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Syllogistic Form 1C
Given the following syllogistic form:
Some M are not P.
All M are S.
Some S are not P.
1. For Syllogistic Form 1C, after filling in the Venn diagram,
a. Areas 1, 2, and 4 are shaded, and there is an X in area 3.
b. Areas 5 and 6 are shaded, and there is an X on the line between areas 2 and 3.
c. Areas 1 and 4 are shaded, and there is an X in area 3.
d. Areas 1 and 4 are shaded, and there is an X in area 2.
e. Areas 6 and 7 are shaded, and there is an X on the line between areas 2 and 3.
2. For Syllogistic Form 1C, the mood and figure is:
a. EAE-2
b. OAO-4
c. OAO-3
d. IAI-3
e. OEO-4
3. For Syllogistic Form 1C, the answer from the Boolean standpoint is:
a. Invalid, existential fallacy.
b. Invalid, drawing a negative conclusion from a negative premise.
c. Invalid, exclusive premises.
d. Invalid, illicit major.
e. Valid, no fallacy.
Syllogistic Form 2C
Given the following syllogistic form:
Some P are not M.
Some M are S.
Some S are not P.
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4. For Syllogistic Form 2C, after filling in the Venn diagram,
a. There is an X on the line between areas 2 and 5 and between areas 1 and 4.
b. There is an X on the line between areas 2 and 3 and between areas 6 and 7.
c. There is an X in areas 2 and in area 7.
d. There is an X on the line between areas 1 and 2 and between areas 5 and 6.
e. There is an X on the line between areas 3 and 4 and in area 3.
5. For Syllogistic Form 2C, the mood and figure is:
a. EAE-3
b. IOI-4
c. OIO-4
d. OAO-1
e. AIA-4
6. For Syllogistic Form 2C, the answer from the Boolean standpoint is:
a. Invalid, illicit major.
b. Invalid, drawing a negative conclusion from an affirmative premise.
c. Invalid, illicit minor.
d. Invalid, exclusive premises.
e. Invalid, undistributed middle.
Syllogistic Form 3C
Given the following syllogistic form:
All M are P.
No S are M.
All S are P.
7. For Syllogistic Form 3C, after filling in the Venn diagram,
a. Areas 2 and 3 are shaded, and there is an X in area 4.
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b. Areas 1, 2, 5, and 6 are shaded.
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 1, 2, and 3 are shaded.
8. For Syllogistic Form 3C, the mood and figure is:
a. EAE-4
b. EAE-1
c. AIA-1
d. AEA-1
e. EIE-4
9. For Syllogistic Form 3C, the answer from the Boolean standpoint is:
a. Invalid, illicit minor.
b. Invalid, drawing an affirmative conclusion from a negative premise.
c. Invalid, existential fallacy.
d. Invalid, exclusive premises.
e. Invalid, drawing a negative conclusion from affirmative premises.
Syllogistic Form 4C
Given the following syllogistic form:
All P are M.
All S are M.
All S are P.
10. For Syllogistic Form 4C, after filling in the Venn diagram,
a. Areas 1, 5, and 7 are shaded.
b. Areas 2, 3, and 4 are shaded.
c. Areas 5, 6, and 7 are shaded.
d. There is an X on the line between areas 2 and 3 and between areas 3 and 4.
e. All areas except area 3 are shaded.
11. For Syllogistic Form 4C, the mood and figure is:
a. EEE-3
b. OOO-2
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c. III-4
d. AAA-2
e. AAA-3
12. For Syllogistic Form 4C, the answer from the Boolean standpoint is:
a. Invalid, undistributed middle.
b. Invalid, illicit minor.
c. Invalid, exclusive premises.
d. Valid, no fallacy.
e. Invalid, drawing an affirmative conclusion from universal premises.
Syllogistic Form 5C
Given the following syllogistic form:
No P are M.
All S are M.
Some S are not P.
13. For Syllogistic Form 5C, after filling in the Venn diagram,
a. Areas 5, 6, and 7 are shaded.
b. Areas 1, 2, 5, and 6 are shaded.
c. Areas 3, 4, 5, and 6 are shaded.
d. Areas 3 and 4 are shaded, and there is an X in area 2.
e. Areas 2, 3, and 4 are shaded.
14. For Syllogistic Form 5C, the mood and figure is:
a. EAI-3
b. EAO-2
c. IAO-2
d. AEO-3
e. AEO-2
15. For Syllogistic Form 5C, the answer from the Boolean standpoint is:
a. Invalid, drawing a negative conclusion from a negative premise.
b. Valid, no fallacy.
c. Invalid, illicit major.
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d. Invalid, exclusive premises.
e. Invalid, existential fallacy.
Syllogistic Form 6C
Given the following syllogistic form:
No M are P.
Some M are not S.
Some S are not P.
16. For Syllogistic Form 6C, after filling in the Venn diagram,
a. Areas 1 and 2 are shaded and there is an X in area 4.
b. Areas 3 and 4 are shaded and there is an X on the line between areas 1 and 2.
c. Areas 6 and 7 are shaded and there is an X on the line between areas 1 and 4.
d. Areas 2 and 3 are shaded and there is an X on the line between areas 1 and 4.
e. Areas 3 and 4 are shaded and there is an X in area 1.
17. For Syllogistic Form 6C, the mood and figure is:
a. AII-4
b. EOO-2
c. AOO-3
d. EOO-3
e. IOO-1
18. For Syllogistic Form 6C, the answer from the Boolean standpoint is:
a. Invalid, exclusive premises.
b. Invalid, illicit major.
c. Invalid, existential fallacy.
d. Invalid, illicit minor.
e. Valid, no fallacy.
19. Given the following syllogism:
All unicorns are gazelles.
No lions are gazelles.
Some unicorns are not lions.
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This syllogism commits the existential fallacy from:
a. The Aristotelian standpoint but not from the Boolean standpoint.
b. The Boolean standpoint but not from the Aristotelian standpoint.
c. Both the Boolean and the Aristotelian standpoints.
d. Neither the Boolean nor the Aristotelian standpoint.
e. The syllogistic standpoint.
20. Given the following syllogistic form:
All P are M.
All M are S.
Some S are P.
This form is:
a. Conditionally valid from the Boolean standpoint.
b. Conditionally valid from the Aristotelian standpoint.
c. Valid from the Aristotelian standpoint.
d. Valid from the Boolean standpoint.
e. Invalid from the Aristotelian standpoint.
Syllogism 1C
Given the following syllogism:
No altered photos are accurate representations, so some inaccurate representations are attractive images, since some
unaltered photos are not unattractive images.
21. After reducing the number of terms in Syllogism 1C, the conclusion is:
a. No altered photos are accurate representations.
b. Some attractive images are not altered photos.
c. Some attractive images are not accurate representations.
d. Some accurate representations are not attractive images.
e. Some accurate representations are unattractive images.
22. For Syllogism 1C, the major premise is:
a. No altered photos are inaccurate representations.
b. Some attractive images are not altered photos.
c. Some attractive images are not accurate representations.
d. No altered photos are accurate representations.
e. Some accurate representations are not attractive images.
23. For Syllogism 1C, the minor premise is:
a. Some attractive images are accurate representations.
b. Some attractive images are not accurate representations.
c. Some altered photos are not attractive images.
d. No altered photos are accurate representations.
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e. Some attractive images are not altered photos.
Syllogism 2C
Given the following syllogism:
No dogs that do not love children are reliable watchdogs, since all dogs that don’t bite are unreliable watchdogs, and no
dogs that love children are dogs that bite.
24. After reducing the number of terms in Syllogism 2C, the conclusion is:
a. All reliable watchdogs are dogs that love children.
b. No dogs that love children are dogs that bite.
c. All reliable watchdogs are dogs that bite.
d. All dogs that bite are reliable watchdogs.
e. All dogs that love children are reliable watchdogs.
25. For Syllogism 2C, the major premise is:
a. All dogs that don’t bite are dogs that love children.
b. All reliable watchdogs are dogs that love children.
c. No dogs that love children are dogs that bite.
d. All reliable watchdogs are dogs that bite.
e. All dogs that love children are reliable watchdogs.
26. For Syllogism 2C, the minor premise is:
a. All dogs that love children are reliable watchdogs.
b. All reliable watchdogs are dogs that bite.
c. No dogs that love children are dogs that bite.
d. All dogs that bite are reliable watchdogs.
e. All reliable watchdogs are dogs that love children.
Syllogism 3C
Given the following syllogism:
There are applicants who are not trustworthy, because whoever has a criminal record is untrustworthy, and several
applicants have criminal records.
27. After translating Syllogism 3C into standard form, the conclusion is:
a. No people with criminal records are trustworthy people.
b. Some applicants have criminal records.
c. Some applicants are people with criminal records.
d. Some applicants are not trustworthy people.
e. Some trustworthy people are not applicants.
28. For Syllogism 3C, the major premise is:
a. No people with criminal records are trustworthy people.
b. Some applicants are not trustworthy people.
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c. All untrustworthy people are people with criminal records.
d. Several applicants have criminal records.
e. Some applicants are people with criminal records.
29. For Syllogism 3C, the minor premise is:
a. Some trustworthy people are not applicants.
b. No people with criminal records are trustworthy people.
c. Several applicants have criminal records.
d. Some applicants are not trustworthy people.
e. Some applicants are people with criminal records.
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.
30. After translating Syllogism 4C into standard form, the conclusion is:
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.
31. For Syllogism 4C, the major premise is:
a. All controllable boys are boys with good parenting.
b. All controllable boys are choirboys.
c. All choirboys are controllable boys.
d. All boys with good parenting are choirboys.
e. All choirboys are boys with good parenting.
32. For Syllogism 4C, the minor premise is:
a. All controllable boys are boys with good parenting.
b. All controllable boys are choirboys.
c. All boys with good parenting are controllable boys.
d. All choirboys are boys with good parenting.
e. All boys with good parenting are choirboys.
33. Given the following enthymeme:
Poorly managed airlines never earn a profit, but Speedy Air does earn a profit.
The statement needed to convert the enthymeme into a valid syllogism is:
a. Speedy Air is well managed. (Premise)
b. Speedy Air should be subject to price controls. (Conclusion)
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c. Speedy Air is not poorly managed. (Conclusion)
d. Speedy Air’s investors are pleased. (Conclusion)
e. Only well managed airlines earn a profit. (Premise)
34. Given the following enthymeme:
Democratic countries have fair elections, so North Korea must not be a democratic country.
The statement needed to convert the enthymeme into a valid syllogism is:
a. North Korea has never been a democratic country. (Conclusion)
b. North Korea does not have fair elections. (Premise)
c. Kim Jong Il runs North Korea. (Conclusion)
d. North Korea is run by a dictator. (Premise)
e. All countries that have fair elections are democratic countries. (Premise)
35. Given the following enthymeme:
Any contract induced by bribery should be rescinded, but many military contracts fall precisely into this category.
The statement needed to convert the enthymeme into a valid syllogism is:
a. Many military contracts are induced by bribery. (Premise)
b. Many military contracts are not induced by bribery. (Premise)
c. Many Pentagon officials succumb to bribery. (Conclusion)
d. Many military contracts should not be rescinded. (Conclusion)
e. Many military contracts should be rescinded. (Conclusion)
Sorites 1C
Given the following sorites:
All G are B.
Some S are T.
No G are K.
No T are B.
Some K are not S.
36. For Sorites 1C, the correct standard form is:
a. Some K are not S.
Some S are T.
No T are B.
All G are B.
No G are K.
b. Some S are T.
No T are B.
All G are B.
No G are K.
Some K are not S.
c. No T are B.
Some S are T.
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All G are B.
No G are K.
Some K are not S.
d. Some S are T.
No T are B.
No G are K.
All G are B.
Some K are not S.
e. Some S are not T.
All T are B.
No G are B.
Some G are not K.
Some K are S.
37. For Sorites 1C, the first intermediate conclusion is:
a. Some S are not B.
b. No T are G.
c. Some S are B.
d. No K are B.
e. Some B are not S.
38. For Sorites 1C, the second intermediate conclusion is:
a. No K are B.
b. No B are T.
c. Some S are G.
d. Some S are not G.
e. Some B are not S.
39. For Sorites 1C, the correct answer is:
a. Cogent.
b. Sound.
c. Strong.
d. Valid.
e. Invalid.
40. Given the following sorites:
All H are D.
No D are N.
All N are A.
Some J are A.
Some J are not H.
This sorites is:
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a. Invalid because only one term in the conclusion is distributed.
b. Invalid because it has more than two affirmative premises.
c. Invalid because one of the middle terms is undistributed.
d. Invalid because it draws a particular conclusion from three universal premises.
e. Valid because it breaks no rules.