Instructions

Study the following information carefully and answer the question given below:

XYZ limited company organised an exhibition of machine tools. The exhibition was opened on all the weekdays for public. Certain passcodes were issued to the visitors as entry card. The passcode of entry card was changed every hour according to a certain rules as shown below. The entry time of the first batch was 7 PM. Each batch was allowed only one hour. The lunch time was from 1 PM. to 2 PM.
Batch I(9 AM to 10 AM)
Passcode:
course easy set for each year was
Batch II(10 AM to 11 AM)
Passcode:
easy each course for was set year
Batch III(11 AM to 12 Noon)
Passcode:
each was easy for year course set and so on.

Question 42

# The passcode of which of the following batches will be similar to the passcode for the batch III?

Solution

There are 7 words in the pass code. Let the initial order of words be numbered 1,2,3,4,5,6,7. The immediate next pass code will have the same words in a different order that will be 2,5,1,4,7,3,6 sequence as per the first pass code.

Performing this operation again will give the sequence 5,7,2,4,6,1,3.

Performing this operation again will give the sequence 7,6,5,4,3,2,1.

From this we observe that for every 3 repetitions of this operation the sequence becomes it's inverse.

Hence we get back the same pass code for every 6 batches. This means that batch IX will have the same pass code as batch III.