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

Question # 1

Two statements, labeled X and Y, follow each of the following questions.The statements contain certain information.In the questions you do not actually have to compute an answer rather you have to decide whether the information given in the statement X and Y is sufficient to find a correct answer by using basic mathematicsand everyday facts.Q-Captain of national hockey team should be the most popular member of the team.Who is the captain of Pakistan's national hockey team?X. Saqlain is the best player on the team.Y, junaid is the senior-most member.

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

Question # 2

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-Can any of the four rivers be more than 200 meters wide?1.The narrowest of the four rivers is 140 meters wide.2.Average width of the four rivers is 200 meters.

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 # 3

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 # 4

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

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

Question # 5

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-Can there be more than 150 pictures in a 30-page book?1.There is at least two pictures in cash page.2. There are no more than 4 pictures in any page.

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 # 6

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 # 7

Multan Institute of Higher Studies plans to show five educational films A, B, C, D, and E to a group of students. The film shows are planned in an order, which conforms to the following conditions:
A must be shown earlier than C.
B must be shown earlier than D.
E should be the fifth film shown.
Q:In case B, D and E are to be shown one after the other in the given order, the position from first to fifth in which A could possibly be shown is

first A
second B
third C
fourth D
fifth E

Question # 8

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 # 9

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-If N and O are both on the committee who else must be on the committee?

A A
B B
C C
D D
L E

Question # 10

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

M and N A
N and O B
O and P C
P and Q D

Question # 11

Nine individuals - Z, Y, X, W, V, U, T, S and R are to serve on three committees labeled A, B and C. Each candidate should serve on exactly one of the committees. Committee A should consist of exactly one member more than that of committee B. It is possible that there are no members of committee C Among Z, Y and X none can serve on committee A. Among W, V and U none can serve on committee C. Among T, S and R none can serve on committee C.
Q:Of the nine individuals, the maximum number that can serve together on committee C is

9 A
8 B
7 C
6 D
5 E

Question # 12

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 # 13

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 # 14

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 # 15

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?

M,N and O A
M,Q and Y B
N,O and Y C
O,P and Q D
P,Q and Y E

Question # 16

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

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

Question # 17

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 # 18

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 # 19

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 # 20

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

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

Question # 21

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 # 22

Researchers have found an inactive virus in dry bread.In previous experiments,researchers found that inactivated viruses could convert healty cells into cancer cells.It can be concluded that the use of dry bread can casue cancer.Q-Which one of the following if true most seriously weakens the argument?

The result of many studies about the same topic were consistent. A
Many other ingredients dry bread can neutralize the effect of inactive virus. B
Many of cancer patients confirmed the use of dry bread. C
Ten percent of rural population use dry bread D
Inactive virus cannot be killed by any medicine. E

Question # 23

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

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

Question # 24

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 # 25

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 # 26

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 # 27

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 # 28

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-3.If an orange wire and a pink wire must be among the wires chosen for a particular cable,any of the following pairs of wires could complete the cable EXCEPT a?

Black wire and a second orange wire. A
Purple wire and a second orange wire. B
Purple wire and a black wire C
Red wire and a purple wire D
Red wire and a black wire. E

Question # 29

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 # 30

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?

The technology necessary for time travel is likely to be developed in the near future. A
If the time travel were to be developed in the future,evidence of time travelers would be apparent to those living today. B
It is not possible to alter a significant current in world history merely by changing a single event. C
If Franz Ferdinand had not been assassinated,some other catalytic event would have led to the start of World War I. D
The assassination of Franz Ferdinand was the crucial event that triggered the start of Word War I. E

Question # 31

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 Usman performs third, what is the latest position in which Yasin can perform?

First A
Second B
Fifth C
Sixth D
Seventh E

Question # 32

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 is switched to the new office, which of the following cannot move to the new office

B A
D B
F C
G D

Question # 33

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 D goes to the new office, which of the following is/are true
I C cannot go
II A cannot go
III H must also go

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

Question # 34

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 # 35

Three men (Tahir, Pervaiz, and Javed) and three women (Elena, Ayesha, and Kiran) are spending a few months at Abbottabad. They are to stay in a row of nine cottages, each one living in his or her own cottage. There are no others staying in the same row of houses.
I Ayesha, Tahir, and Javed do not want to stay in any cottage, which is at the end of the row.
II Elena and Ayesha are unwilling to stay besides any occupied cottage.
III Kiran is next to Pervaiz and Javed.
IV Between Ayesha and Javed's cottage there is just one vacant house.
V None of the girls occupies adjacent cottages.
VI The house occupied by Tahir is nest to an end cottage.
Q: Which of the above statements can be derived from two other statements?

Statement 1 A
Statement 2 B
Statement 3 C
Statement 5 D
Statement 6 E

Sr.#	Question	Answer
1	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?	A. One B. Two C. Three D. Four
2	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: Which one of the following must be true?	A. Fawad and Saleem always work together B. Karim and Daud never work together C. Karim and Fawad always work together D. If Javed works, then Karim does't work
3	"The sum of behaviour is to retain a man's dignity without intruding upon the liberty of others." stated Sir Francis Bacon.If this is the case then not intruding upon another's liberty is impossible.Q.The conclusion strongly implied by the author's arguments is that?	A. Retaining one's dignity is impossible without intruding upon another;s liberty. B. Retaining dignity never involves robbing others of liberty. C. Dignity and liberty are naturally exclusive. D. There is always the possibility of a "dignified intrusion"
4	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.	A. I only B. II only C. III only D. II and III only
5	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
6	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:Of the nine individuals, the maximum number that can serve together on committee C is	A. 9 B. 8 C. 7 D. 6
7	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?	A. All X's are R's B. All P's are X's C. Some Q's are X's D. All X's are H's
8	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?	A. Prof. Akmal and Dilawar B. Prof. Akmal and Ejaz C. Profs. Chishti and Dilawar D. Prof.Dilawar
9	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
10	Light bulbs that emit lower-intensity light save energy by requiring less electricity.Therefore,If homeowners use only low-intensity light bulbs,their electric bills will decrease.Q-Which of the following represents a necessary assumption for the above argument?	A. Low-intensity light bulbs are less expensive than more standard light bulbs. B. By lowering electricity use,homeowners can help decrease pollution levels in their communities. C. The low-intensity light bulbs are as effective in providing light as standard light bulbs. D. Homeowners are always concerned with lowering their utility bills.

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