Syllogism at Its Best

SYLLOGISM AT ITS BEST!!! Most the people would have tried to solve these questions, but with the wrong conclusions. What they do is, they first make all the circles and then they head on to the conclusions, seeing if those conclusions are fitting according to these circles or not. Then they ticked the right conclusions, crossed the wrong ones, but whoosh, wrong answer! In this post, Id like to make you understand this trick of settle on the right sort conclusions!! The trick is: One statement says many things. i.e. One statement has many conclusions!! Now, lets start from the basic statements Statement 1: All A are B Now, lets try all these conclusions if they fit in this statement

1. Some A are B 2. No A are B 3. Some A are not B 4. All B are A 5. Some B are A 6. No B are A 7. Some B are not A

Is conclusion 1 following? Yes! Of course! All A are B, that means Some A are Definitely B Is conclusion 2 following? Of course not! What about 3rd? Yes yes. Not following 4th? Well, can follow, if A encircles B, i.e. All A are B and All B are A 5th? Of course, some B are A 6th? Bullshit conclusion. How can no B are A 7th? Well, look at 4th conclusion. Its possible that All B are A if A also encircles B. In that case, Some B are not A will not follow. So, theres a possibility that this 7th conclusion will follow. Understood?

Statement 2: Some A are B Now, lets try all these conclusions if they fit in this statement

1. All A are B 2. No A are B 3. Some A are not B 4. All Bare A 5. Some B are A 6. No Bare A 7. Some B are not A

Is conclusion 1 following? Could follow. 2nd? Impossible. 3rd? It wont follow in all the cases, but its possible. 4th? Again, its possible. 5th? Yes. Follow. In all cases. 6th? Impossible. Nahi nahi nahi! 7th? It could be possible. Wont follow in all the cases, but yes, it also could be possible.

Statement 3: No A are B Now, lets try all these conclusions if they fit in this statement

1. All A are B 2. Some A are B 3. Some A are not B 4. All Bare A 5. Some B are A 6. No B are A 7. Some B are not A

Conclusion 1 following? Of course not! 2nd? Haha.. 3rd? No A are B, then Some A are also Not B.. Yes, following!

4th? Clearly, not following! 5th? What the hell. Not following! 6th? Now this is class. Yes, follows! 7th? Of course will follow! No A are B only means, No B are A, which also means, Some B are not A

Statement 4: Some A are not B Now, lets try all these conclusions if they fit in this statement

1. All A are B 2. Some A are B 3. No A are B 4. All B are A 5. Some B are A 6. No B are A 7. Some B are not A

Is conclusion 1 following? Of course not! 2nd? It could be possible! Not in all cases, but it could be possible 3rd? Again, could be possible! 4th? Yes, yes. Could be possible! 5th? Not in all cases, but could be possible! 6th? Again, it also could be possible! 7th? Again, possible!

So far so good! And that is all there is to know about syllogism!

Now, lets head on to solving some real questions based on all the things that weve just learned. Question 1: Statements:

A. All buckets are mugs. B. All lunch boxes are pencil boxes. C. Some pencil boxes are mugs. D. Some buckets are not drums.

Conclusions:

1. All mugs are lunchboxes. 2. All lunchboxes are buckets. 3. Some lunchboxes are mugs. 4. Some drums are not mugs.

1? Not follows 2? Not follows 3? Not follows 4? Not follows

Question 2: Statements:

A. Some chairs are tables. B. Some desks are benches. C. All benches are tables. D. Some woods are not desks.

Conclusions:

1. Some benches are desks. 2. Some tables are benches. 3. Some woods are not benches. 4. Some desks are tables.

1? Yes 2? Yes 3? Not follows 4? Yes


A. No bank is a market. B. Some markets are offices. C. All restaurants are offices. D. Some banks are rooms.

Conclusions:

1. Some markets are not rooms. 2. Some offices are not banks.

3. Some restaurants are markets. 4. Some rooms are restaurants.

1? Not follows 2? Yes. Some offices which are Market cannot be Banks 3? Not follows 4? Not follows


A. All ones are twos. B. Some threes are fours. C. All three are ones. D. All five are fours.

Conclusions:

1. Some fives are threes. 2. Some ones are fives. 3. Some twos are fives. 4. Some twos are fours

1? Not follows 2? Not follows 3? Not follows 4? Yes. Follows


A. Some ice-creams are cakes. B. All cakes are biscuits. C. Some biscuits are parles. D. Some parles are toffees.

Conclusions:

1. All ice-creams are biscuits. 2. Some ice-creams are biscuits. 3. Some toffees are biscuits. 4. Some cakes are biscuits.

1? Not follows 2? Follows 3? Not follows 4? Yes. Follows

HOPE YOU ENJOYED IT

Thank You!! :-)

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Syllogism at Its Best