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.

Correct Option (3)

The schedule for the guest lectures can be determined by systematically applying the given constraints:

• "Guest faculty for History is available only on Tuesday." This establishes History 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." This implies a consecutive sequence of English → Economics → Mathematics.
• "Economics cannot be scheduled on Tuesday." Since Tuesday is occupied by History, and Economics cannot be on Tuesday, the three-day sequence (English, Economics, Mathematics) cannot start on Monday (as that would place Economics on Tuesday).
• Considering the available slots and the sequence, the only possible arrangement for English → Economics → Mathematics is Wednesday → Thursday → Friday.
• This places English on Wednesday, Economics on Thursday, and Mathematics on Friday.
• The remaining day is Monday, and the remaining subject is Statistics. Therefore, Statistics is scheduled on Monday.

Based on this deduction, the lecture scheduled on Wednesday is English.

Incorrect Options:

• Option 1 (Statistics): Statistics is scheduled on Monday, not Wednesday.
• Option 2 (Economics): Economics is scheduled on Thursday, not Wednesday.
• Option 4 (History): History is scheduled on Tuesday, not Wednesday.