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UNIT-3 : LOGICAL REASONING                                     CHAPTER


                                                       LOGICAL VENN DIAGRAMS                                   1





            Getting Started

              m  A pictorial representation of classes representing items and their common properties is called a
                  Venn diagram.

              m  It usually consists of two or more circles: each representing elements of a class.

              m  The common properties of different classes are represented by some common regions shared
                  among the circles.

            Let us Understand

            Example 1.  Which  of  the  following  venn  diagrams  best  represents  the  relationship  amongst
                          “Science, Physics, Chemistry”?

                           a.                      b.                     c.                      d.







            Solution (c).  Physics and chemistry are two different categories which belong to science.


                                                                        Science


                                                    Physics             Chemistry



                          Thus, option (c) is correct.

            Example 2.  Study  the  diagram  carefully  and  tell  the  number  of  people  who  can  speak  only  one
                          language.


                                                           A     P    B
                                                     Hindi                English
                                                                 S
                                                              Q    R

                                                                 C
                                                              Marathi
                          a.  B                   b.  C                  c.  P + Q + R           d.  A + B + C
            Solution (d).  Number of people who can speak Hindi only is A.

                          Number of people who can speak English only is B.
                          Number of people who can speak Marathi only is C.
                          Thus, number of people who can speak only one language is A + B + C.




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