Examine the information given in the following paragraph and answer the items that follow: 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 on Wednesday?

Here's a step-by-step breakdown: 1. **History Lecture:** The guest faculty for History is available only on Tuesday. So, Tuesday = History. 2. **Consecutive Lectures:** Mathematics lecture is immediately after Economics, and English lecture is immediately before Economics. This forms a block of three consecutive lectures: English -> Economics -> Mathematics. 3. **Placing the Block:** We have five days (Mon-Fri) and know Tuesday is History. The English-Economics-Mathematics block needs three consecutive days. * It cannot be Mon-Tue-Wed (Tuesday is History). * It cannot be Tue-Wed-Thu (Tuesday is History). * The only remaining consecutive slot is Wednesday-Thursday-Friday. 4. **Assigning the Block:** * Wednesday = English * Thursday = Economics * Friday = Mathematics 5. **Checking Constraints:** * Economics cannot be on Tuesday (It's on Thursday, so this is met). * History is on Tuesday (Met). * Mathematics is immediately after Economics (Met: Fri after Thu). * English is immediately before Economics (Met: Wed before Thu). 6. **Remaining Lecture:** The only remaining subject is Statistics, and the only remaining day is Monday. So, Monday = Statistics. 7. **Final Schedule:** * Monday: Statistics * Tuesday: History * Wednesday: English * Thursday: Economics * Friday: Mathematics The question asks which lecture is scheduled on Wednesday. Based on our schedule, English is on Wednesday. The final answer is C) English.