Syllogism (Venn Diagram)

The syllogism is kind of a logical argument, where we have to give a genuine reason to arrive at a conclusion, which is based on two or more statements that are mentioned in the question.

Here we have to keep a note of one thing that all the statements mentioned in the question should be considered valid, even though they are far from reality.

Tips, Tricks and Shortcuts to remember:

Since Syllogism comprises of some statements, each of which is divided into two parts that are a subject and a predicate.

Subject– a Main matter of discussion.
Predicate– the part which states something about the subject.

There are four types of statements, each of which is mentioned below with the help of an example:

1. All A is B

It can be portrayed with the help of a Venn diagram below:

From this we can definitely conclude that:
All A’s are B’s
Some B’s are A’s
And some A’s are B’s

But we cannot be sure that:
All B’s are A’s
Some B’s are not A’s

Tips and Tricks for Syllogism-2: No A’s are B’s

From the above diagram we can:

Definitely Conclude that:
No A’s are B’s
No B’s are A’s
Some A’s are not B’s
Some B’s are not A’s
And there is no possible conclusion

Type 3. Some A’s are B’s

It can be presented as follows:

From the above diagram we can:

Definitely Conclude that:
Some A’s are B’s
Some B’s Re A’s

Possible conclusion:
All A’s are B’s
All B’s are A’s
Some A’s are not B’s
Some B’s are not A’s.

Q1. Statements

I. All Phones are Mobiles

II. Some Phones are Numbers

Conclusions:

I. Some Numbers are Mobiles

II. All Mobiles are Numbers

A) Only I follows

B) Only II follows

C) Both I and II follows

D) Neither I nor II follows

Solution:

From the diagram we can infer that Some Numbers are Mobiles. So, conclusion I is true.

ANSWER: A

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