How to Solve Syllogism using Venn Diagram Method?

Syllogism

This article covers the topic of Syllogism questions based on which are asked under the reasoning section in various bank examination  like IBPS Clerk, SBI Clerk, SSC CGL, Placement Aptitude, IBPS PO, SBI PO, NICL AO, LIC AAO, SBI Associate Clerk, SBI Associate PO, CAT and others.

Generally 5-6 questions are asked on this topic alone in each of these exams. As it is an important, easy and scoring topic. Once you understand the concept and then you can solve these types of questions in just a few seconds.

Examples of Syllogism Problems:

Statements:

Some batsmen are bowlers.

All the bowlers are fielders.

Conclusions:

Some batsmen are fielders.

No bowler is batsmen.

  1. Only (1) conclusion follows
  2. Only (2) conclusion follows
  3. Either (1) or (2) follows
  4. Neither (1) nor (2) follows
  5. Both (1) and (2) follow

Concepts of Syllogism :

Some A is B

Definite Conclusions :  Possibility Conclusions :
1. Some A is B 1. All A’s are B is a Possibility
2. Some B is A 2. All B’s are A is a Possibility
3. Some A are not B is a possibility
4. Some B are not A is a possibility

All A’s are B

Definite Conclusions : Possibility Conclusions :
1. All A is B 1. All B’s are A is Possibility
2. Some A is B  2. Some B’s are not A is a Possibility
3. Some B is A

 

No A is B

Definite Conclusion :                                                                        Possibility Conclusions:
1. No A is B No Possibility Conclusion
2. No B is A
3. Some A is not B
4. Some B is not A

 

Some A’s are not B

Definite Conclusion :                                                                 Possibility Conclusions:
1. Some A’s are not B 1. Except All A’s are B is possibility.
All other possibilities conclusion follows

 

Important Rules:

  • First draw venn diagrams according to the statement
  • If the definite conclusion doesn’t satisfy the basic diagram then no need to check the possibility diagram
  • If the definite conclusion satisfies the basic diagram then it must satisfy all possibility diagrams.

Note :

  • Definite conclusion must satisfied both Actual and Possibility Diagram
  • Possibility conclusion can satisfy any one of the possibility Diagram

 

Solved Problems:

Statement:

Some A is B ;

All B is C

Conclusion:

Some A is C ;

No A is C

  1. From the basic diagram we can clearly say that some A is C. So first condition True.
  2. From the basic diagram clearly shows the relation between A and C. Some A’s are part of C then we cannot say that No A is C. So, second condition fails.

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