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- Question
Statements: Some books are pens. No pen is pencil.
Conclusions:
- Some pens are books.
- Some pencils are books.
- Some books are not pencils.
- All pencils are books.
Options- A. Only I follows
- B. Only II and III follow
- C. Only I and III follow
- D. Only I and II follow
- Correct Answer
- Only I and III follow
ExplanationSince one premise is particular and the other negative, the conclusion must be particular negative and should not contain the middle term. Thus, III follows. I is the converse of the first premise and so it also holds. - 1. Statements: All terrorists are guilty. All terrorists are criminals.
Conclusions:
- Either all criminals are guilty or all guilty are criminals.
- Some guilty persons are criminals.
- Generally criminals are guilty.
- Crime and guilt go together.
Options- A. Only I follows
- B. Only I and III follow
- C. Only II follows
- D. Only II and IV follow Discuss
- 2. Statements: Some tables are TVs. Some TVs are radios.
Conclusions:
- Some tables are radios.
- Some radios are tables.
- All radios are TVs.
- All TVs are tables.
Options- A. None follows
- B. All follow
- C. Only I and III follow
- D. Only II and IV follow Discuss
- 3. Statements: Some clothes are marbles. Some marbles are bags.
Conclusions:
- No cloth is a bag.
- All marbles are bags.
- Some bags are clothes.
- No marble is a cloth.
Options- A. Only either I or IV follows
- B. Only either I or II follows
- C. None follows
- D. Only either I or III follows Discuss
- 4. Statements: All politicians are honest. All honest are fair.
Conclusions:
- Some honest are politicians.
- No honest is politician.
- Some fair are politicians.
- All fair are politicians.
Options- A. None follows.
- B. Only I follows.
- C. Only I and II follow.
- D. Only I and III follow Discuss
- 5. Statements: All aeroplanes are trains. Some trains are chairs.
Conclusions:
- Some aeroplanes are chairs.
- Some chairs are aeroplanes.
- Some chairs are trains.
- Some trains are aeroplanes.
Options- A. None follows
- B. Only I and II follow
- C. Only II and III follow
- D. Only III and IV follow Discuss
- 6. Statements: Some bottles are drinks. All drinks are cups.
Conclusions:
- Some bottles are cups.
- Some cups are drinks.
- All drinks are bottles.
- All cups are drinks.
Options- A. Only I and II follow
- B. Only II and III follow
- C. Only II and IV follow
- D. Only III and IV follow
- E. Only I and IV follow Discuss
- 7. Statements: Some houses are offices. Some offices are schools.
Conclusions:
- Some schools are houses.
- Some offices are houses.
- No house is school.
- Some schools are offices.
Options- A. Only II and III follow
- B. Only I and IV follow
- C. Only either III or IV, and I follow
- D. Only II and IV and either I or III follow. Discuss
- 8. Statements: Some taxis have horns. Some taxis have lights.
Conclusions:
- Every taxi has either horn or light.
- Some taxis have neither light nor horn.
- Some taxis have horns as well as lights.
- No taxi has horn as well as light.
Options- A. Only I and II follow
- B. Only II and III follow
- C. Only II and IV follow
- D. Either III or IV follows
- E. All follow Discuss
- 9. Statements:
All fruits are vegetables. All pens are vegetables. All vegetables are rains.
Conclusions:
- All fruits are rains.
- All pens are rains.
- Some rains are vegetables.
Options- A. None follows
- B. Only I and II follow
- C. Only II and III follow
- D. Only I and III follow
- E. All follow Discuss
- 10. Statements: Some towels are brushes. No brush is soap. All soaps are rats.
Conclusions:
- Some rats are brushes.
- No rat is brush.
- Some towels are soaps.
Options- A. None follows
- B. Only either I or II follows
- C. Only II follows
- D. Only I and III follow
- E. None of these Discuss
Logical Deduction problems
Search Results
Correct Answer: Only II follows
Explanation:
Since the middle term 'terrorists' is distributed twice in the premises, the conclusion cannot be universal. So, it follows that 'Some guilty persons are criminals'. Thus, II holds.
Correct Answer: None follows
Explanation:
Since both the premises are particular, no definite conclusion follows.
Correct Answer: Only either I or III follows
Explanation:
Since both the premises are particular, no definite conclusion follows. However, I and III involve only the extreme terms and form a complementary pair. Thus, either I or III follows.
Correct Answer: Only I and III follow
Explanation:
Clearly, it follows that 'All politicians are fair'. I is the converse of the first premise, while III is the converse of the above conclusion. So, both I and III hold.
Correct Answer: Only III and IV follow
Explanation:
Since the middle term 'trains' is not distributed even once in the/premises, no definite conclusion follows. However, III is the converse of the second premise while IV is the converse of the first premise. So, both of them hold.
Correct Answer: Only I and II follow
Explanation:
Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, it follows that 'Some bottles are cups'. Thus, I follows. II is the converse of the second premise and so it also holds.
Correct Answer: Only II and IV and either I or III follow.
Explanation:
Since both the premises are particular, no definite conclusion follows. However, I and III involve only the extreme terms and form a complementary pair. So, either I or III follows. II is the converse of the first premise while IV is the converse of the second premise. Thus, both of them hold.
Correct Answer: Either III or IV follows
Explanation:
Since both the premises are particular, no definite conclusion follows. However, III and IV form a complementary pair. Thus, either III or IV follows.
Correct Answer: All follow
Explanation:
III is the converse of the third premise and so it holds.
All fruits are vegetables. All vegetables are rains.
The conclusion must be universal affirmative and should not contain the middle term.
So, it follows that 'All fruits are rains'. Thus, I follows.
All pens are vegetables. All vegetables are rains.
Clearly, it follows that 'All pens are rains'. Thus, II follows.
Correct Answer: Only either I or II follows
Explanation:
Some towels are brushes. No brush is soap.
Since one premise is particular and the other negative, the conclusion must be particular negative (O-type) and should not contain the middle term. So, it follows that 'Some towels are not soaps'. No brush is soap. All soaps are rats.
Since the middle term is distributed twice, the conclusion must be particular. Since one premise is negative, the conclusion must be negative. So, it follows that 'Some brushes are not rats'. Since I and II involve the same terms and form a complementary pair, so either I or II follows.
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