Question 1

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

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

Accepted Answer

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

Question 2

Syllogism 2H
Given the following syllogism:
No happy marriages are planned arrangements, so some unplanned arrangements are fulfilling relationships, because some unhappy marriages are not unfulfilling relationships.
-For Syllogism 2H, the major premise is:

Accepted Answer

A)  All happy marriages are unplanned arrangements. 
B)  Some unhappy marriages are fulfilling relationships. 
C)  Some fulfilling relationships are not planned arrangements. 
D)  No happy marriages are planned arrangements. 
E)  Some happy marriages are fulfilling relationships.

Question 3

Syllogistic Form 1E
Given the following syllogistic form:
No P are M.

-For Syllogistic Form 1E, the answer from the Boolean standpoint is:

Accepted Answer

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

Question 4

Syllogism 1I
Given the following syllogism:
No unpopular monarchs are autocrats with vision, so some autocrats without vision are not insane leaders, for some sane leaders are popular monarchs.
-For Syllogism 1I, the major premise is:

Accepted Answer

A)  No autocrats with vision are unpopular monarchs. 
B)  Some popular monarchs are not sane leaders. 
C)  All autocrats with vision are popular monarchs. 
D)  Some sane leaders are popular monarchs. 
E)  All popular monarchs are autocrats with vision.

Question 5

Syllogistic Form 6A
Given the following syllogistic form:
No P are M.
Some S are M.

Some S are not P.
-For Syllogistic Form 6A, after filling in the Venn diagram,

Accepted Answer

A)  Areas 3 and 4 are shaded, and there is an X in area 5. 
B)  Areas 3 and 4 are shaded, and there is an X in area 2. 
C)  Areas 3, 4, 5, and 6 are shaded. 
D)  Areas 5 and 6 are shaded, and there is an X on the line between areas 3 and 4. 
E)  Areas 6 and 7 are shaded, and there is an X on the line between areas 2 and 3.

Question 6

Sorites 1A
Given the following sorites: 
-For Sorites 1A, the correct standard form is:

Accepted Answer

A)  
B)  
C)  
D)  
E)

Question 7

Syllogistic Form 3A
Given the following syllogistic form: 
-For Syllogistic Form 3A, the answer from the Boolean standpoint is:

Accepted Answer

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

Question 8

Given the following sorites: All T are D.
No D are R.
All A are R.
Some K are A.

Some K are not T.
This sorites is:

Accepted Answer

A)  Valid because no rules are broken. 
B)  Invalid because the subject term of the conclusion is not distributed. 
C)  Invalid because it has more than two universal premises. 
D)  Invalid because one of the middle terms is not distributed. 
E)  Invalid because it draws a negative conclusion from three affirmative premises.

Question 9

Syllogism 1D
Given the following syllogism:
All unrewarding occupations are unsatisfying jobs, because no meaningless employments are satisfying jobs and all meaningful employments are rewarding occupations.
-After reducing the number of terms in Syllogism 1D, the conclusion is:

Accepted Answer

A)  All meaningful employments are satisfying jobs. 
B)  All satisfying jobs are rewarding occupations. 
C)  All satisfying jobs are meaningful employments. 
D)  All meaningful employments are rewarding occupations. 
E)  All rewarding occupations are satisfying jobs.

Question 10

Given the following syllogism: 
All flying elephants are pachyderms.

This syllogism is:

Accepted Answer

A)  Invalid from both the Boolean and the Aristotelian standpoint. 
B)  Valid from the Boolean standpoint and invalid from the Aristotelian standpoint. 
C)  Valid from both the Boolean and the Aristotelian standpoints. 
D)  Valid from the Aristotelian standpoint on condition pachyderms exist. 
E)  Valid from the Aristotelian standpoint and invalid from the Boolean standpoint.

Question 11

Given the following enthymeme: Tiffany sells only expensive watches, so Cartier watches must be expensive.
The statement needed to convert the enthymeme into a valid syllogism is:

Accepted Answer

A)  Tiffany sells some watches that are not expensive. (Conclusion) 
B)  Tiffany also sells Rolex watches. (Premise) 
C)  The Cartier Corporation owns Tiffany. (Premise) 
D)  Not all Cartier watches are expensive. (Conclusion) 
E)  Tiffany sells Cartier watches. (Premise)

Question 12

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

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

Accepted Answer

A)  Invalid, existential fallacy. 
B)  Valid, no fallacy. 
C)  Invalid, illicit major. 
D)  Invalid, exclusive premises. 
E)  Invalid, undistributed middle.

Question 13

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

-For Syllogistic Form 5I, the mood and figure is:

Accepted Answer

A)  EEO-3 
B)  EEI-2 
C)  AAI-3 
D)  AAO-2 
E)  AAI-2

Question 14

Syllogistic Form 2D
Given the following syllogistic form:
Some M are not P.

-For Syllogistic Form 2D, after filling in the Venn diagram,

Accepted Answer

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

Question 15

Syllogistic Form 1C
Given the following syllogistic form:
Some M are not P.
All M are S.

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

Accepted Answer

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

Question 16

Syllogism 2A
Given the following syllogism:
Some uncontaminated salads are healthy meals, for some appetizing foods are contaminated salads, and all unhealthy meals are unappetizing foods.
-For Syllogism 2A, the major premise is:

Accepted Answer

A)  No unhealthy meals are appetizing foods. 
B)  Some appetizing foods are not contaminated salads. 
C)  Some appetizing foods are contaminated salads. 
D)  All appetizing foods are healthy meals. 
E)  Some healthy meals are not contaminated salads.

Question 17

Syllogistic Form 1E
Given the following syllogistic form:
No P are M.

-For Syllogistic Form 1E, the mood and figure is:

Accepted Answer

A)  EOO-4. 
B)  AOO-4. 
C)  EOO-2. 
D)  EII-2. 
E)  EOO-3.

Question 18

Syllogistic Form 5A
Given the following syllogistic form: 
-For Syllogistic Form 5A, after filling in the Venn diagram,

Accepted Answer

A)  Areas 6 and 7 are shaded, and there is an X on the line between areas 2 and 3. 
B)  Areas 3 and 4 are shaded, and there is an X in area 2. 
C)  Areas 1 and 2 are shaded, and there is an X on the line between areas 3 and 4. 
D)  Areas 1 and 2 are shaded, and there is an X in area 3. 
E)  Areas 1 and 4 are shaded, and there is an X on the line between areas 3 and 4.

Question 19

Syllogism 2F
Given the following syllogism:
Some unfriendly companions are individuals with a sense of humor, for all individuals without a sense of humor are people hard to get along with, and some friendly companions are people easy to get along with.
-For Syllogism 2F, the minor premise is:

Accepted Answer

A)  All individuals with a sense of humor are people easy to get along with. 
B)  All people easy to get along with are individuals with a sense of humor. 
C)  Some individuals with a sense of humor are not friendly companions. 
D)  Some friendly companions are people easy to get along with. 
E)  No people easy to get along with are individuals without a sense of humor.

Question 20

Syllogistic Form 3E
Given the following syllogistic form:
All M are P.

-For Syllogistic Form 3E, after filling in the Venn diagram,

Accepted Answer

A)  Areas 3 and 4 are shaded, and there is an X in area 1. 
B)  Areas 1 and 2 are shaded, and there is an X in area 4. 
C)  Areas 1 and 2 are shaded, and there is an X on the line between areas 3 and 4. 
D)  Areas 1 and 2 are shaded, and there is an X on the line between areas 3 and 6. 
E)  Areas 3 and 4 are shaded, and there is an X in area 2.

Exam 5: Categorical Syllogisms

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

Syllogism 2H Given the following syllogism: No happy marriages are planned arrangements, so some unplanned arrangements are fulfilling relationships, because some unhappy marriages are not unfulfilling relationships. -For Syllogism 2H, the major premise is:

Syllogistic Form 1E Given the following syllogistic form: No P are M. -For Syllogistic Form 1E, the answer from the Boolean standpoint is:

Syllogism 1I Given the following syllogism: No unpopular monarchs are autocrats with vision, so some autocrats without vision are not insane leaders, for some sane leaders are popular monarchs. -For Syllogism 1I, the major premise is:

Syllogistic Form 6A Given the following syllogistic form: No P are M. Some S are M. Some S are not P. -For Syllogistic Form 6A, after filling in the Venn diagram,

Sorites 1A Given the following sorites: -For Sorites 1A, the correct standard form is:

Syllogistic Form 3A Given the following syllogistic form: -For Syllogistic Form 3A, the answer from the Boolean standpoint is:

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

Syllogism 1D Given the following syllogism: All unrewarding occupations are unsatisfying jobs, because no meaningless employments are satisfying jobs and all meaningful employments are rewarding occupations. -After reducing the number of terms in Syllogism 1D, the conclusion is:

Given the following syllogism: All flying elephants are pachyderms. This syllogism is:

Given the following enthymeme: Tiffany sells only expensive watches, so Cartier watches must be expensive. The statement needed to convert the enthymeme into a valid syllogism is:

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

Syllogistic Form 5I Given the following syllogistic form: All M are P. -For Syllogistic Form 5I, the mood and figure is:

Syllogistic Form 2D Given the following syllogistic form: Some M are not P. -For Syllogistic Form 2D, after filling in the Venn diagram,

Syllogistic Form 1C Given the following syllogistic form: Some M are not P. All M are S. Some S are not P. -For Syllogistic Form 1C, the mood and figure is:

Syllogism 2A Given the following syllogism: Some uncontaminated salads are healthy meals, for some appetizing foods are contaminated salads, and all unhealthy meals are unappetizing foods. -For Syllogism 2A, the major premise is:

Syllogistic Form 1E Given the following syllogistic form: No P are M. -For Syllogistic Form 1E, the mood and figure is:

Syllogistic Form 5A Given the following syllogistic form: -For Syllogistic Form 5A, after filling in the Venn diagram,

Syllogism 2F Given the following syllogism: Some unfriendly companions are individuals with a sense of humor, for all individuals without a sense of humor are people hard to get along with, and some friendly companions are people easy to get along with. -For Syllogism 2F, the minor premise is:

Syllogistic Form 3E Given the following syllogistic form: All M are P. -For Syllogistic Form 3E, after filling in the Venn diagram,