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- Question
- 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
- Correct Answer
- Only I and II follow
ExplanationSome 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.
- 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. Statement:
All pins are bags. All chalks are bags. All needles are bags.
Conclusions:
I. Some needles are pins.
II. Some chalks are needles.
III. No needle is pin.
Options- A. Only I follows
- B. Only III follows
- C. Only either I or III follows
- D. Only either I or III and II follows Discuss
- 6. 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 Discuss
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Syllogism problems
Search Results
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: Only either I or III follows
Explanation:
All pins are bags (A) ? conversion ? Some bags are pins (I). All needles are bags + Some bags are pins = A + I = No conclusion Hence I and III do not follow by combination. However, they from an complementary E-I pair, either I or III follows. Again, All chalks are bags + conversion of all needles are bags = A + I = No conclusion Hence II do not follow.
Correct Answer: All follow
Explanation:
All 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.
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.
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