## Syllogism for bank exams

**Solving syllogism**is always confusing .No more confusion here onwards. Conventional methods are usually time consuming .It is okey if the problem is

**2 statement syllogism**. But it is not the case if the problem is

**3,4 or 5 statement syllogism**.Conventional method will eat your valuable time during exams. Please try to follow

**Venn diagram method**explained below.

Before solving questions ,let us draw Venn diagram for possible statements.

1.Statement:”

**All A are B**”
Possible Venn diagrams.

fig1 |

fig2 |

Let us see whether following conclusions follows ‘ the above statement or not. A Conclusion follows if and only if conclusion is satisfied in all possible conditions of the statement. That means conclusion must be possible in all Venn diagrams we have drawn .

You can see only conclusions 2 and 3 clearly follows .But look at the conclusions 1 and 7,there is a possibility for these conclusions to be true.If the conclusions 1 and 7 are modified as below

1=> All A being B is a possibility(see fig.2). and

7=> Some B not being A is a possibility (see fig.1).

Then the answer will be’ YES’ and ‘YES’. Hope it is clear….Now let us go to next statement

2.Statement:

**”some A are B”**
Possible Venn diagrams.

fig.3 |

Let us see whether following conclusions follows the above statement or not.

You can see only conclusion 3 clearly follows. But in some cases there is possibility for conclusions 1,2,6 and 7 to be true. If we modify 1,2,6 and 7 as follows.

1=> All A being B is a possibility.(see fig.4 and fig.6)

2=>All B being A is a possibility.(see fig.5 and fig.6)

6=>Some A not being B is a possibility(see fig.3 and fig.5)

7=>Some B not being A is a possibility(see fig.3 and fig.4)

Then these conclusions follows the statement.

3.Statement:"

**Some A are not B"**
None of the conclusion follows directly. But there exist possibility for conclusion 2 to 7.If we modify them

2=>All B being A is a possibility? YES (fig.8)

3=>Some B being A is a possibility? YES(fig.7 and fig.8)

4=>No A being B is a possibility ?YES(fig.9).

5=> No B being A is a possibility ?YES (fig.9).

6=> Some A being B is possibility?YES(fig.7 and fig.8).

7=> Some B not being A is a possibility.?YES(fig.7 and fig.9).

Hope you understood ….

4.Statement:

**"No A is B"**
Possible Venn diagram

Conclusions 4,5 and 7 follows. In this case there is only one Venn diagram possible ,therefore there is no possibility cases.

Now let us do some simple problems.

Q1)Statement :Some Pens are Pencils.

All Pencils are Books.

Conclusions:1.All the Books are Pencil

2. Some Pens are Book.

3. All Pen being Book is a possibility.

or

Q2)Statement:Some Dogs are Cat.

Some Cats are Cows.

Conclusions:1.Some Dogs are Cows.

2. Some Cats are Dogs.

or

Q3):Statements:All cars are Chair.

No Chair is Mug.

Conclusions:1.No car is mug.

2.All Chair are cars.

ANS:1-YES,2-NO

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**Click here to read solving 3,4 statement syllogism**
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Statement

ReplyDeleteNo fox is a cat

No cat is a dog

All monkeys are foxes

conclusion:

No monkey is fox

All dogs are definitely not cats

Some foxes are not dogs

which of following conclusions that does not follows?

using venn diagram