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Question

# In which of the following ways can four people hold each other's hands to form a quadrilateral?

A

All four stand in one line

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B

Two pairs of people stand with their back facing and hold hands from behind and side.

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C

Two pairs of people stand facing each other

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D

Three stand in one line and one of them out of the line

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Solution

## The correct option is C Two pairs of people stand facing each other A figure formed by joining four points in an order is called a quadrilateral. Consider the analogy of four people as four points. In the first case, there are four collinear points which cannot form a quadrilateral. In the second case, there are three collinear points which can form a triangle, but not a quadrilateral. In the third case, the two pair of people face each other and thus form a quadrilateral. In the fourth case, the two pair of people face exactly opposite but hold each others hands from behind and side and thus can for a quadrilateral.

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