GAT-A Business and Engineering Analytical Online Test Preparation for Pakistani Students

Question # 1

Travelers may enter and remain in the republic for up to 57 days.If a travelers are to stay for more than seven days,however,a special visa is required.Q-10.If the statements above are true,which of the following must also be true?

Travelers who are staying in the Republic for 15 days must have a special visa. A
Many travelers who any stay in the Republic do not need visa. B
Some travelers who stay in the Republic for more than seven days do not have to appropriate visas. C
Travelers who stay less than seven days in the Republic do not need visas. D

Question # 2

During practice matches,before a major tournament,in a football ground,one team can practice at a time.There are seven teams-- the Argentine,the Brazil the Senegal,the Dubai,the England,the France and the Germany,The football ground is open seven evenings a week from Monday to Sunday (Sunday being considered the last day of the week),and the allocation of the practice times is governed by the following rules:i.On any evening only one team can play.ii.The Argentine must practice on Monday.iii.The Dubai practice exactly one day before the France practice.iv,The France practice exactly one day before the Germany practice.v.The Senegal and the Brazil must practice earlier in the week than the England.Q-If the Germany practice on Thursday,the England and the Dubai must practice on which days,respectively?

Sunday and Tuesday A
Saturday and Tuesday B
Friday and Wednesday C
Wednesday and Thursday D
Tuesday and Monday E

Question # 3

An Internal Services Manager at a large corporation has been assigned the task of allotting offices to six of the staff members. The offices are titled AthroughF. Mrs. Ruby needs to use the telephone quite often throughout the day. Mr. Mujahid and Mr. Zahid need adjacent offices as they need to consult each other often while working. Mrs. Fauzia is a senior employee and has to be allotted the office markedE, having the biggest window. Mr. Abid requires silence in the offices next to his Mr. Shahid, Mr. Mujahid, and Mr. Abid are all smokers. Mrs.Fauziarequires non-smoker neighbors. Unless specifically stated all the employees maintain an atmosphere of silence during office hours.
Q: The ideal candidate to occupy the office farthest from Mr.Zahid would be

Mrs.Fauzia A
Mr.Mujahid B
Mr.Shahid C
Mr.Abid D

Question # 4

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:Which of the following order of delivering report is not conformable with the conditions?

M,A,N,G,O,L,D A
M,D,N,G,L,O,A B
M,N,A,L,D,O,G C
M,N,A,O,D,L,G D
M,N,G,D,O,L,A E

Question # 5

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 # 6

There are seven cages next to each other in a zoo.The following is known as about the cages.Each cage has only one animal,which is either a lion or a monkey.There is a lion in each of the first and last cages.The cage in the middle has monkey.No two adjacent cages have monekey in them.The monkey's cage in the middle has two lion cages on either side.Each of the other monkey cages are between and next to two lion cages.Q-How many cages have lions in them?

3 A
2 B
4 C
6 D
5 E

Question # 7

If Fatima was born in NWFP,then the she is a citizen of Pakistan.The statement above can be deduced from which of the following statements?

Fatima was born either in NWFP or in Punjab. A
Some people born in NWFP are citizen of Pakistan. B
Everyone born in Pakistan is a citizen of Pakistan. C
Every citizen of Pakistan is resident either of one have the province or of one of the tribal area. D
Fatima is a citizen either of Pakistan or of any other Country. E

Question # 8

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 # 9

During practice matches,before a major tournament,in a football ground,one team can practice at a time.There are seven teams-- the Argentine,the Brazil the Senegal,the Dubai,the England,the France and the Germany,The football ground is open seven evenings a week from Monday to Sunday (Sunday being considered the last day of the week),and the allocation of the practice times is governed by the following rules:i.On any evening only one team can play.ii.The Argentine must practice on Monday.iii.The Dubai practice exactly one day before the France practice.iv,The France practice exactly one day before the Germany practice.v.The Senegal and the Brazil must practice earlier in the week than the England.Q-If a person went to the football ground on three consecutive evenings,her or she could see which of the following teams in the order listed?

The France,the Germany,the Senegal A
The France,the Germany,the Dubai B
The Argentine,the Dubai,the Senegal C
The Brazil,the Senegal,the Franxe D
The Dubai the England,the France E

Question # 10

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-Which is inconsistent with the above set of statements?I. Some Z's are P'sII.Some Z's are Q'sIII Some Z's are neither P's nor Q'sIV.All Y's are P'sV.Some Z's are Y's

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

Question # 11

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 # 12

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 # 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 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:

two of the scouts are female A
all of the scouts are male B
only one male scout has learned to attack C
one female scout has learned to revert D
two of the scouts are defenders E

Question # 14

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.If Y is not chosen for the issue,which of the following must be chosen?

L A
M B
N C
O D
W E

Question # 15

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?

Javed meets in the evening A
Kamran meets in the morning B
Lubna meets in the morning C
Majeed meets in the afternoon D
Nargis meets in the afternoon E

Question # 16

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-How many acceptable groupings articles include O?

One A
Two B
Three C
Four D
Five E

Question # 17

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: Which of the following must switched to the new office

B A
D B
E C
G D

Question # 18

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 # 19

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 # 20

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 # 21

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 # 22

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:

Bilal and Fatima A
Iram and Najam B
Fatima and Najam C
Osama and Maryam D
Amina and Maryam E

Question # 23

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 other animals are to be added to a habitat containing a member of species B and a member of species G in the habitat,which of the following could be those two animals?

Members of species H and A A
Members of species C and A B
Members of species D and H C
Members of species H and C D
Members of species F and C E

Question # 24

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 Noman serve in April,all of the following could be true except?

Akhter serves in January A
Hamid serves in March B
BIlal serves in May C
Bilal serves in June D
Hamid serves in June E

Question # 25

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?

Orange A
Purple B
Red C
Green D
Black E

Question # 26

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 # 27

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 # 28

There are seven cages next to each other in a zoo.The following is known as about the cages.Each cage has only one animal,which is either a lion or a monkey.There is a lion in each of the first and last cages.The cage in the middle has monkey.No two adjacent cages have monekey in them.The monkey's cage in the middle has two lion cages on either side.Each of the other monkey cages are between and next to two lion cages.Q-The monkey cage in the middle must have?

No other monkey cage to its left. A
No lion cage on its right. B
A lion cage to its left and to its right. C
Other monkey cages next to it. D
No lion cage to its left. E

Question # 29

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 # 30

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 # 31

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 R is a representative but M is not a representative then the whole group can be determined if it were also true that?

K is a representative A
N is a representative B
P is a representative C
S is not a representative D

Question # 32

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-Mr.A will serve only if O is also on the committee.Mr C will not serve unless Mr.B and L also serve.Neither Mr.D nor Mr.E will serve without the other.If M serves,either N nor O can serve.which of the following is an acceptable committee?

A,C,D,E,L A
B,C,E,L,M B
B,D,E,L,O C
C,D,E,L,M D
D,E,L,M,N E

Question # 33

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 # 34

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-If it is raining then there must be clouds.Are there clouds?1. Today is Saturday.It is not raining2. It rained Friday.

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 # 35

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	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 is necessarily true?	A. The linear distance from S to R is greater than the linear distance from N to M. B. The linear distance from P to Q is equal to the linear distance from M to N. C. The linear distance from R to M is equal to the linear distance from P to S. D. The linear distance from M to Q is equal to the linear distance from P to M.
2	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.	A. One part Livana B. One part Mathia C. Two parts Novajana D. One parts Oxia
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:Which among the following is a pair of films that CANNOT both be shown earlier than E?	A. A and B B. A and D C. B and C D. B and D
4	Hamza is a terrible driver.He had ten traffic violations in the past year.Which of the following can be said about the above claim?	A. Hamza does not know how to drive. B. Hamza is an addict of drugs C. It is obvious that everyone make accidents in bad weather. D. Something in this argument is hidden
5	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?	A. C sits immediately beside Y. B. D sits immediately beside Z. C. B sits in the front passenger seat. D. A sits on the same bench as B
6	If Fatima was born in NWFP,then the she is a citizen of Pakistan.The statement above can be deduced from which of the following statements?	A. Fatima was born either in NWFP or in Punjab. B. Some people born in NWFP are citizen of Pakistan. C. Everyone born in Pakistan is a citizen of Pakistan. D. Every citizen of Pakistan is resident either of one have the province or of one of the tribal area.
7	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
8	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?	A. K and L B. K and M C. K and N D. L and M
9	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?	A. 6 B. 7 C. 8 D. 5
10	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 trio could sit together?	A. M,O and L B. D,E and L C. B,E and L D. B,D and L

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