Question 1

Statement: Some bags are plates. Some plates are chairs. All chairs are tables. Conclusions: I. Some tables are plates. II. Some chairs are bags. III. No chair is bag.

Accepted Answer

Some pates are chairs + All chairs are tables = I + A = I = Some plates are tables → conversion → Some tables are plates(I). Hence I follows. Some bags are plates + Some plates are chairs = I + I = No conclusion Hence II and III do not follow. By combination. However, the two form a complementary E-I pair, Hence either I or III follows.

Question 2

Statement: All desks are rooms. Some rooms are halls. All halls are leaves. Conclusions: I. Some leaves are desks. II. Some halls are desks. III. Some leaves are rooms.

Accepted Answer

Some rooms are halls + All halls are leaves = I + A = I = Some rooms are leaves → conversion → Some leaves are rooms(I) Hence III follows. All desks are rooms + Some rooms are halls = A + I = No conclusion Hence II and consequently I do not follow.

Question 3

Statement: Some doctors are lawyers. All teachers are lawyers. Some engineers are lawyers. All engineers are businessmen. Conclusions: I. Some teachers are doctors. II. Some businessmen are lawyers. III. Some businessmen are teachers. IV. Some lawye…

Accepted Answer

All teachers are lawyers (A) → conversion → Some lawyers are teachers (I). Hence IV follows. Now, Some doctors are lawyers + Some lawyers are teachers = I + I = No conclusion Hence I does not follow. Some engineers are lawyers (I) → conversion → Some lawyers are engineers + All engineers are businessmen = I + A = I = Some lawyers are businessmen → conversion Some businessmen are lawyers Hence II follows. But , All teachers are lawyers + Some lawyers are businessmen = A + I = No conclusion Hence III does not follow.

Question 4

Statement: All plastics are glasses. Some sponges are glasses. All sponges are clothes All clothes are liquids. Conclusions: I. All liquids are sponges. II. Some plastics are clothes. III. All glasses are plastics. IV. All liquids are clothes.

Accepted Answer

All sponges are clothes + All clothes are liquids = A + A = All sponges are liquids → conversion → Some liquids are sponges (I). Hence I does not follows. All plastics are glasses + conversion of Some sponges are glasses = A + I = No conclusion Hence II does not follow. All plastics are glasses (A) → conversion → Some glasses are plastics (I) Hence III does not follow. All clothes are liquids(A) conversion Some liquids are clothes (I) Hence IV does not follow.

Question 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.

Accepted Answer

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.

Question 6

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.

Accepted Answer

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.

Question 7

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.

Accepted Answer

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.

Question 8

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.

Accepted Answer

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.

Question 9

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.

Accepted Answer

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.

Question 10

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.

Accepted Answer

All 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.

Question 11

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.

Accepted Answer

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.

Question 12

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

Accepted Answer

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.

Question 13

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.

Accepted Answer

I-type statements can't be combined. However, I and III form a complementary I-E pair, Hence either I or III follows.

Question 14

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.

Accepted Answer

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.

Question 15

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.

Accepted Answer

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.

Question 16

Statement: Some doors are handles. All handles are pins. Some pins are threats. All threats are clothes. Conclusions: I. Some cloths are pins. II. Some pins are doors. III. Some clothes are handles. IV. Some clothes are doors.

Accepted Answer

Some pins are threats + All threats are clothes = I + A = I = Some pins are clothes → conversion → Some clothes are pins (I) Hence I follows. Some doors are handles + All handles are pins = I + A = I = Some doors are pins → conversion → Some pins are doors (I) Hence II follows. All handles are pins + Some pins are clothes = I + A = No conclusion Hence III does not follow. Nor does IV follow consequently.

Question 17

Statement: Some papers are lamps. Some lamps are bulbs. Some bulbs are tube. Some tubes are walls. Conclusions: I. Some walls are lamps. II. Some bulbs are papers. III. Some tubes are lamps. IV. Some walls are papers.

Accepted Answer

I-type statements can't be combined.

Question 18

Statement: All belts are rollers. Some rollers are wheels. All wheels are mats. Some mats are cars. Conclusions: I. Some mats are rollers. II. Some mats are belts. III. Some cars are rollers. IV. Some rollers are belts.

Accepted Answer

Some rollers are wheels + All wheels are mats = I + A = I = Some rollers are mats → conversion → Some mats are rollers (I) Hence I follows. Some rollers are mats + Some mats are cars = I + I = No conclusion Hence III does not follow. All belts are rollers (A) → conversion → Some rollers are belts(I) Hence IV follows. All belts are rollers + Some rollers are mats = I + A = No conclusion Hence II does not follow.

Question 19

Statement: Some tyres are rains. Some rains are flowers. All flowers are jungles. All jungles are tubes. Conclusions: I. Some jungles are tyres. II. Some tubes are rains. III. Some jungles are rains. IV. Some tubes are flowers.

Accepted Answer

All flowers are jungles + All jungles are tubes = A + A = A = All flowers are tubes → conversion → Some tubes are flowers (I) Hence Iv follows. Some rains are flowers + All flowers are tubes = I + A = I = Some rains are tubes → conversion → Some tubes are rains (I) Hence II follows. Some rains are flowers + All flowers are jungles = I + A = I = Some rains are jungles → conversion → Some jungles are rains (I) Hence III follows. Some tyres are rains + Some rains are jungles = A + I = No conclusion Hence I does not follow.

Question 20

Statement: All desks are chairs. All chairs are tables. All tables are boxes. All boxes are trunks Conclusions: I. Some trunks are tables. II. All chairs are boxes. III. Some boxes are desks. IV. All desks are trunks.

Accepted Answer

All tables are boxes + All boxes are trunks = A + A = A = All tables are → trunks → conversion Some trunks are tables (I) Hence I follows. All chairs are tables + All tables are boxes = A + A = A = All chairs are boxes Hence II follows. All desks are chairs + All chairs are boxes = A + A = A = All desks are boxes → conversion → some boxes are desks (I) Hence III follows. All desks are boxes + All boxes are trunks = A + A = A = All desks are trunks Hence IV follows.

Syllogism Questions