Syllogisms Questions and Answers

Q: The question given below has a set of three or four statements. Each set of statements is further divided into three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them. Statement- I. No key is door. II. All doors are pens. III. Some pens are houses. Conclusion - I. No key is house. II. Some pens are doors.

Correct answer: Only II followsConclusion II is simply the converse of the second statement: if all doors are pens then certainly some pens are doors. Conclusion I asks about keys and houses, and the statements link them only through pens - a middle term that is not distributed - so nothing follows there. Only II follows.

Q: The question given below has a set of three or four statements. Each set of statements is further divided into three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them. Statement - I. All fruits are lions II. All lions are foxes III. Some foxes are beggars Conclusion - I. All fruits are foxes. II. Some fruits are beggars.

Correct answer: Only I followsAll fruits are lions and all lions are foxes, so all fruits are foxes - conclusion I. Conclusion II asks about beggars, and we know only that some foxes are beggars; those need not be the fruits. Only I follows.

Q: The question given below has a set of three or four statements. Each set of statements is further divided into three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them. Statement - I. All flowers are toys. II. Some toys are idiots. III. Some angels are idiots. Conclusion - I. Some angels are toys. II. Some idiots are flowers. III. Some flowers are angels.

Correct answer: None followsEvery link here runs through a particular statement - some toys are idiots, some angels are idiots - and two particulars can never yield a conclusion. Nothing connects flowers to angels, or angels to toys, or idiots to flowers with any certainty. None follows.

Q: The question given below has a set of three or four statements. Each set of statements is further divided into three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them. Statement - I. Some pens are books. II. All temples are books. III. Some libraries are temples. Conclusion - I. Some libraries are pens. II. Some pens are temples. III. Some libraries are books.

Correct answer: Only III followsSome libraries are temples and all temples are books, so some libraries are books - conclusion III. Conclusions I and II both try to reach pens, and the only statement about pens is a particular one, which cannot carry a conclusion. Only III follows.

Q: The question given below has a set of three or four statements. Each set of statements is further divided into three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them. Statement - I. All bats are lions. II. No cow is lion. III. Some camels are cows. Conclusion - I. Some lions are camels. II. No camel is bat. III. Some bats are cows.

Correct answer: None of theseNo cow is a lion and all bats are lions, so no bat is a cow - which makes conclusion III false. Conclusion I links lions to camels, which the statements do not; and conclusion II claims no camel is a bat, whereas only those camels that are cows are ruled out. None of these follows.

Q: The question given below has a set of three or four statements. Each set of statements is further divided into three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them. Statement - I. All fruits are textbooks. II. All pens are textbooks. III. All textbooks are rains. Conclusion - I. All fruits are rains. II. All pens are rains. III. Some rains are textbooks.

Correct answer: All followAll textbooks are rains, so anything that is a textbook is a rain: fruits and pens both are, which gives conclusions I and II. And since all textbooks are rains, some rains are textbooks - conclusion III. All follow.

Q: The question given below has a set of three or four statements. Each set of statements is further divided into three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them. Statement - I. Some buttons are rivers. II. Some rivers are shirts. III. All shirts are people. Conclusion - I. Some people are rivers. II. Some people are buttons. III. Some shirts are buttons.

Correct answer: Only I followsSome rivers are shirts and all shirts are people, so some rivers are people - that is, some people are rivers, conclusion I. Conclusions II and III both need to reach buttons, and the only statement about buttons is particular, so nothing follows. Only I follows.

Q: The question given below has a set of three or four statements. Each set of statements is further divided into three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them. Statement - I. All snakes are idiots. II. Some idiots are people. III. All people are soft. Conclusion - I. Some idiots are not snakes. II. Some people are snakes. III. Some soft are idiots.

Correct answer: Only III followsSome idiots are people and all people are soft, so some idiots are soft - that is, some soft are idiots, conclusion III. Conclusion I asserts idiots who are not snakes, which need not exist, and conclusion II links people to snakes through a particular. Only III follows.

Q: The question given below has a set of three or four statements. Each set of statements is further divided into three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them. Statement - I. Some guns are hammers. II. Some hammers are bullets. III. Some bullets are axes. Conclusion - I. Some axes are hammers. II. Some bullets are guns. III. Some axes are guns

Correct answer: None followsAll three statements are particular - some guns are hammers, some hammers are bullets, some bullets are axes - and a chain of “some” carries nothing along it. None follows.

Q: The question given below has a set of three or four statements. Each set of statements is further divided into three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them. Statement - I. All papers are books II. All bags are books III. Some purses are bags Conclusion - I. Some papers are bags II. Some books are papers III. Some books are purses

Correct answer: Both II and III followAll papers are books gives its converse, some books are papers - conclusion II. Some purses are bags and all bags are books, so some purses are books, that is some books are purses - conclusion III. Conclusion I links papers to bags, which the statements do not. Both II and III follow.

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31.

The question given below has a set of three or four statements. Each set of statements is further divided into three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them.

Statement-

I. No key is door.
II. All doors are pens.
III. Some pens are houses.

Conclusion -

I. No key is house.
II. Some pens are doors.

A.Only I follows
B.Only II follows
C.Only III follows
D.Only I and II follows

Answer: B

Correct answer: Only II follows

Conclusion II is simply the converse of the second statement: if all doors are pens then certainly some pens are doors. Conclusion I asks about keys and houses, and the statements link them only through pens - a middle term that is not distributed - so nothing follows there. Only II follows.

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32.

I. All fruits are lions
II. All lions are foxes
III. Some foxes are beggars

Conclusion -

I. All fruits are foxes.
II. Some fruits are beggars.

A.Only I follows
B.Only II follows
C.Only III follows
D.Only I and II follows

Answer: A

Correct answer: Only I follows

All fruits are lions and all lions are foxes, so all fruits are foxes - conclusion I. Conclusion II asks about beggars, and we know only that some foxes are beggars; those need not be the fruits. Only I follows.

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33.

I. All flowers are toys.
II. Some toys are idiots.
III. Some angels are idiots.

Conclusion -

I. Some angels are toys.
II. Some idiots are flowers.
III. Some flowers are angels.

A.Only I follows
B.Only II follows
C.Only III follows
D.None follows

Answer: D

Correct answer: None follows

Every link here runs through a particular statement - some toys are idiots, some angels are idiots - and two particulars can never yield a conclusion. Nothing connects flowers to angels, or angels to toys, or idiots to flowers with any certainty. None follows.

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34.

I. Some pens are books.
II. All temples are books.
III. Some libraries are temples.

Conclusion -

I. Some libraries are pens.
II. Some pens are temples.
III. Some libraries are books.

A.Only I follows
B.Only II follows
C.None follows
D.Only III follows

Answer: C

Correct answer: Only III follows

Some libraries are temples and all temples are books, so some libraries are books - conclusion III. Conclusions I and II both try to reach pens, and the only statement about pens is a particular one, which cannot carry a conclusion. Only III follows.

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35.

I. All bats are lions.
II. No cow is lion.
III. Some camels are cows.

Conclusion -

I. Some lions are camels.
II. No camel is bat.
III. Some bats are cows.

A.Only I follows
B.Only II follows
C.Only III follows
D.None of these

Answer: D

Correct answer: None of these

No cow is a lion and all bats are lions, so no bat is a cow - which makes conclusion III false. Conclusion I links lions to camels, which the statements do not; and conclusion II claims no camel is a bat, whereas only those camels that are cows are ruled out. None of these follows.

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36.

I. All fruits are textbooks.
II. All pens are textbooks.
III. All textbooks are rains.

Conclusion -

I. All fruits are rains.
II. All pens are rains.
III. Some rains are textbooks.

A.Only I follows
B.Only II follows
C.Only III follows
D.All follow

Answer: D

Correct answer: All follow

All textbooks are rains, so anything that is a textbook is a rain: fruits and pens both are, which gives conclusions I and II. And since all textbooks are rains, some rains are textbooks - conclusion III. All follow.

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37.

I. Some buttons are rivers.
II. Some rivers are shirts.
III. All shirts are people.

Conclusion -

I. Some people are rivers.
II. Some people are buttons.
III. Some shirts are buttons.

A.Only I follows
B.Only II follows
C.Only III follows
D.Only I and II follows

Answer: A

Correct answer: Only I follows

Some rivers are shirts and all shirts are people, so some rivers are people - that is, some people are rivers, conclusion I. Conclusions II and III both need to reach buttons, and the only statement about buttons is particular, so nothing follows. Only I follows.

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38.

I. All snakes are idiots.
II. Some idiots are people.
III. All people are soft.

Conclusion -

I. Some idiots are not snakes.
II. Some people are snakes.
III. Some soft are idiots.

A.Only I follows
B.Only II follows
C.Only III follows
D.Only I and II follows

Answer: C

Correct answer: Only III follows

Some idiots are people and all people are soft, so some idiots are soft - that is, some soft are idiots, conclusion III. Conclusion I asserts idiots who are not snakes, which need not exist, and conclusion II links people to snakes through a particular. Only III follows.

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39.

I. Some guns are hammers.
II. Some hammers are bullets.
III. Some bullets are axes.

Conclusion -

I. Some axes are hammers.
II. Some bullets are guns.
III. Some axes are guns

A.Only I follows
B.Only II follows
C.Only III follows
D.None follows

Answer: D

Correct answer: None follows

All three statements are particular - some guns are hammers, some hammers are bullets, some bullets are axes - and a chain of “some” carries nothing along it. None follows.

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40.

I. All papers are books
II. All bags are books
III. Some purses are bags

Conclusion -

I. Some papers are bags
II. Some books are papers
III. Some books are purses

A.Only I follows
B.Only II follows
C.Only III follows
D.Both II and III follow

Answer: D

Correct answer: Both II and III follow

All papers are books gives its converse, some books are papers - conclusion II. Some purses are bags and all bags are books, so some purses are books, that is some books are purses - conclusion III. Conclusion I links papers to bags, which the statements do not. Both II and III follow.

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