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NIELIT 2017 OCT Scientific Assistant A - Section A: 45

1 vote
122 views

Count the number of convex pentagons in the adjoining figure.

  1. $16$
  2. $12$
  3. $8$
  4. $4$
in Logical Reasoning 9.2k points ●26 ●408 ●790
edited by 122 views

2 Answers

0 votes
50 points ●1 ●2 ●2
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A convex pentagon has no angles pointing inwards. More precisely, no internal angles can be more than $180^o$.
The pentagons in the figure, are $ABDFH, CDFHB, EFHBD, GHBDF, ACDFG, CEFHA, EGHBC, GABDE, BDEGH, DFGAB, FHACD$ and $HBCEF$. Clearly, these are $12$ in number
618 points ●1 ●9
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