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- Question
- Statement:
Some doors are walls. All walls are floors. All floors are rooms. Some rooms are windows.
Conclusions:
I. All walls are rooms.
II. Some rooms are doors.
III. Some rooms are doors.
IV. Some floors are doors.
Options- A. None follows
- B. Only I & II follows
- C. Only II & III follows
- D. Only I, III & IV follows
- Correct Answer
- Only I, III & IV follows
ExplanationAll walls are floors + All floors are rooms = A + A = A = All walls are rooms Hence I follows. Some doors are walls + All walls are floors = I + A = I = Some doors are rooms ? conversion ? Some rooms are doors (I). Hence II follows. Conversion of gives us III. Some doors are walls + All walls are floors = I + A = I = Some doors (I) Hence IV follows.
- 1. Statement:
Some grapes are apples. Some apples are bananas . All bananas are guavas.
No guava is pomegranates.
Conclusions:
I. No grapes are pomegranates.
II. Some guavas are grapes.
III. Some guavas are apples.
IV. No bananas are pomegranates.
Options- A. None follows
- B. Only I & III follows
- C. Either II or III follows
- D. Both III & IV follow Discuss
- 2. Statement:
Some roses are flowers. Some flowers are buds. All buds are leaves. All leaves are plants.
Conclusions:
I. Some plants are flowers.
II. Some roses are buds.
III. No leaves are roses.
IV. No roses are buds.
Options- A. Only I follows
- B. Only I & II follows
- C. Only I and either II or IV follows
- D. Only either II and IV follows Discuss
- 3. Statement:
All chairs are tables. All tables are cushions. Some cushions are trolleys. All trolleys are lamps.
Conclusions:
I. Some lamps are tables.
II. Some trolleys are chairs.
III. Some cushions are lamps.
IV. All chairs are cushions.
Options- A. Only I follows
- B. Only III and IV follow
- C. Only either II or II follows
- D. All follows Discuss
- 4. Statement:
All parrots are pigeons. Some crows are pigeon. Some sparrows are crow. All sparrows are koels.
Conclusions:
I. Some koels are crows.
II. Some parrots are crows.
III. Some sparrows are pigeons.
IV. No crow is a parrot.
Options- A. None follows
- B. Only I follow
- C. Only II follows
- D. Only III follows Discuss
- 5. Statement:
All sands are beaches. All shores are beaches. Some beaches are trees. All trees are hotels.
Conclusions:
I. Some shores are hotels.
II. All beaches are shores
III. Some beaches are hotels.
IV. Some sands are trees.
Options- A. None follows
- B. Only II follows
- C. Only either I or III follows
- D. Only IV follows Discuss
- 6. Statement:
Some spoons are forks. Some forks are bowls. All bowls are plates. Some plates are utensils.
Conclusions:
I. Some utensils are forks.
II. Some plates are forks.
III. Some plates are spoon.
IV. Some utensils are spoons.
Options- A. Only I follows
- B. Only II follows
- C. Only I & III follows
- D. Only II & IV follows Discuss
- 7. Statement:
All chairs are tables. All tables are desks. Some desks are benches. Some desks are sofas.
Conclusions:
I. Some benches are sofas.
II. Some sofas are tables.
III. Some benches are tables.
Iv. No chair is bench
Options- A. None follows
- B. Only I & II follows
- C. Only II & III follows
- D. Only I, II & III follow Discuss
- 8. Statement:
Some sweets are chocolates. Some chocolates are mints. Some mints are food. Some food is diet.
Conclusions:
I. No sweets are diet.
II. No food is chocolates.
III. Some sweets are diet.
IV. Some sweets are food.
Options- A. None follows
- B. Either I or II follows
- C. Only III or IV follows
- D. Only II & III follows Discuss
- 9. Statement:
All dolls are toys. Some toys are gems. Some gems are boxes. All boxes are sticks.
Conclusions:
I. Some sticks are gems.
II. Some gems are dolls.
III. Some sticks are dolls.
IV. Some toys are dolls.
Options- A. Only I follows
- B. Only II follows
- C. Only III and IV follow
- D. Only I and IV follow Discuss
- 10. Statement:
Some days are nights. Some nights are weeks. Some weeks are months. All months are years.
Conclusions:
I. Some years are nights.
II. Some years are days.
III. Some months are nights.
IV. Some years are weeks.
Options- A. Only I, II and III follow
- B. Only I, III and IV follow
- C. Only II, III and IV follow
- D. All follow Discuss
Syllogism problems
Search Results
Correct Answer: Both III & IV follow
Explanation:
Some grapes are apples + Some apples are bananas = I + I = No conclusion So we can't move any further for ' grape' and this rules out I and II. Some apples are banana + All banana are guava = I + A = I = Some apples are guavas ? conversion ? Some guavas are apples (I). Hence III follows All bananas are guavas + No guava is pomegranates. Hence IV follows.
Correct Answer: Only I and either II or IV follows
Explanation:
Some flowers are buds + All buds are leaves + All leaves are plants = (I + A) + A = I = Some flowers are plants ? conversion ? Some plants are flowers (I). Hence I followers. Some roses are flowers + Some flowers are buds = I + I = No conclusion Hence II and IV do not follow by combination. Nor can III follow. However, II and IV form a complementary I-E pair, Hence either II or IV follows.
Correct Answer: Only III and IV follow
Explanation:
Some cushions are trolleys + All trolleys are lamps = I + A = I = Some cushions are lamps Hence III follows. All chairs are tables + All tables are cushions = A + A = A = All chairs are cushions Hence IV follows All tables are cushions + Some cushions are trolleys = A + I = No conclusion Hence I does not follow. All chairs are cushions + Some cushions are trolleys = A + I = No conclusion Hence II does not follow.
Correct Answer: Only II follows
Explanation:
Some sparrows are crow + Some crows are pigeons = I + I = No conclusion Hence III does not follow. Some crows are pigeons (I) ? conversion ? Some pigeons are crows (I) Now, all parrots are pigeons + Some pigeons are crows = A + I = No conclusion Hence II does not follow. Nor does IV follow. However conversion II from an I-E complementary pair with IV, Hence either I or IV follows. Some sparrows are crows(I) ? conversion ? Some crows are sparrows + All sparrows are koels ? conversion ? Some koels are crows (I). Hence I.
Correct Answer:
Explanation:
Some beaches are tree + All trees are hotels = I + A = I = Some beaches are hotels Hence III follows. Now, All shores are beaches + Some beaches are hotels = A + I = No conclusion Hence I does not follow. All shores are beaches (A) ? conversion ? Some beaches are shores (I). Hence II does not follow. All sands are beaches + Some beaches are trees = A + I = No conclusion Hence IV does not follow.
Correct Answer: Only II follows
Explanation:
Some forks are bowls + All bowls are plates = I + A = I = Some forks are plates ? conversion ? Some plates are forks(I). Hence II follows. Some forks are plates + Some plates are utensils = I + I = No conclusion Hence I does not follow. Some spoons are forks + Some forks are plates = I + I = NO conclusion Hence III and IV do not follow.
Correct Answer: None follows
Explanation:
Some desks are benches ? (I) conversion ? Some benches are desks (I) + Some desks are sofas = I + I = No conclusion Hence I does not follow. All tables are desks + Some desks are sofas = A + I = No conclusion Hence II does not follow. All tables are desks + Some desks are benches + A + I = No conclusion Hence III does not follow. For the same reason IV too does not follow.
Correct Answer: Either I or II follows
Explanation:
I-type statements can't be combined. However, I and III form a complementary I-E pair, Hence either I or III follows.
Correct Answer: Only I and IV follow
Explanation:
Some gems are boxes + All boxes are sticks = I + A = I = Some gems are sticks ? Conversion ? Some sticks are gems (I) Hence I follows All dolls are toys + Some toys are gems No conclusion Hence II and consequently III do not follow. All toys are dolls (A) ? conversion ? Some toys are dolls (I) Hence IV follows.
Correct Answer: Only I, III and IV follow
Explanation:
Some nights are weeks + All weeks are months = I + A = I = Some nights are month ? conversion ? Some months are nights (I) Hence III follows. = Some nights are month + All months are years = I + A = I Some nights are year ? conversion ? Some years are nights (I) Hence I follows. All weeks are months + All months are years = A + A = A = All weeks are years ? conversion ? Some years are weeks (I) Hence IV follows. Some days are nights + Some nights are years = I + I = No conclusion Hence II does not follow.
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