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- Question
- 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
- Correct Answer
- Conclusions I and II follow
ExplanationStatement 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. - 1. 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
- 2. 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
- 3. 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
- 4. Statement:
Some books are trees. All tress are roads. All roads are wheels.
Conclusions:
I. Some wheels are books.
II. Some roads are books.
III. Some wheels are trees.
Options- A. Only I and II follow
- B. Only II & III follow
- C. Only I and III follow
- D. All follow Discuss
- 5. Statement:
All buildings are mirrors. Some mirrors are pens. No pen is paper.
Conclusions:
I. Some papers are buildings.
II. Some pens are buildings.
III. Some papers are mirrors.
Options- A. None follow
- B. Only I follow
- C. Only II follow
- D. Only III follow Discuss
- 6. 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
- 7. 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 Discuss
- 8. 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
- 9. 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
- 10. 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
Syllogism problems
Search Results
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: All follow
Explanation:
Some books are trees + All tress are roads = I + A = I = Some books are roads (I) Hence II follows. Some books are trees + All roads are wheels = I + A = I = Some books are wheels ? conversion ? Some wheels are books (I) Hence I follows. All trees are roads + All roads are wheels = A + A = A = All trees are wheels ? conversion ? Some wheels are trees (I) Hence III follows.
Correct Answer: None follow
Explanation:
Some mirrors are pens + No pen is paper = 1 + E = O* = Some mirrors are not papers Hence III does not follow. All buildings are mirrors + Some mirrors are pens = A + I = No conclusion Hence II and consequently I do not follow.
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: Only III and IV follows
Explanation:
All 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.
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.
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