Please solve the question NO 3 fast within 5 hours

3.
  ​In the figure two number lines are perpendicular to each other. On the vertical line each unit is divided into four equal parts while on the horizontal line each unit is divided into three equal parts. Observe the figure carefully and find the length of the segment AB.
( 1 )   2 1 3                               ( 2 )   2 2 3                                               ( 3 )   4 2 3                                               ( 4 )     3 1 3

Hi, AOB is a right angle triangle and OA = 2 unit and horizontal line is 1 unit = 3 part so 1 part = 13 unit so 2 part = 23 unit now OB= 223 unit = 83 unit so using pythagorus theorem, AB= OA2+OB2= 4+649= 103= 313 unit option D 

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