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June 13, 2013

Syllogisms Examples - Lesson 3

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This is the 3rd lesson of our syllogism shortcut series. If you are new to this post then first read
before reading this post.

In our last post we have covered 6 examples. Here we shall start from the 7th one. 

Example VII :

All Dogs are Cats ---------- (1)
Some Cats are not Pigs ------------ (2)

The first statement is a universal affirmative and hence the subject (dogs) is distributed and the predicated (cats) is not distributed. 

The second statement is particular negative and hence the subject (cats) is not distributed and the predicated pigs is distributed (Table II).

But as the middle term (Cats) is not distributed atleast once in the premises, Rule [2] is not satisfied and hence we cannot draw any conclusion.


Example VIII :

All Cats are Dogs ------------- (1)
Some Cats are not Pigs --------------- (2)

The first statement is a universal affirmative and hence "cats" is distributed and "dogs" is not distributed. The second statement is particular negative and hence "cats" is not distributed and "pigs" is distributed (as per Table II).

Here the middle term (cats) is distributed and hence we can draw a conclusion.

The conclusion should be particular negative as Rule [3] states that if a premise is negative the conclusion should also be negative. Also Rule [4] states that if a premise is particular the conclusion should also be particular. Hence the conclusion should be particular negative. 

In particular negative, we know that the subject is not distributed and the predicated distributed.

The terms "dogs" and "pigs" should come in the conclusion. Also, since "dogs" is not distributed in the premise, it cannot be distributed in the conclusion also as per Rule [7]

As per the above reasoning, "Pigs" can be only the subject in the conclusion and hence "Dogs" will be the predicate.

Thus the answer will be - Some dogs are not pigs


Example IX :

No Dogs are Cats -----------(1)
No Cats are Pigs ----------(2)

We cannot draw any conclusion as Rule [5] states that if both the premises are negative we cannot draw any conclusion.



Example X :

No Dogs are Cats ----------- (1)
Some Cats are not Pigs ---------- (2)

As both the statements are negative as per Rule [5]  we cannot draw any conclusion.
(The first statement is universal negative and hence the subject (dogs) is distributed and the predicate (cats) is also distributed as per Table II.

The second statement is particular negative and hence the subject is not distributed and the predicate (pigs) distributed as per Table II).



Example XI :

Some Cats are not Pigs ----------- (1)
Some Cats are Dogs -------------(2)

As the first statement is particular negative the subject (Cats) is undistributed and the predicate (Pigs) distributed. In the second premise both the subject and predicate (Cats and Dogs respectively) are not distributed since   the premise is particular affirmative (as per Table II).

No conclusion can be drawn as both the premises are particular as per Rule [6].



Example XII :

Some Cats are not Dogs ----------------- (1)
Some Cats are not Pigs ------------ (2)

We cannot get an answer from the statements as  Rule [5] states that if there are two negative statements no conclusion can be drawn. Also Rule [6] states that if there are two particular statements no conclusion can be drawn.

That's all for now friends. In our next post we shall discuss another important Reasoning topic. Happy Reading :)

52 comments:

  1. All sites provides latest information on sbi notification.but gr8ambitionz?

    ReplyDelete
    Replies
    1. We don't make false statements to attract readers. Let the notification or the official confirmation of the news out. We will update :)

      Delete
  2. nice post mam......

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  3. Thanks a lot really superb

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  4. Dont mistake me for the clarification only I am asking u pls clear my doubts..
    Another one
    Eg 3
    All classes are lions
    Some birds are classes
    All pens are lions
    Conclusion
    No pen is bird
    Some birds are pens

    For this the ans they provided is either 1 or II follows

    ReplyDelete
    Replies
    1. If you don't mind please wait for 2 more days Shakthi... Making a video lesson on Syllogism. We hope that will help you clearing all your doubts.

      Delete
    2. Thank u mam.. Me wait no prob

      Delete
  5. its really a great website.
    plz update arithmetic shortcuts like SI,CI,TRAINS, AND MORE

    ReplyDelete
  6. Indeed a good work... thumbs up guys !!!

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  7. dats simply wow.. i was 0 in the syllogism and after these 3 chapters in only 1 hour i m feeling like a champ.. now just practice will make me perfect... very nicely explained... hip hip hurrayyyy

    ReplyDelete
  8. Really thanks a lot for ur short and clear explanations

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  9. finally i can solve these questions :) thanks

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  10. plz update 'possibility' examples in this section

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  11. Mam can u provide any material for possibility cases asked in syllogim

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  12. how we can solve if three or more statements given

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  13. plz show Possibility example for Syllogism

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  14. pls upload the syllogism in pdf

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  15. nice site for syllogism........keep it up ...

    ReplyDelete
  16. example 7 n 8 is same. bt ur ans is diff. correct ur ans. n maintain accuracy

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  17. maintain accracy madam ji



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  18. maintain accracy madam ji

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  19. please provide meterial for syllogism having three statements...Try to provide solution with Venn diagram..So it will be easy for everyone.

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  20. I am going through this website daily. Really Great work.

    ReplyDelete
  21. SOME CAMERAS ARE RADIOS
    SOME STATUES ARE CAMERAS..
    CONCLUSION
    1.SOME RADIOS ARE STATUES
    2.NO RADIO IS STATUE
    ANS-ANY 1..(PLZ EXPLAIN MAM)

    ReplyDelete
    Replies
    1. By this rule (rule 6) the answer should be "No conclusion can be drawn" as both the statements are particular +ve.

      Delete
  22. please post how to solve Three statements????

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  23. Pls.. provide us the syllogism with 4 statements other than 2..

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  24. Thank u so much maam. Its really of great help.

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  25. In example 10 stAtement 2 isnt negetive ,its particular negetive hence conclusion can be drawn

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  26. Mam syllogism is the topic which irrtiates me the most. I was going through your examples and was able to understand but now when i came to example 6, 7 nd 8 both r same questions and ur explanations are different and i am confused again. please make it clear

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  27. superb; awesome; thanks a lot

    ReplyDelete
  28. hi
    i like your material very much.
    can u plz give any technic to solve sitting arrengements questions particularly for sbi

    ReplyDelete
  29. hi mam,
    in example 8, you said pigs is subject but why u used it as predicate? please reply soon mam...i got confused.

    ReplyDelete
  30. hi mam,
    In example 8, you said that pigs is subject but in the conclusion, why u used it as predicate? please reply soon mam, I got confused..

    ReplyDelete
  31. hello mam
    i am very happy to come through your website. its very helpful. i am struggling to understand syllogism from months. but your update on it made me understand it in an hour. thank you so much. i want to request you to update more examples on 3 premises sums as they are the ones actually seen in question papers of competitive exams. please update them soon.
    thank you once again...

    ReplyDelete
  32. what is the answer of the following Q :-
    all men are married.
    some men are educated.
    Conclusions:-
    1.some married are educated.
    2.some educated are married.

    ReplyDelete
  33. please explain this

    Some Necklaces are Bangles.
    All Bangles are Ornaments.
    Some Ornaments are Treasures.
    No Treasure is a Picture.
    All colours are Pictures.
    Some pictures are necklaces.

    1). I. all treasures if they are Bangles, they are also necessarily Ornaments.
    II. All necklaces if they are colours, they are also necessarily pictures.

    2). I. All ornaents which are necklaces are necessarily Bangles.
    II. no colour is treasure.

    3). I. some colour are necklaces.
    II. some ornaments are necklaces.

    4) I. some treasures are not bangles.
    II. some treasures that are bangles are also necklaces.
    GIVE ANSWERS;
    A. if only I follows.
    B. if only II follows.
    C. if either I or II follows.
    D. if neither I nor II follow.
    E. if both I and II follow

    ReplyDelete
  34. please explain this

    Some Necklaces are Bangles.
    All Bangles are Ornaments.
    Some Ornaments are Treasures.
    No Treasure is a Picture.
    All colours are Pictures.
    Some pictures are necklaces.

    1). I. all treasures if they are Bangles, they are also necessarily Ornaments.
    II. All necklaces if they are colours, they are also necessarily pictures.

    2). I. All ornaents which are necklaces are necessarily Bangles.
    II. no colour is treasure.

    3). I. some colour are necklaces.
    II. some ornaments are necklaces.

    4) I. some treasures are not bangles.
    II. some treasures that are bangles are also necklaces.
    GIVE ANSWERS;
    A. if only I follows.
    B. if only II follows.
    C. if either I or II follows.
    D. if neither I nor II follow.
    E. if both I and II follow


    ReplyDelete
  35. nice work mam................ superb....

    ReplyDelete
  36. really a wonderful site..superb...

    ReplyDelete
  37. please share multiple syllogisms examples and their techniques to solve.

    ReplyDelete
  38. please share multiple statements syllogisms examples and their techniques to solve.

    ReplyDelete
  39. Kindly add some questions with three or more premises. Thanks You!

    ReplyDelete
  40. thanku very much..it was very helpful

    ReplyDelete
  41. Thank You very Much Gr8Ambitionz ...I make it a a point to refer ur materials for each exam before reading any other books...Really gud work Keep it Up...Kudos

    ReplyDelete
  42. Statements:
    All baskets are marbles.
    Some marbles are sticks.
    No stick is garden.
    Conclusions:
    I.some gardens are baskets.
    II. Some sticks are baskets.
    III. No garden is basket.
    Ans. Only either I or III follows.
    How you explain it? You don't cover it, please help,

    ReplyDelete

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