Directions: Study the following information carefully to answer the given questions: The teachers' colony has 2800 members, out of which 650 members read only English newspaper. 550 members read only Hindi newspaper and 450 members read only Marathi newspaper. The number of members reading all the 3 newspapers is 100. Members reading Hindi as well as English newspaper are 200. 400 members read Hindi as well as Marathi newspaper and 300 members read English as well as Marathi newspaper. Find the difference between the number of members reading English as well as Marathi newspaper and the number of members reading English as well as Hindi newspaper.

### Concept & Logic This question is a pure reading comprehension test embedded within a complex data set. It requires zero set theory manipulation or Venn diagram drawing. The values requested are stated directly in the prompt text. ### Step-by-Step Solution * **Extraction:** * Look for the specific phrase: "reading English as well as Marathi newspaper". * The text explicitly states: "...and 300 members read English as well as Marathi newspaper." (Value = $300$) * Look for the specific phrase: "reading English as well as Hindi newspaper". * The text explicitly states: "Members reading Hindi as well as English newspaper are 200." (Value = $200$) * **Calculation:** * Difference = (English and Marathi) - (English and Hindi) * Difference = $300 - 200 = 100$ ### Exam Strategy & Shortcut Do not overcomplicate! When a question asks for a comparison of broad categories (like "English as well as Marathi" instead of "ONLY English as well as Marathi"), check the prompt to see if that exact broad category is provided. In this case, it is verbatim. Solve this in 5 seconds by just reading the numbers and subtracting. ### Common Pitfall The primary mistake students make is over-analyzing the question and subtracting the "all three" center ($100$) from the values to find the "Only" two intersections, calculating $(300-100) - (200-100) = 200 - 100 = 100$. Fortunately, the math coincidentally works out to the same answer here, but doing the extra steps wastes precious exam time and risks arithmetic errors. ### Final Answer **Therefore, the correct answer is 100.**