**Shortcuts in Reasoning for Competitive Exams -Venn Diagram**

Shortcuts in Reasoning Quantitative Aptitude English

**Venn Diagram**

**INTRODUCTION**

Venn diagrams are pictorial way of represent the set of article. There are different regions which needs proper understanding for solving problems based on given Venn diagrams.

**1 . ANALYSIS BASED VENN DIAGRAM-**

In this type, generally a Venn diagram comprising of different geometrical figures is given. Each geometrical figure in the diagram represents a certain class.

**Shortcut Approach**

**Case -1:**

**Two articles:**

**EXAMPLE**

1 – represents student passed in English only

2 – represents student passed in Reasoning only

3 – represents student passed in

both English Reasoning both.

**Shortcut Approach**

**Case – II Three articles**

1 – represents P only

2 – represents Q only

3 – represents R only

4 – represents Q and R (not P)

5 – represents P and Q (not R)

6 – represents P and R (not Q)

7 – represents P, Q and R

**EXAMPLE**

1 ⇒ Engineer

2 ⇒ Doctor

3 ⇒ Farmer

4 ⇒ Doctor who is farmer also

5 ⇒ Engineer who is doctor also

6 ⇒ Engineer who is farmer also

7 ⇒ Person who is Engineer, doctor and farmer.

**2 . Identification of Relation Based Venn Diagram –**

In this type, some standard representations for groups of three items with different cases of venn diagrams are given.

**Shortcut Approach**

I When one class of items is completely I included in the another class of item I then it is represented by the given I diagram

I – Mango

II – Fruit

Here, all mango are fruit.

**Shortcut Approach**

I If two classes of item are completely I different from each other but they all I are completely included in third class I then the relationship is represent of the I diagram.

**EXAMPLE**

I – represent potato

II – represent onion

III – represent vegetable

**Shortcut Approach**

If two group of items having some I common relationship and both of I them are all included in third class then the relationship is represented by the diagram.

**EXAMPLE**

Brother, Father, Male.

I – Brother

II – Father

III – Male

Some Brother may be Father and all are male.

**Shortcut Approach**

When one class of item is completely included in another group while third is not related to both of them then such ‘condition are diagrammatically represented by

**EXAMPLE**

Cricketer, player and farmer

I – Cricketer

II – Player

III – Farmer

All cricketers are players but farmers not.

**Shortcut Approach**

if three group of things are related to each other

**EXAMPLE**

Graduate, Engineer and Doctor Graduate may be Engineer and Doctor.

**Shortcut Approach**

When two group of items are completely unrelated to each other while they are partly related with third group of item

**EXAMPLE**

Cloth, Red, Flowers.

Some cloth are Red and also some Flowers are red.

**Shortcut Approach**

When group of items are completely different from each other .

**EXAMPLE**

Red, Yellow, Black

These are all different colour.

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