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9 people are sitting in a straight line, some are facing south, some are facing north.
Each of them is born during the years 1972 -1980 in the months of Jan - Sept.
(i) C is born in a leap year and in a month of 31 days. E is born in Sept. D is older than H but younger than F. The persons sitting adjacent to the ones who are born in a month of 31 days but not sitting at extreme ends are facing opposite directions.

(ii) Youngest of them sit at an extreme and is born in the month which has 31 days. While oldest of them born in July sit adjacent to one born in 28 days month but none of them sit at any extreme position. And both the youngest and the oldest face the same direction.

(iii) C sits 3rd left of H while I sits 2nd right of D. A sits 3rd left of G and face in same direction as G who is not sitting adjacent to I.

(iv) The one whose birthday falls in Jan is facing south and is sitting exactly in the middle.
(v) One whose birthday in Aug is facing south and is born in 1974. The ones who are born in 30 days are adjacent to each other and both are born in adjacent years but none of them is E.

(vi) H , who is facing north, was born in a year between the years D and A were born and none of them were born in a leap year.
(vii) The age difference between B and I is 7 years and they are born in May and March respectively. H and D sit adjacent to each other facing same direction.

(vii) B and E face same direction. And persons sitting adjacent to A face north direction. The persons adjacent to the oldest face opposite direction.

how many persons facing south?

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Number Series

13  25  61  121  205  ?

a) 323

b) 326

c) 324

d) 313

Can anyone please tell me as to how they meet at the centroid since all the vertices are moving towards each other as described??