Question 1

Given the following enthymeme: The office is closed today, because today is Sunday.
The statement needed to convert the enthymeme into a valid syllogism is:

Accepted Answer

A)  The only day the office is closed is Sunday. (Premise) 
B)  All days identical to today are days the office is closed. (Premise) 
C)  The office will be open on Monday. (Conclusion) 
D)  The office is closed on Sunday. (Premise) 
E)  Most offices are closed on Sunday. (Conclusion)

Question 2

Syllogism 1A
Given the following syllogism:
No untalented bards are compelling writers, so some uncompelling writers are not uninspired poets, for some inspired poets are talented bards.
-For Syllogism 1A, the minor premise is:

Accepted Answer

A)  All compelling writers are talented bards. 
B)  Some inspired poets are talented bards. 
C)  Some inspired poets are not compelling writers. 
D)  Some compelling writers are not inspired poets. 
E)  Some inspired poets are not talented bards.

Question 3

Syllogistic Form 5F
Given the following syllogistic form:
All P are M.

-For Syllogistic Form 5F, after filling in the Venn diagram,

Accepted Answer

A)  Areas 1, 2, and 3 are shaded, and there is an X in area 5. 
B)  Areas 1, 2, and 3 are shaded, and there is an X in area 4. 
C)  Areas 3, 4, 5, and 6 are shaded. 
D)  Areas 2, 3, 6, and 7 are shaded, and there is an X in area 5. 
E)  Areas 2, 3, 6, and 7 are shaded, and there are no other marks.

Question 4

For Syllogistic Form 1G, the correct mood and figure is:

Accepted Answer

A)  AIO-1 
B)  EIO-1 
C)  AIO-4 
D)  IAO-3 
E)  OIA-4

Question 5

Syllogism 4D
Given the following syllogism:
A few Hondas are not on sale, because the cars with green tags are not on sale and a few Hondas have green tags.
-For Syllogism 4D, the minor premise is:

Accepted Answer

A)  Some Hondas are not cars that are on sale. 
B)  Some Hondas are cars with green tags. 
C)  No cars with green tags are cars on sale. 
D)  Some Hondas are not cars with green tags. 
E)  All cars with green tags are cars that are not on sale.

Question 6

Sorites 1G
Given the following sorites:
All D are A.
No B are C.
Some E are D.

-For Sorites 1G, the correct standard form is:

Accepted Answer

A)  Some E are D.
All D are A.
No B are C.
 
B)  All A are B.
All D are A.
No B are C.
 
C)  No B are C.
All A are B.
All D are A.
 
D)  All A are B.
No B are C.
Some E are not C.
 
E)  No B are C.
All D are A.
All A are B.

Question 7

Syllogistic Form 4F
Given the following syllogistic form:
Some P are not M.

-For Syllogistic Form 4F, the answer from the Boolean standpoint is:

Accepted Answer

A)  Invalid, illicit minor. 
B)  Invalid, undistributed middle. 
C)  Invalid, drawing a negative conclusion from an affirmative premise. 
D)  Invalid, illicit major. 
E)  Valid, no fallacy.

Question 8

Syllogistic Form 4A
Given the following syllogistic form:
Some P are M.
Some S are M.

Some S are P.
-For Syllogistic Form 4A, after filling in the Venn diagram,

Accepted Answer

A)  There is an X on the line between areas 1 and 2 and between areas 1 and 4. 
B)  There is an X on the line between areas 2 and 3 and between areas 3 and 4. 
C)  There is an X on the line between areas 2 and 5 and between areas 4 and 7. 
D)  There is an X in area 2 and in area 4. 
E)  Areas 2, 3, and 4 are shaded.

Question 9

Syllogism 4A
Given the following syllogism:
Movies are not sexy unless they have nude scenes, so Dark Interlude is sexy because it has nude scenes.
-For Syllogism 4A, the major premise is:

Accepted Answer

A)  All sexy movies are movies with nude scenes. 
B)  All movies identical to Dark Interlude are movies with nude scenes. 
C)  All movies with nude scenes are sexy movies. 
D)  Some sexy movies are movies without nude scenes. 
E)  All movies identical to Dark Interlude are sexy movies.

Question 10

Syllogism 4C
Given the following syllogism:
A boy is uncontrollable unless he has good parenting. Thus, only the choirboys are controllable, since the only boys with good parenting are choirboys.
-After translating Syllogism 4C into standard form, the conclusion is:

Accepted Answer

A)  All choirboys are controllable boys. 
B)  All boys with good parenting are choirboys. 
C)  All controllable boys are choirboys. 
D)  All choirboys are boys with good parenting. 
E)  All controllable boys are boys with good parenting.

Question 11

Given the following enthymeme: Street gangs are a top priority for the FBI because they're involved in organized crime.
The statement needed to convert the enthymeme into a valid syllogism is:

Accepted Answer

A)  Street gangs have been involved in organized crime for years. (Premise) 
B)  Organized crime includes theft, murder, extortion, and prostitution. (Conclusion) 
C)  The FBI will never succeed in eradicating street gangs. (Conclusion) 
D)  Groups involved in organized crime are a top priority for the FBI. (Premise) 
E)  Any gang that deals in street drugs is involved in organized crime. (Premise)

Question 12

Given the following sorites: Some M are R.
All R are H.
All H are D.
No K are D.
Some K are not M.
This sorites is:

Accepted Answer

A)  Invalid because a term is distributed in the conclusion but not in the premise. 
B)  Invalid because a universal premise requires a universal conclusion. 
C)  Invalid because a term is distributed in a premise but not in the conclusion. 
D)  Valid because a particular premise requires a particular conclusion. 
E)  Valid because no rules are broken.

Question 13

Syllogistic Form 2I
Given the following syllogistic form:
No P are M.

-For Syllogistic Form 2I, the mood and figure is:

Accepted Answer

A)  IEO-2 
B)  EAO-1 
C)  EIO-2 
D)  AIO-1 
E)  EIO-3

Question 14

Sorites 1F
Given the following sorites:
Some Q are K.
All E are L.
No K are B.

-For Sorites 1F, the second intermediate conclusion is:

Accepted Answer

A)  Some Q are not B. 
B)  Some Q are not L. 
C)  No K are E. 
D)  All E are B. 
E)  No B are E.

Question 15

Syllogistic Form 1A
Given the following syllogistic form:
Some M are not P.
No S are M.

Some S are not P.
-For Syllogistic Form 1A, the mood and figure is:

Accepted Answer

A)  EAE-4 
B)  IEI-1 
C)  OEO-3 
D)  OAO-2 
E)  OEO-1

Question 16

Syllogism 3H
Given the following syllogism:
A few snakes have fangs, so there are snakes that are not friendly, for whatever has fangs is unfriendly.
-After translating Syllogism 3H into standard form, the conclusion is:

Accepted Answer

A)  Some snakes are not friendly animals. 
B)  No snakes are friendly animals. 
C)  Some friendly animals are not snakes. 
D)  Some snakes are friendly animals. 
E)  No animals with fangs are friendly animals.

Question 17

Syllogism 1F
Given the following syllogism:
No nondrinkers are drivers afraid of sobriety checkpoints. Hence, some drinkers are not sober drivers, since some inebriated drivers are not drivers unafraid of sobriety checkpoints.
-After reducing the number of terms in Syllogism 1F, the conclusion is:

Accepted Answer

A)  Some sober drivers are not drivers afraid of sobriety checkpoints. 
B)  Some drivers afraid of sobriety checkpoints are not sober drivers. 
C)  Some drinkers are not sober drivers. 
D)  Some sober drivers are not drinkers. 
E)  All drivers afraid of sobriety checkpoints are drinkers.

Question 18

Syllogism 3A
Given the following syllogism:
Jack can't be a mechanic because every mechanic owns tools, and Jack does not own any tools.
-After translating Syllogism 3A into standard form, the conclusion is:

Accepted Answer

A)  All people identical to Jack are not mechanics. 
B)  No people identical to Jack are mechanics. 
C)  All mechanics are people who own tools. 
D)  No people identical to Jack are people who own tools. 
E)  All people identical to Jack are not people who own tools.

Question 19

Syllogistic Form 5E
Given the following syllogistic form:
All P are M.

-For Syllogistic Form 5E, the answer from the Boolean standpoint is:

Accepted Answer

A)  Invalid, undistributed middle. 
B)  Invalid, drawing a negative conclusion from affirmative premises. 
C)  Invalid, exclusive premises. 
D)  Valid, no fallacy. 
E)  Invalid, existential fallacy.

Question 20

Syllogistic Form 4D
Given the following syllogistic form:

-For Syllogistic Form 4D, the answer from the Boolean standpoint is:

Accepted Answer

A)  Invalid, drawing a negative conclusion from affirmative premises. 
B)  Invalid, illicit minor. 
C)  Invalid, illicit major. 
D)  Valid, no fallacy. 
E)  Invalid, existential fallacy.

Exam 5: Categorical Syllogisms

Given the following enthymeme: The office is closed today, because today is Sunday. The statement needed to convert the enthymeme into a valid syllogism is:

Syllogism 1A Given the following syllogism: No untalented bards are compelling writers, so some uncompelling writers are not uninspired poets, for some inspired poets are talented bards. -For Syllogism 1A, the minor premise is:

Syllogistic Form 5F Given the following syllogistic form: All P are M. -For Syllogistic Form 5F, after filling in the Venn diagram,

For Syllogistic Form 1G, the correct mood and figure is:

Syllogism 4D Given the following syllogism: A few Hondas are not on sale, because the cars with green tags are not on sale and a few Hondas have green tags. -For Syllogism 4D, the minor premise is:

Sorites 1G Given the following sorites: All D are A. No B are C. Some E are D. -For Sorites 1G, the correct standard form is:

Syllogistic Form 4F Given the following syllogistic form: Some P are not M. -For Syllogistic Form 4F, the answer from the Boolean standpoint is:

Syllogistic Form 4A Given the following syllogistic form: Some P are M. Some S are M. Some S are P. -For Syllogistic Form 4A, after filling in the Venn diagram,

Syllogism 4A Given the following syllogism: Movies are not sexy unless they have nude scenes, so Dark Interlude is sexy because it has nude scenes. -For Syllogism 4A, the major premise is:

Syllogism 4C Given the following syllogism: A boy is uncontrollable unless he has good parenting. Thus, only the choirboys are controllable, since the only boys with good parenting are choirboys. -After translating Syllogism 4C into standard form, the conclusion is:

Given the following enthymeme: Street gangs are a top priority for the FBI because they're involved in organized crime. The statement needed to convert the enthymeme into a valid syllogism is:

Given the following sorites: Some M are R. All R are H. All H are D. No K are D. Some K are not M. This sorites is:

Syllogistic Form 2I Given the following syllogistic form: No P are M. -For Syllogistic Form 2I, the mood and figure is:

Sorites 1F Given the following sorites: Some Q are K. All E are L. No K are B. -For Sorites 1F, the second intermediate conclusion is:

Syllogistic Form 1A Given the following syllogistic form: Some M are not P. No S are M. Some S are not P. -For Syllogistic Form 1A, the mood and figure is:

Syllogism 3H Given the following syllogism: A few snakes have fangs, so there are snakes that are not friendly, for whatever has fangs is unfriendly. -After translating Syllogism 3H into standard form, the conclusion is:

Syllogism 1F Given the following syllogism: No nondrinkers are drivers afraid of sobriety checkpoints. Hence, some drinkers are not sober drivers, since some inebriated drivers are not drivers unafraid of sobriety checkpoints. -After reducing the number of terms in Syllogism 1F, the conclusion is:

Syllogism 3A Given the following syllogism: Jack can't be a mechanic because every mechanic owns tools, and Jack does not own any tools. -After translating Syllogism 3A into standard form, the conclusion is:

Syllogistic Form 5E Given the following syllogistic form: All P are M. -For Syllogistic Form 5E, the answer from the Boolean standpoint is:

Syllogistic Form 4D Given the following syllogistic form: -For Syllogistic Form 4D, the answer from the Boolean standpoint is: