Ch. 21 :- Syllogism : Exercise 3


✦ Directions : In each of the question below are given two statements followed by two conclusions numbered I and II. You have to take the two given statements to be true even if they seem to be at variance from commonly known facts and decide which of the given conclusion(s) logically follow(s) from the two given statements, disregarding commonly known facts.

Given your answer as
(a) if only conclusion I follows
(b) if only conclusion II follows
(c) if either I or II follows
(d) if neither I nor II follows
(e) if both I and II follow

1. Statements :
1. Most crops are machines.
2. Some machines are fools.
Conclusions :
I. Some fools are machines.
II. Some crops are fools.

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2. Statements :
1. All trucks fly.
2. Some scooters fly.
Conclusions :
I. All trucks are scooters.
II. Some scooters do not fly.

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3. Statements :
1. All cakes are ice-creams.
2. All ice-creams are toffees.
Conclusions :
I. All cakes are toffees.
II. All toffees are ice-creams.

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4. Statements :
1. All pencils are bricks.
2. All bricks are bottles.
Conclusions :
I. All pencils are bottles.
II. All bricks are pencils.

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5. Statements :
1. Some pearls are gems.
2. Some gems are ornaments.
Conclusions :
I. Some gems are pearls.
II. Some ornaments are gems.

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6. Statements :
1. All cars are tables.
2. Some children are tables.
Conclusions :
I. Some cars are children.
II. Some children are cars.

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7. Statements :
1. All horses are bullocks.
2. All bullocks are goats.
Conclusions :
I. All horses are goats.
II. All goats are horses.

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8. Statements :
1. Some books are pencils.
2. Some pencils are pens.
Conclusions :
I. Some books are pens.
II. Some pens are books.

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9. Statements :
1. All trays are erasers.
2. All pens are erasers.
Conclusions :
I. All trays are pens.
II. Some pens are trays.

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10. Statements :
1. Some chalks are wires.
2. Some wires are frames.
Conclusions :
I. Some chalks are frames.
II. Some frames are chalks.

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11. Statements :
1. Some pastries are toffees.
2. All toffees are chocolates.
Conclusions :
I. Some chocolates are toffees.
II. Some toffees are not pastries.

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12. Statements :
1. All dogs are rats.
2. Some rats are lizards.
Conclusions :
I. Some. dogs are lizards.
II. Some lizards are dogs.

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13. Statements :
1. All lawyers are cheats.
2. Some women are lawyers.
Conclusions :
I. Some women are cheats.
II. All cheats are women.

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14. Statements :
1. All readers are teachers.
2. All writers are teachers.
Conclusions :
I. Some teachers are writers.
II. Some writers are readers.

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15. Statements :
1. All young girls are modem.
2. No modern men are superstitious.
Conclusions :
I. No girls are superstitious.
II. No young men are superstitious.

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16. Statements :
1. Some trees are houses.
2. Biscuit is a tree.
Conclusions :
I. Biscuit is not a tree.
II. Some houses are trees.

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17. Statements :
1. Some children are adults.
2. Some adults are old.
Conclusions :
I. Some children are not old.
II. Some adults are not old.

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✦ Directions : In each of the question below, there are two or three Statements given followed by four Conclusions numbered I, II, III and N. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusion(s) logically follow(s) from the given statements.

18. Statements :
1. Some singers are rockers.
2. All rockers are westerners.
Conclusions :
I. Some rockers are singers.
II. Some westerners are rockers.
III. Some singers are westerners.
(a) I, II and III follow
(b) I, II and IV follow
(c) II, III and IV follow
(d) I, III and IV follow
(e) All follow

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19. Statements :
1. All cats are bulls.
2. Some bulls are dogs.
Conclusions :
I. All bulls are cats.
II. Some cats are dogs.
III. No cats are dogs.
IV. Some bulls are cats.
(a) Only IV follows
(b) Only III follows
(c) Only II follows
(d) IV and II follow
(e) IV and either II or III follows

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20. Statements :
1. All pigs are elephants.
2. No pigs are bakers.
Conclusions :
I. Some bakers are not pigs.
II. Some pigs are not bakers.
III. Some elephants are not bakers.
IV. Some bakers are not elephants.
(a) I, II and III follow
(b) I, II and IV follow
(c) I, III and IV follow
(d) II, III and IV follow
(e) All follow

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21. Statements :
1. All nibs are tips.
2. Many nibs are ribs.
Conclusions :
I. Some nibs are tips.
II. Some tips are nibs.
III. All nibs are ribs.
IV. Some nibs are not ribs.
(a) Only I follows
(b) Only II follows
(c) Either II or IV follows
(d) I and II follow
(e) I and II and either III or IV follow

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22. Statements :
1. All hunters are punters.
2. Some punters are tigers.
Conclusions :
I. Some hunters are tigers.
II. All tigers are punters.
III. Some punters are hunters.
IV. No punters are hunters.
(a) I and II follow
(b) II and III follow
(c) I and III follow
(d) II and IV follow
(e) None of these

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23. Statements :
1. Some boxes are dogs.
2. All dogs are pens.
Conclusions :
I. Some boxes are pens.
II. Some pens are boxes.
III. Some pens are dogs.
IV. All pens are dogs.
(a) I, II and III follow
(b) II, III and IV follow
(c) I, III and IV follow
(d) I, II and IV follow
(e) All follow

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24. Statements :
1. All bricks are tricks.
2. Some tricks are bricks.
Conclusions:
I. No brick is a brick.
II. Some bricks are bricks.
III. Some bricks are tricks.
IV. Some tricks are not bricks.
(a) Only II follows
(b) Only II and IV follow
(c) Only II and III follow
(d) Either I or II follows
(e) Either I or II, and III follow

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25. Statement
1. Some gardens are wardens.
2. All gardens are locks.
Conclusions:
I. Some locks are not wardens.
II. Some locks are wardens.
III. No lock is a warden.
IV. Some locks are gardens.
(a) Only I follows
(b) Only II and IV follow
(c) Either I or II follows
(d) Either I or II and Iv follow
(e) Either I or II and III follow

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26. Statements :
1. Some charts are darts.
2. All darts are carts.
3. Some carts are smarts.
Conclusions :
I. Some charts are carts.
II. Some carts are darts.
III. Some darts are smarts.
IV. Some smarts are charts.
(a) Only I and III follow
(b) Only II and III follow
(c) I and II follow
(d) I, III and IV follow
(e) None of these

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27. Statements :
1. All boxes are tables.
2. No desks are tables.
3. Some desks are curtains.
Conclusions :
I. No boxes are desks.
II. Some boxes are desks.
III. Some curtains are not boxes.
IV. Some curtains are boxes.
(a) III and either I or II follow
(b) I and either III or IV follow
(c) Either I or II and either III or IV follow
(d) I and III follow
(e) None of the above

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28. Statements :
1. All grasses are brasses.
2. All brasses are wickets,
Conclusions :
I. Some brasses are grasses.
II. Some wickets are grasses.
III. Some grasses are not wickets.
IV. All wickets are brasses.
(a) Only I and II follow
(b) Only II and III follow
(c) Only I and III follow
(d) Only I and IV follow
(e) All follow

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29. Statements :
1. All teachers are students.
2. Some students are gypsies.
Conclusions :
I. All teachers are gypsies.
II. some gypsies are teachers.
Ill. Some gypsies are students.
IV. All students are teachers.
(a) Only I follows
(b) Only I, II and III follow
(c) Only III follows
(d) Only II and III follow
(e) None of these

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30. Statements:
1. Some greens are teens.
2. All teens are cleans.
Conclusions:
I. All greens are cleans.
II. Some greens are cleans.
III. Some cleans are teens.
IV. All teens are greens.
(a) Only I follows
(b) Only I, II and III follow
(c) All follow
(d) Only II and III follow
(e) None of these

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31. Statements :
1. All girls are cute.
2. All cute are westernised.
Conclusions :
I. Some cute are girls.
II. No cute is a girl.
III. Some westernised are girls.
IV. All westernised are girls.
(a) Only I follows
(b) Either I or II follows
(c) Either III or IV follows
(d) Only I and III follow
(e) None of these

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32. Statements :
1. Some biscuits are pens.
2. Some pens are pouches.
Conclusions :
I. Some biscuits are pouches.
II. Some pouches are pens.
III. Some pouches are not pens.
IV. Some biscuits are not pouches.
(a) Only II follows
(b) I and II follow
(c) Either II or III follow
(d) Either I or IV follows
(e) II and either I or IV follow

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33. Statements :
1. All classes are glasses.
2. All brasses are glasses.
Conclusions :
I. Some classes are brasses.
II. Some brasses are glasses.
III. Some brasses are classes.
IV. Some classes are glasses.
(a) Only I follows
(b) Only II follows
(c) I and II follow
(d) II and IV follow
(e) All follow

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34. Statements :
1. Some trees are sharks.
2. Some sharks are balloons.
Conclusions :
I. All balloons are sharks.
II. All balloons are trees.
III. Some trees are balloons.
IV. No tree is a balloon .
(a) Only I follows
(b) Only II and III follow
(c) Only either I or III follows
(d) Only either I or IV follows
(e) Only either III or IV follows

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35. Statements :
1. Some snakes are cute.
2. All cute are wicked.
Conclusions :
I. Some cute are snakes.
II. No cute is a snake.
III. Some wicked are snakes.
IV. All wicked are snakes.
(a) Only I follows
(b) Only either I or II follows
(c) Only either III or IV follows
(d) Only I and III follow
(e) None of the above

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