Syllogism

• This chapter deals with venn diagrams used to solve statements to form conclusions. So, the questions will be basically of statement-conclusion type.
• In some questions we might be asked to draw an inference out of the given information.
• To understand this better, we follow some types of statements:

Statement 1 ➡️ All A are B

• This phrase means that A is contained in B but not necessarily vice versa. This means A is a subset of B, but B may not be a subset of A. The Venn diagram for this is:

• In this diagram, it is visible that circle A is inside the circle B, which means that B contains the entire A, i.e. All A are B.

Statement 2 ➡️ A = B
• In this case, the conclusion is similar to the first type, i.e. “All A are B”. Here not only “All A are B”, but also “All B are A”. This means A is a subset of B and B is also a subset of A. The Venn diagram is:
• Here A is contained in B and so is B contained in A. So, here A contains all B and again B also contains all A.

Statement 3 ➡️ No A are B

Statement 4 ➡️ Some A are B

Statement 5 ➡️ Some A are not B