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Option 4 : fifth

The logic follows here is:

1) History has to be immediately after Geography

Subject
Geography
History

2) Science has to be earlier than History 

Subject
Science
Geography
History

Now, it is given that the Mathematics period is scheduled before Science

Subject
Mathematics
Science
Geography
History

3) English has to be earlier than Mathematics 

Subject
English
Mathematics
Science
Geography
History

4) English has to be either immediately before or immediately after Hindi

Subject
Hindi
English
Mathematics
Science
Geography
History

or

Subject
English
Hindi
Mathematics
Science
Geography
History

Arrange the periods according to the schedule.

From the above schedule, it is clear that Geography must be the fifth period.

Hence, the correct answer is fifth.

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