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 between Statistics and English?

Correct Option (2)

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

• The guest faculty for History is available only on Tuesday. Therefore, History is scheduled on Tuesday.
• Mathematics lecture is scheduled immediately after the Economics lecture (E → M).
• English lecture is scheduled immediately before the Economics lecture (En → E).
• Combining these, a block of three consecutive lectures is formed: English → Economics → Mathematics (En → E → M).
• Economics cannot be scheduled on Tuesday. Since History occupies Tuesday, the three-day block (En, E, M) must be placed on the remaining consecutive days: Wednesday, Thursday, and Friday.
• This arrangement places English on Wednesday, Economics on Thursday, and Mathematics on Friday.
• The only remaining subject is Statistics, and the only remaining day is Monday. Consequently, Statistics is scheduled on Monday.

The complete schedule is:

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

Based on this schedule, History is scheduled on Tuesday, which falls between Statistics (Monday) and English (Wednesday).

Incorrect Options:

• Economics is scheduled on Thursday, not between Statistics and English.
• Mathematics is scheduled on Friday, not between Statistics and English.
• A lecture (History) is explicitly scheduled between Statistics and English, rendering the option "No lecture" incorrect.