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230                                                                                             Syllogism

                                                    Concept Builder


            1.   (a) Some tents are rivers + All rivers are ponds = I   Some rooms are tables Hence II follows. Again, All
                + A = I = Some tents are ponds → conversion →         tables are rooms + All rooms are buses = A + A =
                Some ponds are tents (1) Hence I follows But some     All tables are buses → conversion → Some buses are
                desk are tents + Some tents are ponds = 1 + A =       tables Hence I follows
                No Conclusion Hence II does not follow.
                                                                                                       Rooms
                                       Tents
                                                                         Buses
                 Ponds
                                                     Desks
                                                                                                     Windows
                               Rivers
            2.   (b) Some  pens  are knives + All  Knives  are rats 1                  Tables
                + A = 1 = Some pens are rats → conversion →      5.   (e) Some trees are boxes + All boxes are bricks = 1
                Some rats  are  pens (1)  Hence 1  follows But All    + A = 1 = Some trees are bricks → conversion →
                chair are pens + Some pens are rats = 1 + A = No      Some bricks are trees + All bricks are dogs = 1 – A
                Conclusion Hence I does not follow.                   = 1 = Some trees are dogs → conversion → Some
                  Pen                                                 dogs are trees Hence 1 follows


                                       Knife         Rats                                            Dogs
                                                                                         Boxes


                                                                             Trees
                         Chairs
                                    or                                                          Bricks
                    Pen                                          6.   (c) All goats are flowers + No flower is branch = I +
                                                                      A = E = E = No goat is branch + Some branches
                                       Knife       Rats               are roots = E + 1 = 0* = Some roots are not goats.
                                                                      Hence neither I nor II definitely follows However,
                                                                      since the two from a complementary I-E pair, either
                         Chairs                                       of the two must follow.

                Some rats  are chairs ,  that’s  may or may not be   7.   (e) All pots are rings + All rings are paints = A + A =
                possible but some rats are pen is confirm. Hence      A = All pots are paints → conversion → Some paints
                option (b).                                           are pots (I) Hence I follows. All bangles are rings +
                                                                      All rings are paints = A + A = A = All bangles are
            3.   (d) I-type statements can’t be combined.             paints → implication → Some bangles are paints (I)
                                                                      Hence II follows.
                                                                 8.   (d)  All  paintings  are photographs  + Some
                  Forests     Huts      Walls      Nets
                                                                      photographs are designs = A + I = No conclusion
                                                                      Hence I does not follow. Some photographs  are
                                                                      designs + Some designs are movies = I + I = No
            4.   (e) All tables are windows + All windows are rooms   conclusion Hence II does not follows.
                = A + A = All tables are rooms → conversion →
                                                                 9.   (e) Some syrups are medicines + All medicine are
                                                                      powder = I + A + I = Some syrups are powders.
                                                                      Hence I  follow.  Some tablets  are capsules +  All
                                                                      capsules are syrups = I + A + I = Some tablets are
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