Question

Residency is a famous housing complex with many well-established individuals among its residents. A recent survey conducted among the residents of the complex revealed that all of those residents who are well established in their respective fields happen to be academicians. The survey also revealed that most of these academicians are authors of some best-selling books. Based only on the information provided above, which one of the following statements can be logically inferred with certainty?

• A. Some residents of the complex who are well established in their fields are also authors of some best-selling books.
• B. All academicians residing in the complex are well established in their fields.
• C. Some authors of best-selling books are residents of the complex who are well established in their fields.
• D. Some academicians residing in the complex are well established in their fields.

Hint:

Always differentiate between "all", "most", and "some". Certainty-based inference questions usually rely on the strongest guaranteed conclusion.

Answer 1

The Correct Option is D

Step 1: Analyze given facts. 1. All well-established residents are academicians. 2. Most of these academicians are authors of best-selling books.

Step 2: What can we say with certainty? - From (1): Every resident who is well established must be an academician. \(\Rightarrow\) So, at least some academicians are well established. - From (2): "Most" academicians are authors, but not necessarily all. Therefore, we cannot conclude about "some" with certainty.

Step 3: Check options. - (A): Cannot be said with certainty, as "most" ≠ "some" (it could be none of the well-established ones are authors). - (B): Wrong, because we don't know if all academicians are well established. - (C): Not certain, since we only know "most academicians are authors", but they may not overlap with "well established". - (D): Correct, because all well-established residents are academicians. Hence, at least some academicians must be well established.

Final Answer: \[ \boxed{\text{Some academicians residing in the complex are well established in their fields.}} \]