Solution

The pattern here followed is that the last word of the previous code becomes the first word for the next batch and the first and the second words shifted to the second and the third positions respectively. Again the seventh and the sixth words occupy the fourth and fifth positions respectively and then the third, the fourth and the fifth words of the previous code are WRITTEN in the same order in the pass-code for the next batch.

To summarize, if we use NUMBERS in place of the words, the arrangement will be :

Pass code for Batch I : 1 2 3 4 5 6 7 8

Pass code for Batch II : 8 1 2 7 6 3 4 5

Pass code for Batch III : 5 8 1 4 3 2 7 6

Pass code for Batch IV : 6 5 8 7 2 1 4 3

Pass code for Batch V : 3 6 5 4 1 8 7 2

Pass code for Batch VI : 2 3 6 7 8 5 4 1

=>Thus, we can write any required step from the GIVEN pass codes directly.

Pass code for Batch VI :and pencil by all boys used are pen=2 3 6 7 8 5 4 1

Pass code for batch I : 1 2 3 4 5 6 7 8

=> pen and pencil are used by all boys

Ans - (C)