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# Venn Diagrams Questions and Answers

**Questions on Venn Diagrams **

A diagram demonstrating the mathematical or logical arrangements visually in the form of circles or closed curves inside an enfolding rectangle and the common essentials of the groups being signified by intersections of the circles is known as the Venn diagram. On this page we will discuss questions related to Venn Diagrams

Venn diagram
Usually, it is used to represent the set interactions. It uses overlying circles or more figures to demonstrate the rational relationships among two or more items. So accordingly, Venn Diagrams are quite important in both quantitative and logical reasoning. Therefore, it is important to practice Venn Diagrams Questions.

**Formula or Rule for finding the HCF of given numbers:**

- n(X ∪ Y) = n(X ) + n ( Y ) – n ( X∩ Y)
- n(X ∪ Y ∪ C) = n(X ) + n ( Y ) + n (C) – n ( X ∩ Y) – n ( Y ∩ C) – n ( C ∩ X) + n (X ∩ Y ∩ C )
- In case of two elements: Where;

A = elements belong to set X only

B = elements belong to set Y only

C = elements belong to bot set X and Y (XY)

F = elements belong to none of the sets X or YB - From the above figure, it is clear that

n(X) = a + c ;

n (Y) = b + c ;

n(X ∩ Y) = c;

n ( X ∪ Y) = a +b+ c.

Total number of elements = a + b + c + f

### In the case of three elements

- F = elements belong to none of the sets X, Y or Z

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Tricks & Shortcuts - Heights and Distances – Questions |

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Tricks & Shortcuts - Perimeter Area and Volume – Questions |

Formulas |

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Tricks & Shortcuts - Coordinate Geometry – Questions |

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Tricks & Shortcuts - Set Theory – Questions |

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How to Solve Quickly |

Tricks & Shortcuts