Monday, January 02, 2012

Puzzle 19 - Arrangement of Natural Numbers

All Natural numbers are arranged in the following pattern



Column:        1        2       3       4         5        6      7         8
Row 1           1        2       3                 13      14     15
Row 2                             4                 12               16
Row 3                             5                 11               17
Row 4                             6                 10               18
Row 5                             7        8       9                 19       20

If the pattern continues, in which Column the number 2012 appears?

2 comments:

MISSION--->CAT said...

ans//...672..//

3+6(n-1)=<no<=3+6(n-1)+4

n-1=334 for no to be 2007
so no lies between 2007 and 2011

2012 lies in next column
column no for n-1=334 is 671
so next column is 672

Vikram Rayabhari said...

6i + 2 appears in row 2i + 2

for i = 335, 2012 appears in row 672.