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- Question
- For the Venn diagram given below, which of the following conclusion(s) is/are true?
I. Some Captains are painters.
II. Some Lieutenants are painters.
III. All Majors are soldiers.
IV. All Captains are soldiers.
V. All soldiers are painters.
Options- A. Only I and V follows
- B. Only I, III and IV follows
- C. Only II, IV and V follows
- D. Only III and IV follows
- Correct Answer
- Only III and IV follows
ExplanationAll Majors are captains.
All Majors are Lieutenants.
All Majors are Soldiers.
(This is Conclusion III )
All captains are Soldiers.
(This is Conclusion IV ).
All Lieutenants are Soldiers.
All Painters are Soldiers.
No Painter is Captain. - 1. Select the alternative inference which is most appropriate.
"All professors are learned; learned people are always gentle."
Inference: All professors are gentle persons.
Options- A. The inference is true.
- B. The inference is false.
- C. The inference is probably true or probably false.
- D. The inference is irrelevant. Discuss
- 2. Statements:
I. Some keys are locks, some locks are numbers.
II. All numbers are letters, all letters are words.
Conclusions:
I. Some words are numbers.
II. Some locks are letters.
Options- A. Conclusion I follows
- B. Conclusion II follows
- C. Conclusions I and II follow
- D. None of the conclusion follows Discuss
- 3. In the following question a statement is followed by four inferences. Select the one which is most appropriate.
All the books, written by Prabhakar, are textbooks.
Some of his books are published by Pitamber Publishing Company.
Options- A. All the books published by Pitamber Publishing Company have been written by Prabhakar.
- B. Pitamber Publishing Company publishes some critical essays written by Prabhakar.
- C. Some textbooks written by Prabhakar are published by publishers other than Pitamber Publishing Company.
- D. Pitamber Publishing Company only publishes textbooks. Discuss
- 4. Statement:
Some rivers are hills. No hill is taxi. All taxis are buses.
Conclusions:
I. Some buses are rivers.
II. Some taxis are rivers.
III. No bus is river.
Options- A. None follows
- B. Only I follows
- C. Only III follows
- D. Only II follows Discuss
- 5. Statement:
All stones are rivers. All rivers are cars. Some cars are trains.
Conclusions:
I. Some trains are stones.
II. Some cars are stones.
III. Some trains are rivers.
Options- A. None follows
- B. Only I follows
- C. Only II follows
- D. Only III follows Discuss
- 6. Statements :
Some peons are poor.
X is poor.
Conclusions :
I. X is a peon.
II. X has a large family.
Options- A. Only I follows
- B. Only II follows
- C. Both I & II follow
- D. Neither I nor II follows Discuss
- 7. Statements:
(A) All basketball players are tall men.
(B). All basketball players are athletes.
Conclusions:
I. All tall men are basketball players.
II. All athletes are basketball players.
Options- A. I alone can be drawn
- B. Both can be drawn
- C. Both cannot be drawn
- D. II alone can be drawn Discuss
- 8. Statements:
Some doctors are teachers.
All teachers are counsellors.
Conclusions:
I. Some counsellors are not teachers.
II. Some doctors are counsellors
Options- A. Only conclusion I follows
- B. Only conclusion II follows
- C. Both conclusion I and II follow
- D. Neither conclusion I nor II follow Discuss
- 9. Statement:
(a) All politicians are intelligent
(b) Some women are politicians
Conclusions:
I. Some women are intelligent
II. All those intelligent are women.
Options- A. Only conclusion I follows
- B. Only conclusion II follows
- C. Both conclusions I & II follow
- D. Neither conclusion I nor conclusion II follows Discuss
- 10. 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
Syllogism problems
Search Results
Correct Answer: The inference is true.
Explanation:
All professors are learned and learned people are always gentle. So, all professors are gentle persons. It means the Inference is true.
Correct Answer: Conclusions I and II follow
Explanation:
Statement I consists of two Particular Affirmative (I-type) Premises.
Statement II consists of two Universal Affirmative (A-type) Premises.
Some locks are numbers. ? All numbers are letters.
I + A ? I-type of Conclusion "Some locks are letters".
This is Conclusion II.
All numbers are letters. ? All letters are words.
A + A ? A-type of Conclusion "All numbers are words".
Conclusion I is Converse of it.
Correct Answer: Some textbooks written by Prabhakar are published by publishers other than Pitamber Publishing Company.
Explanation:
The given statement can be shown by the following diagram :
Correct Answer:
Explanation:
Some rivers are hills + No hill is taxi = I + E = O = Some rivers are not taxis Hence II does not follow. Again, Since O-type statements can't be combined, neither I nor III follows. But the two form a complementary E- I pair, Hence either I or III follows.
Correct Answer: Only II follows
Explanation:
All stones are rivers + All rivers are cars = A + A = A = All stones are cars ? conversion ? Some cars are stones (I) Hence II follows. All rivers are cars + Some cars are trains = I + A = No conclusion Hence II and consequently I do not follow.
Correct Answer: Neither I nor II follows
Explanation:
The first premise is particular Affirmative (I- Type). The second premise is Universal Affirmative (A-Type).
We can align the premises by converting the first premise and changing their order. Thus,
X is poor ? Some poors are peons have a doctorate degree.
We know that,
A + I = No conclusion.
Correct Answer: Both cannot be drawn
Explanation:
Both the Premises are Universal Affirmative (A-type). We can align the Premises by taking converse of any of the premises.
Some tall men are basketball players ? All basketball players are athletes.
I + A ?I - type of conclusion "Some tall men are athletes".
Correct Answer: Only conclusion II follows
Explanation:
First premise is Particular Affirmative (I?type).
Second premise is Universal Affirmative (I-type).
Both the premises are already aligned. Thus,
Some doctors are teachers ? All teachers are counsellors.
We know that, I + A ? I-type conclusion.
Therefor, our derived conclusion would be:
"Some doctors are counsellors". Thus, only conclusion II follows.
Correct Answer: Only conclusion I follows
Explanation:
Some women are politicians. ? All politicians are intelligents.
We know that,
I + A ?I?type Conclusion Thus, our derived Conclusion would be: "Some women are intelligent".
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.
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