam D. Osama and Maryam
9	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: On which of the following pairs of days could the restaurant's menu of foods be identical?	A. Friday and Sunday B. Tuesday and Wednesday C. Saturday and Sunday D. Wednesday and Friday
10	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?	A. L B. M C. O D. X

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GAT-B Arts, Humanities & Social Science Analytical

It is true that it is against international law to sell plutonium to countries that do not yet have nuclear weapon.But if United States companies do so,companies in other countries will.Q:Which of the following is most like the argument above in its logical structure?

Which of the following can be logically deduced from the stated conditions

Four computer operators (Ali,Babar,Cheema and Dar) each have to perform duties at the NADRA on four different days Thursday through Sunday.The following is their duty schedule: Cheema has his duty day before Ali.Dar has his duty day later than Babar.Q-Each of the following possible EXCEPT:

Ishfaq Ahmed disparaging reviews of the book call his abilities as a circle into question since the book became an immediate best-seller.Which of the following,if true,would most weaken the author's questioning of Ashfaq's critical ability?

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-5.Which of the following could not be true?I.No Y's are R'sII.No Y's are P'sIII.No Z's are R'sIV.No Y's are Q's

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-If the assumptions of the preceding argument are true,then which of the following statements must be true?

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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