Syllogism
Direction: Three statements are given followed by four conclusions. (I), (II), (III) and (IV). You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You are to decide which of the given conclusions, if any, follow from the given statements. Indicate your answer.
- Statements:
(a) All dogs are rats.
(b) All rats are crows.
(c) All crows are parrots.
Conclusions:
(I) All dogs are parrots.
(II) Some parrots are dogs.
(III) Some crows are dogs.
(IV) All rats are dogs.
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All the three Premises are Universal Affirmative (A-type).
All dogs are rats. ↔ All rats are crows.Correct Option: B
All the three Premises are Universal Affirmative (A-type).
All dogs are rats. ↔ All rats are crows.
A + A ⇒ A-type of Conclusion “All dogs are crows.”
Conclusion III is converse of it.
All rats are crows. ↔ All crows are parrots.
A + A ⇒ A-type of Conclusion “All rats are parrots.”
All dogs are crows. ↔ All crows are parrots.
A + A ⇒ A-type of Conclusion “All dogs are parrots.”
This is Conclusion I.
Conclusion II is converse of it.
Direction: Two statements are given followed by four conclusions I, II, III and IV. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You are to decide which of the given conclusions, if any, follow from the given statements. Indicate your answer.
- Statements:
(a) All pens are pencils.
(b) No pencil is monkey.
Conclusions:
I. No pen is monkey.
II. Some pens are monkeys.
III. All monkeys are pens.
IV. Some monkeys are pens.
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First Premise is Universal Affirmative (A–type).
Second Premise is Universal Negative (E–type).
All pens are pencils. ↔ No pencil is monkey.Correct Option: C
First Premise is Universal Affirmative (A–type).
Second Premise is Universal Negative (E–type).
All pens are pencils. ↔ No pencil is monkey.
A + E = E-type of Conclusion “No pen is monkey”.
This is Conclusion I.
Direction: Two statements are given followed by four conclusions I, II, III and IV. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
- Statements:
(a) Some skirts are benches.
(b) No bench is a table.
Conclusions:
I. Some skirts are tables.
II. Some benches are skirts.
III. All benches are skirts.
IV. Some tables are skirts.
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First Premise is Particular Affirmative (I-type).
Second Premise is Universal Negative (E-type).
Some skirts are benches. ↔ No bench is a table.Correct Option: B
First Premise is Particular Affirmative (I - type).
Second Premise is Universal Negative (E - type).
Some skirts are benches. ↔ No bench is a table.
I + E ⇒ O – type of Conclusion “Some skirts are not tables.”
Conclusion II is Converse of the first Premise.
Direction: In the following questions, two statements are given followed by two conclusions I and II. You have to consider the two statements to be true, even if they seem to be at variance from commonly known facts. You are to decide which of the given conclusions can definitely be drawn from the given statements. Indicate your answer.
- Statements:
All children are playful.
Some animals are playful.
Conclusions:
I. Some animals are children.
II. Some children are animals.
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We can align the premises by converting the second premise.
All children are playful. ↔ some playfuls are animals.Correct Option: B
We can align the premises by converting the second premise.
All children are playful. ↔ some playfuls are animals.
We know that,
A + I → No conclusion.
Direction: Two statements are given below followed by four alternative inferences. Select the one which is most appropriate.
- Statements:
(i) All radios sold in that shop are of high standard.
(ii) Some of Murphy radios are sold in that shop.
Inferences:
I. All radios of high standard are manufactured by Murphy company,
II. Some of the Murphy radios are of high standard.
III. None of the Murphy radios is of high standard.
IV. Some of the Murphy radios of high standard are sold in that shop.
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Since some of Murphy radios are sold in that shop which sells high standard radios.
Correct Option: B
Since some of Murphy radios are sold in that shop which sells high standard radios. Therefore, some of the Murphy radios are of high standard.
