Name:
Class:
Date:
Chapter 05 Test F
Copyright Cengage Learning. Powered by Cognero.
Page 1
Syllogistic Form 1F
Given the following syllogistic form:
No P are M.
No S are M.
No S are P.
1. For Syllogistic Form 1F, after filling in the Venn diagram,
a. Areas 2, 3, and 4 are shaded, and there is an X in area 5.
b. Areas 5, 6, and 7 are shaded, and there is an X in area 2.
c. Areas 2, 3, and 4 are shaded, and there are no other marks.
d. Areas 2, 3, 4, and 6 are shaded.
e. Areas 5, 6, and 7 are shaded, and there are no other marks.
2. For Syllogistic Form 1F, the mood and figure is:
a. AAA–2.
b. III–3.
c. EEE–3.
d. III–2.
e. EEE–2.
3. For Syllogistic Form 1F, the answer from the Boolean standpoint is:
a. Invalid, exclusive premises.
b. Invalid, illicit major.
c. Invalid, drawing a negative conclusion from negative premises.
d. Valid, no fallacy.
Syllogistic Form 2F
Given the following syllogistic form:
Some P are M.
All M are S.
Some S are P.
Name:
Class:
Date:
Chapter 05 Test F
Copyright Cengage Learning. Powered by Cognero.
Page 2
4. For Syllogistic Form 2F, after filling in the Venn diagram,
a. Areas 1 and 4 are shaded, and there is an X on the line between areas 2 and 3.
b. Areas 5 and 6 are shaded, and there is an X in area 3.
c. Areas 1 and 2 are shaded, and there is an X in area 3.
d. Areas 1 and 4 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 6.
5. For Syllogistic Form 2F, the mood and figure is:
a. OAO–4.
b. IAI–4.
c. EAE–4.
d. IAI–1.
e. OAO–1.
6. For Syllogistic Form 2F, the answer from the Boolean standpoint is:
a. Invalid, undistributed middle.
b. Invalid, illicit major.
c. Invalid, existential fallacy.
d. Valid, no fallacy.
Syllogistic Form 3F
Given the following syllogistic form:
Some M are not P.
Some M are S.
Some S are not P.
7. For Syllogistic Form 3F, after filling in the Venn diagram,
a. There is an X on the line between areas 1 and 4 and between areas 2 and 3.
Name:
Class:
Date:
Chapter 05 Test F
Copyright Cengage Learning. Powered by Cognero.
Page 3
b. There is an X in area 1 and an X in area 2.
c. There is an X on the line between areas 1 and 2 and between areas 2 and 3.
d. Areas 1, 2, and 3 are shaded.
e. There is an X on the line between areas 1 and 2 and between areas 3 and 4.
8. For Syllogistic Form 3F, the mood and figure is:
a. OIO–3.
b. IOI–3.
c. OIO–2.
d. OEO–3.
e. IOI–2.
9. For Syllogistic Form 3F, the answer from the Boolean standpoint is:
a. Valid, no fallacy.
b. Invalid, exclusive premises.
c. Invalid, drawing a negative conclusion from an affirmative premise.
d. Invalid, existential fallacy.
Syllogistic Form 4F
Given the following syllogistic form:
Some P are not M.
All M are S.
Some S are not P.
10. For Syllogistic Form 4F, after filling in the Venn diagram,
a. There is an X on the line between areas 2 and 5 and between areas 6 and 7.
b. Areas 1 and 4 are shaded, and there is an X on the line between areas 6 and 7.
c. Areas 5 and 6 are shaded, and there is an X in area 7.
d. Areas 1 and 4 are shaded, and there is an X on the line between areas 3 and 6.
e. Areas 2 and 3 are shaded, and there is an X on the line between areas 6 and 7.
11. For Syllogistic Form 4F, the mood and figure is:
a. OAO–1.
b. OEO–4.
Name:
Class:
Date:
Chapter 05 Test F
Copyright Cengage Learning. Powered by Cognero.
Page 4
c. OAO–4.
d. IAI–1.
e. EAO–4.
12. For Syllogistic Form 4F, the answer from the Boolean standpoint is:
a. Invalid, illicit minor.
b. Invalid, undistributed middle.
c. Invalid, drawing a negative conclusion from an affirmative premise.
d. Invalid, illicit major.
Syllogistic Form 5F
Given the following syllogistic form:
All P are M.
No S are M.
Some S are not P.
13. For Syllogistic Form 5F, after filling in the Venn diagram,
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.
14. For Syllogistic Form 5F, the mood and figure is:
a. EAO–3.
b. AEO–2.
c. AEO–3.
d. EAO–2.
e. AIO–2.
15. For Syllogistic Form 5F, the answer from the Boolean standpoint is:
a. Invalid, existential fallacy.
b. Valid, no fallacy.
c. Invalid, illicit major.
Name:
Class:
Date:
Chapter 05 Test F
Copyright Cengage Learning. Powered by Cognero.
Page 5
d. Invalid, exclusive premises.
e. Invalid, undistributed middle.
Syllogistic Form 6F
Given the following syllogistic form:
All M are P.
No S are M.
All S are P.
16. For Syllogistic Form 6F, after filling in the Venn diagram,
a. Areas 1, 4, 6, and 7 are shaded, and there is an X in area 3.
b. Areas 2, 3, 6, and 7 are shaded.
c. Areas 1, 4, 6, and 7 are shaded, and there are no other marks.
d. Areas 1, 2, and 3 are shaded, and there is an X in area 4.
e. Areas 1, 2, and 3 are shaded, and there are no other marks.
17. For Syllogistic Form 6F, the mood and figure is:
a. EAE–1.
b. EAE–4.
c. AEA–1.
d. AIA–1.
e. AEA–4.
18. For Syllogistic Form 6F, the answer from the Boolean standpoint is:
a. Invalid, drawing an affirmative conclusion from a negative premise.
b. Invalid, exclusive premises.
c. Valid, no fallacy.
d. Invalid, illicit major.
e. Invalid, existential fallacy.
19. Given the following syllogism:
All unicorns are horses.
No tigers are horses.
No tigers are unicorns.
Name:
Class:
Date:
Chapter 05 Test F
Copyright Cengage Learning. Powered by Cognero.
Page 6
This syllogism is:
a. Valid from the Aristotelian standpoint only.
b. Invalid from both the Boolean and the Aristotelian standpoints.
c. Valid from the Boolean standpoint only.
d. Valid from both the Boolean and the Aristotelian standpoints.
e. Conditionally valid from the Aristotelian standpoint.
20. Given the following syllogism:
All sharks are fish.
All sharks are mammals.
Some mammals are fish.
This syllogism is:
a. Commits the existential fallacy from the Aristotelian standpoint only.
b. Valid from the Aristotelian standpoint only.
c. Valid from both the Boolean and the Aristotelian standpoints.
d. Conditionally valid from the Boolean standpoint.
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.
21. After reducing the number of terms in Syllogism 1F, the conclusion is:
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.
22. For Syllogism 1F, the major premise is:
a. Some sober drivers are not nondrinkers.
b. All drivers afraid of sobriety checkpoints are drinkers.
c. Some drinkers are not sober drivers.
d. All nondrinkers are drivers unafraid of sobriety checkpoints.
e. Some drivers afraid of sobriety checkpoints are not sober drivers.
23. For Syllogism 1F, the minor premise is:
a. No drivers afraid of sobriety checkpoints are drinkers.
b. All drinkers are drivers afraid of sobriety checkpoints.
c. All drivers afraid of sobriety checkpoints are drinkers.
d. Some drivers afraid of sobriety checkpoints are not sober drivers.
Name:
Class:
Date:
Chapter 05 Test F
Copyright Cengage Learning. Powered by Cognero.
Page 7
e. All nondrinkers are drivers unafraid of sobriety checkpoints.
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.
24. After reducing the number of terms in Syllogism 2F, the conclusion is:
a. Some individuals with a sense of humor are not friendly companions.
b. Some individuals with a sense of humor are friendly companions.
c. Some friendly companions are people easy to get along with.
d. Some friendly companions are not individuals with a sense of humor.
e. All people easy to get along with are individuals with a sense of humor.
25. For Syllogism 2F, the major premise is:
a. All people easy to get along with are individuals with a sense of humor.
b. Some friendly companions are people easy to get along with.
c. No individuals without a sense of humor are people easy to get along with.
d. Some friendly companions are not people hard to get along with.
e. Some individuals with a sense of humor are not friendly companions.
26. For Syllogism 2F, the minor premise is:
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.
Syllogism 3F
Given the following syllogism:
Musicians are not accomplished unless they practice. Thus, Claire must not be accomplished because she never practices.
27. After translating Syllogism 3F into standard form, the conclusion is:
a. All accomplished musicians are musicians who practice.
b. All persons identical to Claire are not accomplished musicians.
c. No persons identical to Claire are accomplished musicians.
d. No persons identical to Claire are musicians who practice.
e. Some persons identical to Claire are not accomplished musicians.
28. For Syllogism 3F, the major premise is:
a. All accomplished musicians are musicians who practice.
b. No accomplished musicians are musicians who do not practice.
c. No persons identical to Claire are accomplished musicians.
Name:
Class:
Date:
Chapter 05 Test F
Copyright Cengage Learning. Powered by Cognero.
Page 8
d. No persons identical to Claire are musicians who practice.
e. All musicians who practice are accomplished musicians.
29. For Syllogism 3F, the minor premise is:
a. All persons identical to Claire are not musicians who practice.
b. All persons identical to Claire are musicians who do not practice.
c. No persons identical to Claire are accomplished musicians.
d. No persons identical to Claire are musicians who practice.
e. All accomplished musicians are musicians who practice.
Syllogism 4F
Given the following syllogism:
Only those students who were invited are going to the party. Hence, since a few freshmen were not invited, there are
freshmen who are not going to the party.
30. After translating Syllogism 4F into standard form, the conclusion is:
a. All students going to the party are students who were invited.
b. Some freshmen are not students who were invited.
c. All students who were invited are students going to the party.
d. Some freshmen are not students going to the party.
e. Some freshmen are students who were invited.
31. For Syllogism 4F, the major premise is:
a. All students who were invited are students going to the party.
b. Some freshmen are students who were invited.
c. Some freshmen are not students who were invited.
d. Some freshmen are not students going to the party.
e. All students going to the party are students who were invited.
32. For Syllogism 4F, the minor premise is:
a. Some freshmen are students who were invited.
b. Some freshmen are not students going to the party.
c. Some freshmen are not students who were invited.
d. All students who were invited are students going to the party.
e. All students going to the party are students who were invited.
33. Given the following enthymeme:
Chewing tobacco is not a safe substitute for cigarettes. After all, it causes cancer of the mouth.
The statement needed to convert the enthymeme into a valid syllogism is:
a. There is no form of tobacco that is safe to use. (Conclusion)
b. Cigarettes cause lung cancer and emphysema. (Conclusion)
c. No product that causes cancer of the mouth is a product that anyone should use. (Premise)
Name:
Class:
Date:
Chapter 05 Test F
Copyright Cengage Learning. Powered by Cognero.
Page 9
d. Users of chewing tobacco are not required to go outdoors to use it. (Premise)
e. Any product that causes cancer of the mouth is not a safe substitute for cigarettes. (Premise)
34. Given the following enthymeme:
Steroid use is dangerous because it can lead to suicide.
The statement needed to convert the enthymeme into a valid syllogism is:
a. There is no proof that steroids lead to suicide. (Premise)
b. Any drug that can lead to suicide is dangerous. (Premise)
c. Steroid use is thought to be rampant in professional baseball. (Conclusion)
d. Any drug that can lead to suicide should be avoided. (Conclusion)
e. The use of steroids can improve performance in competitive sports. (Premise)
35. Given the following enthymeme:
Wherever guns are readily available senseless killings occur, and guns are readily available in the U.S.
The statement needed to convert the enthymeme into a valid syllogism is:
a. The ownership and transfer of handguns in the U.S. should be banned. (Premise)
b. Handguns are readily available in many countries. (Premise)
c. Senseless killings occur in the U.S. (Conclusion)
d. Handguns inevitably lead to senseless killings. (Premise)
e. The ownership of handguns is not protected by the Constitution. (Conclusion)
Sorites 1F
Given the following sorites:
Some Q are K.
All E are L.
No K are B.
All L are B.
Some Q are not E.
36. For Sorites 1F, the correct standard form is:
a. All L are B.
All E are L.
Some Q are not E.
Some Q are K.
No K are B.
b. Some Q are K.
No K are B.
All E are L.
All L are B.
Some Q are not E.
c. No K are B.
All L are B.
All E are L.
Name:
Class:
Date:
Chapter 05 Test F
Copyright Cengage Learning. Powered by Cognero.
Page 10
Some Q are not E.
Some Q are K.
d. All E are L.
All L are B.
No K are B.
Some Q are K.
Some Q are not E.
e. All L are B.
No K are B.
Some Q are K.
All E are L.
Some Q are not E.
37. For Sorites 1F, the first intermediate conclusion is:
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.
38. For Sorites 1F, the second intermediate conclusion is:
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.
39. For Sorites 1F, the correct answer is:
a. Strong.
b. Cogent.
c. Sound.
d. Unsound.
e. Valid.
40. Given the following sorites:
All N are P.
Some N are F.
All F are R.
All R are A.
Some A are not P.
This sorites is:
a. Invalid because one of the middle terms is undistributed.
Name:
Class:
Date:
Chapter 05 Test F
Copyright Cengage Learning. Powered by Cognero.
Page 11
b. Invalid because it has affirmative premises and a negative conclusion.
c. Invalid because it has three universal premises and a particular conclusion.
d. Valid because a particular premise requires a particular conclusion.
e. Valid because no rules are broken.