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- Question
- Statement:
All windows are doors. All buildings are doors. All doors are boats.
Conclusions:
I. All windows are boats.
II. All buildings are boats.
III. Some boats are doors.
Options- A. Only I and II follow
- B. Only I and III follow
- C. Only II and III follow
- D. All follow
- Correct Answer
- All follow
ExplanationAll windows are doors + All doors are boats = A + A = A = All windows are boats. Hence I follows. All buildings are doors + All doors are boats = A + A = A = All buildings are boats. Hence II follows. All doors are boats (A) ? conversion ? Some boats are doors(I). Hence III follows.
- 1. Statement:
All flowers are trees. Some trees are houses All houses are wheels.
Conclusions:
I. Some wheels are trees.
II. Some trees are flowers.
III.Some wheels are flowers.
Options- A. Only I and II follow
- B. Only I and III follow
- C. Only II and III follow
- D. All I, II and III follow Discuss
- 2. Statement:
Some desks are chairs. Some chairs. Some chairs are pens. Some pens. Some pens are drawers.
Conclusions:
I. Some drawers are desks.
II. Some drawers is chairs.
III. No drawer is chair.
Options- A. None follows
- B. Only II follows
- C. Only III follows
- D. Only either II or III follow Discuss
- 3. Statement:
All tables are sofas. All sofas are beds. All beds are mats.
Conclusions:
I. Some mats are sofas.
II. Some beds are tables.
III. Some mats are tables.
Options- A. None follows
- B. Only II follows
- C. Only I and III follows
- D. Only II and III follows Discuss
- 4. Statement:
All flowers are trees. All trees are jungles. No jungle is hill.
Conclusions:
I. No flower is hill.
II. No tree is hill
III. Some jungles are flowers.
Options- A. None follows
- B. Only I and II follows
- C. Only I and III follows
- D. Only II and III follows Discuss
- 5. Statement:
Some buses are trucks. Some trucks are boats. No boat is jeep.
Conclusions:
I. Some jeeps are buses.
II. Some boats are buses.
III. Some jeeps are trucks.
Options- A. None follows
- B. Only I follows
- C. Only II follows
- D. Only III follows Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Syllogism problems
Search Results
Correct Answer: Only I and II follow
Explanation:
Some trees are houses + All houses are wheels = I + A = I = Some trees are wheels ? (I) conversion ? Some wheels are trees (I). Hence I follows. All flowers are tree ? (A) conversion ? Some trees are flowers (I). Hence II follows. But II and III can't, be combined as they are I -type statements Hence III does not follow.
Correct Answer: Only either II or III follow
Explanation:
I-type statements can't be combined no conclusion follow by combined But II and III make a complementary I-E pair, Hence either I or III follows.
Correct Answer:
Explanation:
All sofas are beds + All beds are mats = A + A = A = All sofas are mats ? conversion ? Some mats are sofas (I). Hence I follows. All tables are sofas + All sofas are beds = A + A = A = All tables are beds ? conversion ? Some beds are tables(I). Hence II follows. All tables are beds + All beds are mats = A + A = A = All tables are mats ? conversion ? Some mats are tables (I). Hence III follows.
Correct Answer: Only II and III follows
Explanation:
All flowers are trees + All trees are jungles = A + A = A = All flowers are jungles ? conversion ? Some jungles are flowers Hence III follows. All trees are jungle + No jungle is hill = A + E = E = No tree is hill. Hence III follows. All flowers are trees + No tree is hill. Hence II follows. All flowers are trees + No tree is hill = A + E = E = No flower is hill. Hence I follows.
Correct Answer: None follows
Explanation:
Some buses are trucks + Some trucks are boats = I + I = No conclusion Hence II and consequently do not follow Some trucks are boats + No boat is jeep = I + E = O = Some trucks are not jeeps. Hence III does not follow.
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: 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: 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:
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: 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 :
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