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Syllogism                                                                                           217
            Let Us Study the various possible cases along with Venn Diagram with all possible inferences.
            Case 1. All fruits are flowers. All flowers are leafs
                               Statement/ premises           Converse of statement

                               All m are n                   Some n are m
                               All Fruits are Flowers        Some Flowers are Fruits
                               All Flowers are Leafs         Some Leafs are Flowers

                                      Venn Diagram                                    Inference
                                                                         1. All fruits are Leafs
                                                                         2. Some Leafs are flowers
                                                                         3. Some Leafs are Fruits
                        LEAFS                            FLOWERS         4. Some Flowers are Fruits








                                        FRUITS
            Case 2. ALL P are Q. ALL R are Q.

                        Statements               Inference                       Venn Diagram
                   1. All P are Q         1. Some Q are P                              Q
                   2. All R and Q         2. Some Q are R
                                          3. Either Some P are R
                                          (or) No P are R.                              or

                                                                       F              R
                                                                                           P
                                                                                                       R
            Case 3. All K are M. Some M are S.
                      Statements                Inference                         Venn Diagram

                1. All K are M           1. Some M are K                                M
                2. Some M are S          2. Some S are M
                                         3.  Either No K  is  S  (or)
                                         Some K are S.                                  or


                                                                       K                    K

                                                                                                          S
                                                                                    S
            Case 4. All Bs are Ts. Some Bs are Cs.
                          Statements              Inference                     Venn Diagram

                     1. All B are T         1. Some T are B
                                                                         T
                     2. Some B are C        2. Some C are B
                                            3. Some T are C
                                                                                                    C

                                                                         B
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