A Statement followed by Conclusion-I and Conclusion-II is given below. You have to take the Statement to be true even if it seems to be at variance from the commonly known facts. Read all Conclusions and then decide which of the given Conclusion(s) logically follows/ follow from the Statement, disregarding the commonly known facts.

Statement: Some radios are mobiles. All mobiles are computers. Some computers are watches.

Conclusion-I: Certainly some radios are watches.

Conclusion-II: Certainly some mobiles are watches.

Which one of the following is correct?

Correct Answer: Neither Conclusion-I nor Conclusion-II

Let us analyze the given statements logically step-by-step:

Given Statements:
1. Some radios are mobiles.
2. All mobiles are computers.
3. Some computers are watches.

Step-by-step Logical Analysis:

Evaluating Conclusion-I: "Certainly some radios are watches."
From Statement 1, there is an overlap between radios and mobiles.
From Statement 2, since all mobiles are computers, the portion of radios that are mobiles is also included in computers. Thus, we can conclude that "Some radios are computers."
From Statement 3, we know that "Some computers are watches." However, this statement does not specify whether the computers that are watches overlap with the radios. It is possible that the set of watches overlaps only with the non-radio part of computers.
Since a direct or definite link between radios and watches cannot be established, Conclusion-I does not logically follow.

Evaluating Conclusion-II: "Certainly some mobiles are watches."
From Statement 2, all mobiles are contained within computers.
From Statement 3, some computers are watches.
However, the watches could overlap with the region of computers outside the set of mobiles. There is no certainty that any mobile is a watch.
Therefore, Conclusion-II does not logically follow with certainty.

Conclusion:
Since neither Conclusion-I nor Conclusion-II logically follows from the given statements, the correct choice is Neither Conclusion-I nor Conclusion-II.