Syllogism

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. Some players are singers.  

                                            2. All singers are tall.

          Conclusions    :       I. Some players are tall.         

                                            II. All players are tall.

2.       Statements      :       1. Some hats are caps.           

                                            2. Some caps are mats.

          Conclusions    :       I. Some caps are hats.           

                                            II. Some mats are caps.

3.       Statements      :       1. Some vegetables are fruits.              

                                            2. No fruit is black.

          Conclusions    :       I. Some fruits are vegetables.

                                            II. No vegetable is black.

4.       Statements      :       1. Some fools are intelligent.

                                            2. Some intelligent are great.

          Conclusions    :       I. Some fools are great.         

                                            II. All great are intelligent.

5.       Statements      :       1. All stones are water.           

                                            2. Some water are clean.

          Conclusions    :       I. Some stones are clean.      

                                            II. No stone is clean.

6.       Statements      :       l. All keys are locks.  

                                            2. All locks are screws.

          Conclusions    :       I. All screws are keys.             

                                            II. Some locks are keys.

7.       Statements      :       1. Some books are pens.       

                                            2. No pen is pencil.

          Conclusions    :       I. Some books are pencils.    

                                            II. No book is a pencil.

8.       Statements      :       1. All dogs are monkeys.       

                                            2. No monkey is a cat.

          Conclusions    :       I. No dog is a cat.                    

                                            II. No cat is a dog.

 

 

9.       Statements      :       1. Some phones are watches.

                                            2. All watches are guns.

          Conclusions    :       I. All guns are watches.          

                                            II. Some guns are phones.

10.    Statements      :       1. All umbrellas are aeroplanes.           

                                            2. Some aeroplanes are birds.

          Conclusions    :       I. Some umbrellas are birds.

                                            II. Some birds are umbrellas.

11.    Statements      :       1. Some whites are black.     

                                            2. No black is green.

          Conclusions    :       I. Some whites are green.      

                                            II. Some whites are not green.

12.    Statements      :       1. Some men are old

                                            2. No old is a boy

          Conclusions    :       I. Some boys are not men     

                                            II. All boys being men is a possibility

13.    Statements      :       1. Some pens are books

                                            2. All pages are books

          Conclusions    :       I. At least some pens are pages            

                                            II. All books being pages is a possibility

 Statements (for Q 14 & Q 15): All stickers are cups. No cup is a wire. All wires are bulbs.

14.    Conclusions:           I. All bulbs being cups is a possibility.

                                            II. No sticker is a wire.

15.    Conclusions:       I. All stickers being bulbs is a possibility.

                                            II. No bulb is a sticker.

Directions : Decide which conclusions follow.

16.    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.

                                            IV. Some singers are not 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

17.    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                                         (d) IV and II follow

          (e) IV and either II or III follows

 

18.      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

19.    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.

20.    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                            (b) II and III                        

(c) I and III                           (d) II and IV                         (e) None

 21.     Statements: Some cards are files. Some files are ink-pots. Some ink-pots are pads.

Conclusions : I. Some ink-pots are cards. II. Some cards are pads. III. Some pads are files.

(a) None follows                  (b) Only I     (c) Only II      

(d) Only III                            (e) All follow

22.      Statements: Some keys are locks. All locks are doors. Some doors are windows.

Conclusions: I. All keys are locks. II. Some doors are locks.

III. No window is a key.

(a) Only I                               (b) Only II   (c) Either I or III

(d) Either I or III                  (e) None of these

23.      Statements: All bananas are apples. Some apples are oranges. All oranges are grapes.

Conclusions: I. Some grapes are bananas. II. Some grapes are apples. III. Some oranges are bananas

(a) None follows                  (b) Only I     (c) Only II

(d) Only I and II                  (e) Only II and III both

 

 

24.      Statements: Some stones are rocks. All rocks are boulders. Some boulders are mountains. All hills are mountains.

Conclusions: I. Some stones are mountains. II. Some hill are boulders. III. Some boulders are stones. IV. All mountains are hills.

(a) None follows                  (b) Only II   (c) II and II both

(d) Only III                           (e) Only IV

25.      Statements: All arrows are bows. All bows are swords. Some swords are daggers. All daggers are knives.

Conclusions: I. All knives are bows. II. Some swords are knives. III. All bows are arrows. IV. All arrows are swords.

(a) Only II   (b) II and IV both                (c) III and IV both

(d) I and III both                 (e) None

26.      Statements: Some pianos are violins. Some violins are drums. All drums are guitars. No guitar is a flute.

Conclusions: I. Some guitar are pianos. II. Some drums are flutes. III. Some pianos are drums. IV. No flute is a drums.

(a) None       (b) Only I        (c) Either II or IV

(d) Only IV (e) Only II

27.      Statements: Some airplanes are helicopters. All helicopters are gliders. All gliders are kites. All kites are balloons.

Conclusions: I. Some helicopter are balloons. II. All kites are airplanes.  III. All balloons are gliders.  IV. All helicopter are kites.

(a) Only IV  (b) Only either II or III       (c) Only III

(d) Only I     (e) I & IV both

Answers

1. (a)         2. (e)           3. (a)           4. (d)             5. (c)           6. (b)

7. (c)         8. (e)           9. (b)           10. (d)          11. (b)        12. (b)

13. (b)      14. (b)        15. (a)        16. (a)          17. (e)         18. (a)

19. (e)       20. (e)         21. (a)        22. (b)          23. (c)         24. (d)

25. (b)      26. (d)        27. (e)