## Syllogism

Syllogism is one of the important topic from competition point of view. Questions from this topic are asked in almost every competetive exams like SSC and PO exams

**Syllogism: **Also Known as Logical Deduction, It means concluding the results fromm the given statement.

Syllogism Questions can be easily solved by Venn Diagrams.

#### 1. Some/ Few/ x%/ Atleast

**Example:**

Some Potatoes are Brinjals

#### 2. All/100%

**Example:**

All Potatoes are Brinjals

#### 3. None/0%

**Example:**

No Brinjals are Potatoes.

##### Rule: Don't conclude anything until you are 100% sure. Don't make assumptions of your own.

### Examples:

#### Example 1:

**Statements:**

1. Some Carrots are Brinjals

2. Some Brinjals are Apples

3. All Apples are Bananas

**Conclusions:**

1. Some Apples are Carrot

2. Some Bananas are Brinjal

3. Some Bananas are Carrot

**Solution:**

Note: We have drawn the simplest Venn Diagram for this problems. Other Venn Diagrams are possible.

**Conclusion:**

1. Some Apples are Carrot - From the above venn diagram this conclusion appears to wrong. But We can also draw the below Venn Diagram .

So from the above two venn diagrams, from first venn diagram this conclusion appears to be wrong and from second it appears to be right. So we are not 100% sure here that why this conclusion is wrong.

2. Some Bananas are Brinjal -

**This conclusion is right**, Yes some bananas are brinjals. ( We are 100% Sure here even if we draw other Venn Diagram, this conclusion will always remain true)3. Some Bananas are Carrot - From the above venn diagram this conclusion is wrong. But We can also draw the below Venn Diagram .

So from the above two venn diagrams, from first venn diagram this conclusion appears to be wrong and from second it appears to be right. So we are not 100% sure here that why this conclusion is wrong.

#### Example 2:

**Statements:**

1. All keys are Locks

2. All locks are Bangles

3. All bangles are Cars

**Conclusions:**

1. Some Cars are Locks

2. All Bangles are key

3. Some cars are keys

4. All above conclusions are correct.

**Solution:**

From the above diagram, it can be concluded that

**all the above 3 conclusions are Right**#### Example 3:

**Statements:**

1. All fruits are leaves

2. Some leaves are trees

3. No tree is house

**Conclusions:**

1. Some house are fruit

2. Some trees are fruit

3. No house is fruit

4. Either 1 or 3

**Solution:**

Conclusion 2:

**Some trees are fruit**is**wrong**from both above venn diagram. (Here We are not 100% sure whether some trees are fruit or not, Some trees may be fruit but Conclusion is right only when we are 100% Sure)Conclusion 1: Some house are fruit ( From Venn Diagram 1 this is wrong & From Venn Diagram 2 this is Right. So again we are not 100% sure here, so this conclusion is

**wrong**)Conclusion 3: No house is fruit ( From Venn Diagram 1 this is Right & From Venn Diagram 2 this is Wrong. So again we are not 100% sure here, so this conclusion is

**wrong**)Conclusion 4: Either 1 or 3, this is tricky conclusion. Conclusion 1 says that "Some house are fruit" and Conclusion 2 says that "No house is fruit" both are completely contradictory statements. So one of them must be true (because there is no other option other than these two option).

**That's why Conclusion "****Either 1 or 3" is Right**