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. How many members read only one newspaper?

### Concept & Strategy The phrase "only one" refers strictly to the outer, non-overlapping segments of the three circles in a Venn diagram. To find the total number of people who read exactly one newspaper, you simply add these three isolated, mutually exclusive groups together. $$\text{Only One} = n(\text{Only } E) + n(\text{Only } H) + n(\text{Only } M)$$ ### Step-by-Step Solution * **Given:** * Only English = $650$ * Only Hindi = $550$ * Only Marathi = $450$ *(Note: The data regarding total members, two-newspaper overlaps, and all-three overlaps is entirely irrelevant for this specific question).* * **Calculation:** * Identify the values that explicitly state "only [Language] newspaper". * Total reading only one = $650 + 550 + 450$ * Total = $1650$ ### Exam Strategy & Shortcut This question is a test of focus. Large word problems often front-load or back-load complex data to intimidate you. Scan the question at the very end first: "read only one newspaper". Scan the text strictly for the word "only" next to single items. Mentally stack them: $600+500+400 = 1500$, plus $50+50+50 = 150$. Total is $1650$. Solve in under 10 seconds. ### Common Pitfall A major mistake is trying to incorporate the total colony size ($2800$) or trying to subtract intersections from the "only" numbers. If the prompt already says "read ONLY English", the mathematical isolation has already been done for you by the examiner. Do not subtract from it again. ### Final Answer **Therefore, the correct answer is 1650.**