Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture.
Which lecture is scheduled before the Mathematics lecture?

Correct Option (A)

The lecture schedule can be deduced by systematically applying the given constraints:

• The guest faculty for History is available only on Tuesday. Therefore, History is scheduled on Tuesday.
• The English lecture is immediately before Economics, and the Mathematics lecture is immediately after Economics. This establishes a sequence: English → Economics → Mathematics.
• Economics cannot be scheduled on Tuesday. Since History is already on Tuesday, the English → Economics → Mathematics sequence cannot occupy Tuesday.
• Considering the available days (Monday, Wednesday, Thursday, Friday, as Tuesday is taken):
  • If Economics were on Monday, English would be on Sunday, which is not possible within the Monday-Friday schedule.
  • If Economics were on Wednesday, English would be on Tuesday, which is already occupied by History.
  • Therefore, Economics must be scheduled on Thursday. This places English on Wednesday and Mathematics on Friday.
• The remaining day is Monday and the remaining subject is Statistics. Thus, Statistics is scheduled on Monday.

The complete schedule is:

• Monday: Statistics
• Tuesday: History
• Wednesday: English
• Thursday: Economics
• Friday: Mathematics

From this schedule, Economics is scheduled on Thursday, immediately preceding Mathematics on Friday.

Incorrect Options:

• Option B (History): History is scheduled on Tuesday, which is not the lecture immediately before Mathematics.
• Option C (Statistics): Statistics is scheduled on Monday, which is not the lecture immediately before Mathematics.
• Option D (English): English is scheduled on Wednesday. While it is immediately before Economics, it is not immediately before Mathematics.