Correct Answer - Option 4 : PMDUP
1) UMDUD
U U D M / U P D M / U P D M / U D D M
No pattern of letters is repeated.
2) MPUDU
U M D P / U P U M / D P D M / U U D M
No pattern of letters is repeated.
3) PMUPD
U P D M / U P U M / P P D M / U D D M
No pattern of letters is repeated.
4) PMDUP
U P D M / U P D M / U P D M / U P D M
The pattern of letters 'UPDM' repeats itself in the series.
Hence, 'PMDUP' is the correct answer.