Discussion
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- Question
- Statements:
a. Mary said, "Ann and I both have cats."
b. Ann said, "I don't have a cat."
c. Mary always tells the truth, but Ann sometimes lies.
Conclusions:
I. Ann has a cat.
II. Mary has a cat.
III. Ann is lying.
Options- A. II only
- B. I and II only
- C. I, II and III
- D. I only
- Correct Answer
- I, II and III
ExplanationMary always tells the truth. Therefore, both Mary and Ann have cats. Clearly, Ann is lying. Thus, all the Conclusions I, II and III follow.
- 1. Statements:
I. All squares are rectangles.
II. All rectangles are polygons.
Conclusion:
Options- A. Square is not a polygon.
- B. Square is a polygon.
- C. Square is a rectangle and polygon.
- D. Square is not a rectangle. Discuss
- 2. Statements:
All crows are birds.
All peacocks are crows.
Conclusions:
I. All peacocks are birds.
II. All birds are peacocks.
Options- A. Both conclusions I and II follow
- B. Neither conclusion I nor II follows
- C. Only conclusion I follows
- D. Only conclusion II follows Discuss
- 3. Statements:
Some flies are ants.
All insects are ants.
Conclusions:
I. All flies are ants.
II. Some ants are insects.
Options- A. Only Conclusion I follows
- B. Only Conclusion II follows
- C. Both Conclusion I and Conclusion II follow
- D. Neither Conclusion I nor Conclusion II follows Discuss
- 4. Statements:
1. All mangoes are golden in colour.
2. No golden coloured things are cheap.
Conclusions:
I. All mangoes are cheap.
II. Golden?coloured mangoes are not cheap.
Options- A. Only Conclusion I follows
- B. Only Conclusion II follows
- C. Either Conclusion I or Conclusion II follows
- D. Both Conclusions I and II follow Discuss
- 5. Statements:
1. All animals are four footed.
2. Dog has two legs.
Conclusions:
I. Dog is not an animal.
II. Dog is an animal.
Options- A. If only I follows
- B. If only II follows
- C. If neither I nor II follows
- D. If both I and II follow Discuss
- 6. Statements:
1. All stenographers are lazy.
2. Some men are stenographers.
Conclusions:
I. All lazy people are men.
II. Some men are lazy.
Options- A. Only Conclusion I follows
- B. Only Conclusion II follows
- C. Both Conclusion I and Conclusion II follow
- D. Neither Conclusion I nor Conclusion II follows Discuss
- 7. Statements:
Some pens are pencils.
Some pencils are erasers.
Some erasers are sharpeners.
Conclusions:
I. Some sharpeners are pens.
II. Some pencils are sharpeners.
III. Some erasers are pens.
Options- A. None follows
- B. Only II follows
- C. Only III follows
- D. All follow Discuss
- 8. Statements:
All boys are tall.
Rajiv is a boy.
Conclusions:
I. Rajiv is tall.
II. Rajiv is not tall.
Options- A. Only Conclusion I follows
- B. Only Conclusion II follows
- C. Both Conclusion I and Conclusion II follow
- D. Neither Conclusion I nor Conclusion II follows Discuss
- 9. Statements:
1. All elephants are men.
2. All men are socks.
Conclusions:
I. Some socks are elephants.
II. All elephants are socks.
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
- 10. Statement:
Some radios are telephones. All telephones are mirrors. All mirrors are desks.
Conclusions:
I. Some radios are desks.
II. Some radios are mirrors.
III. Some desks are telephones.
Options- A. Only I and II follow
- B. Only I and III follow
- C. Only II and III follow
- D. All follow Discuss
Syllogism problems
Search Results
Correct Answer: Square is a rectangle and polygon.
Explanation:
Both the Premises are Universal Affirmative (A?type).
All squares are rectangles. ? All rectangles are polygons.
A + A ? A?type of Conclusion "All squares are polygons."
Thus, square is rectangle (given) and square is polygon (derived).
Correct Answer: Only conclusion I follows
Explanation:
Both the Premises are Universal Affirmative (A-type).
All peacocks are crows. ? All crows are birds.
A + A ? A-type of Conclusion "All peacocks are birds."
This is Conclusion I.
Correct Answer: Only Conclusion II follows
Explanation:
First Premise is Particular Affirmative (I?type).
Second Premise is Universal Affirmative (A?type).
All insects are ants. ? Some ants are flies.
A + I ? No Conclusion
Conclusion II is the Converse of the second Premise.
Correct Answer: Only Conclusion II follows
Explanation:
First Premise is Universal Affirmative (A?type).
Second Premise is Universal Negative (E?type).
All mangoes are golden in colour. It implies that all mangoes without an exception are golden in colour.
No golden coloured things are cheap.
Thus, Conclusion II follows.
Correct Answer: If only I follows
Explanation:
All animals (without exception) are four?footed.
Dog has two legs. Therefore dog is not an animal.
Thus, only Conclusion I follows.
Correct Answer: Only Conclusion II follows
Explanation:
First Premise is Universal Affirmative (A-type).
Second Premise is Particular Affirmative (I-type).
Some men are stenographers. ? All stenographers are lazy.
I + A ? I-type of Conclusion "Some men are lazy".
This is Conclusion II.
Correct Answer: None follows
Explanation:
All the three Premises are particular (I?type). No Conclusion follows from the two particular premises.
Correct Answer: Only Conclusion I follows
Explanation:
Both the Premises are Universal Affirmative (A ? type).
Rajiv is a boy. ? All boys are tall.
A + A ? A-type of Conclusion "Rajiv is tall".
This is Conclusion I.
Venn diagrams:
Correct Answer: Both Conclusions I and II follow
Explanation:
Both the Premises are Universal Affirmative (A?type).
All elephants are men. ? All men are socks.
A + A ? A?type of Conclusion "All elephants are socks."
This is Conclusion II.
Conclusion I is the Converse of it.
Correct Answer: All follow
Explanation:
Some radios are telephones + All telephones are mirrors = I + A = I = Some radios are mirrors Hence II follows Some radios are mirrors + All mirrors are desks = I + A = I = Some radios are desks Hence I follows. All telephones are mirrors + All mirrors are desks = A + A + = All telephones are desks ? conversion ? Some desks are telephones (I). Hence III follows.
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