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- Question
- Statements:
(a) All dogs are books
(b) All books are pictures.
Conclusion:
I. All dogs are pictures.
II. All books are dogs.
III. All pictures are dogs.
IV. Some pictures are books.
Options- A. Only I and IV follow
- B. Only II and III follow
- C. Either II or III follows
- D. Either II or IV follows
- Correct Answer
- Only I and IV follow
ExplanationBoth the Premises are Universal Affirmative (A-type).
All dogs are books. ? All books are pictures.
A + A ? A-type of Conclusion "All dogs are pictures."
This is Conclusion I.
Conclusion IV is Converse of the second Premise. - 1. Statements:
(a) All frogs are tortoises.
(b) No tortoise is a crocodile.
Conclusions:
I. No crocodile is a frog.
II. No frog is a crocodile.
Options- A. Only I follows
- B. Only II follows
- C. Both I and II follow
- D. Neither I nor II follows Discuss
- 2. Statements:
All Americans are English speaking.
No Eskimos are English speaking.
Conclusions:
I. No Eskimos are Americans.
II. No English-speakers are Eskimos.
Options- A. Only I follows
- B. Neither I nor II follows
- C. Only II follows
- D. Both I and II follow Discuss
- 3. Statements:
P. All men are women.
Q. All women are crazy.
Conclusions:
I. All men are crazy.
II. All the crazy are men.
III. Some of the crazy are men.
IV. Some of the crazy are women.
Options- A. None of the conclusions follows
- B. All the conclusions follow
- C. Only I, III and IV follow
- D. Only II and III follow Discuss
- 4. Statements:
A. All girls are proud.
B. All proud will be humiliated one day.
Inferences:
I. All girls will be humiliated one day.
II. Some girls will be humiliated one day.
Options- A. Only I follows
- B. Only II follows
- C. Both I & II follow
- D. Neither of them follows Discuss
- 5. Statements:
(A) Some cats are dogs.
(B) Some dogs are stones.
Conclusions:
I. No cat is stone.
II. All dogs are stones.
III. Some stones are cats.
IV. No dog is cat.
Options- A. Only I and III follow
- B. Only II and III follow
- C. Only I, III and IV follow
- D. None follows Discuss
- 6. Statements:
(a) All books are boxes.
(b) All boxes are pens.
(c) All pens are papers.
Conclusions:
I. Some papers are books.
II. All books are papers.
III. Some pens are books.
IV. All boxes are books.
Options- A. Only conclusions I and III follow
- B. Either conclusion II or IV follows
- C. Only conclusions I, II and III follow
- D. Either conclusion I or II or III follows Discuss
- 7. Statements:
Some teachers are students.
All students are girls.
Conclusions:
(I) All teachers are girls.
(II) Some girls are teachers.
(III) Some girls are students.
(IV) All students are teachers.
Options- A. Only (I) follows
- B. Only (I), (II), and (III) follow
- C. Only (II) and (III) follow
- D. All follow Discuss
- 8. Statement:
(a) All students like excursions.
(b) Some students like laboratory experiments.
Conclusions:
(I) Students who like laboratory experiments also like excursions.
(II) Some students do not like laboratory experiments but like excursions.
Options- A. Only Conclusion I follows
- B. Only Conclusion II follows
- C. Both Conclusions I and II follow
- D. Neither Conclusion I nor II follows Discuss
- 9. Statements:
All hens are cocks.
No cock is black.
Conclusions:
I. All cocks are hens.
II. No hen is black.
Options- A. Only conclusion I is valid
- B. Only conclusion II is valid
- C. Both the conclusions are valid
- D. Both the conclusions are invalid Discuss
- 10. Statements:
Dogs have four legs.
Tables have four legs.
Conclusions
I. Tables are dogs.
II. Dogs are tables.
Options- A. Only I follows
- B. Only II follows
- C. Either I or II follows
- D. Neither I nor II follows Discuss
Syllogism problems
Search Results
Correct Answer: Both I and II follow
Explanation:
First Premise is Universal Affirmative (A-type).
Second Premise is Universal Negative (E-type).
All frogs are tortoises. ? No tortoise is a crocodile.
A + E ? E-type of Conclusion "No frog is a crocodile".
This is Conclusion II.
Conclusion I is Converse of this Conclusion.
Correct Answer: Both I and II follow
Explanation:
We can align the premises by converting the second premise.
All Americans are English speaking. ? No English speakers are Eskimos.
We know that,
A + E ? E type conclusion Thus, our derived conclusion would be:
"No Americans are Eskimos."
Conclusion I is the converse of the derived conclusion.
Conclusion II is the converse of second premise.
Correct Answer: Only I, III and IV follow
Explanation:
Both the Premises are Universal Affirmative (A-type).
All men are women. ? All women are crazy.
A + A ? A ? type of Conclusion
"All men are crazy".
This is Conclusion I. Conclusion III is the Converse of it.
Conclusion IV is the Converse of Statement Q.
Correct Answer: Both I & II follow
Explanation:
Both the Premises are Universal Affirmative (A-type).
Both the Premises are already aligned.
All girls are proud ? All proud will be humiliated one day
We know that,
A + A ? A ? type Conclusion Therefore, our derived Conclusion would be:
"All girls will be humiliated one day".
Conclusion II is the converse of the derived Conclusion. Thus, both the Conclusions follow.
Correct Answer: None follows
Explanation:
Both the Premises are Particular Affirmative (I-type).
No Conclusion follows from the two Particular Premises.
Conclusions I and III form Complementary Pair. Therefore, either Conclusion I or III follows. Considering the given Options we can select option (4) as the answer.
Correct Answer: Only conclusions I, II and III follow
Explanation:
All the three statements are Universal Affirmative (A-type).
All books are boxes. ? All boxes are pens.
A + A ? A-type of Conclusion "All books are pens."
Conclusion III is Converse of it.
All books are pens. ?All pens are papers.
A + A ? A-type of Conclusion "All books are papers."
This is Conclusion II.
Conclusion I is Converse of it.
All boxes are pens. ? All pens are papers.
A + A ? A-type of Conclusion "All boxes are papers."
Correct Answer: Only (II) and (III) follow
Explanation:
First Premise is Particular Affirmative (I-type).
Second Premise is Universal Affirmative (A-type).
Some teachers are students. ? All students are girls.
I + A ? I-type of Conclusion "Some teachers are girls".
Conclusion II is Converse of it.
Conclusion III is Converse of the second Premise.
Correct Answer: Both Conclusions I and II follow
Explanation:
The given statements can be illustrated as:
Correct Answer: Only conclusion II is valid
Explanation:
All hens are cocks. (A) ? No cock is black. (E)
A + E ? E- type of conclusion "No hen is black."
This is Conclusion II.
Correct Answer: Neither I nor II follows
Explanation:
The given statement can be shown by the following diagram :
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