In this logical reasoning question on statements and conclusions, you are given information about managers, boys, and people who are young. Accept the statements as true even if they differ from common sense, then examine the conclusions and decide which of them must logically follow. Statements: (1) Some managers are young. (2) All boys are young. Conclusions: (I) Some boys are managers. (II) Some managers are boys.

Introduction / Context:
This question checks your ability to reason about overlapping sets when only partial information is given. You are told something about managers, boys, and young people, and then asked whether there is any guaranteed overlap between managers and boys. The key challenge is to avoid assuming more than what is stated and to distinguish possible situations from logically necessary ones.

Given Data / Assumptions:

• Statement 1: Some managers are young.
• Statement 2: All boys are young.
• Conclusion I: Some boys are managers.
• Conclusion II: Some managers are boys.
• We assume no extra relationship between “managers” and “boys” beyond what is directly provided.

Concept / Approach:
Both statements talk about the set of young people. Some managers lie inside the young group, and all boys lie inside the young group. However, there is no direct relation given between the set of managers and the set of boys. When two different subsets of a larger set are mentioned, we must not assume they overlap unless the statements specifically say so. To test conclusions, we try to construct at least one diagram that satisfies the statements but makes a conclusion false. If such a diagram exists, the conclusion does not logically follow.

Step-by-Step Solution:
Step 1: Draw a large circle representing young people.Step 2: Place a region for managers that partially lies inside the young circle, because some managers are young. There may also be managers outside the young group, but that is not important here.Step 3: Place the boys group completely inside the young circle, because all boys are young. This does not tell us whether boys and managers have any overlap inside young people.Step 4: Consider conclusion I: “Some boys are managers.” This would require that the boys region and the manager region overlap. But the statements allow a situation where all boys are young but none of them are managers. Therefore conclusion I is not necessary.Step 5: Consider conclusion II: “Some managers are boys.” This is the same overlap viewed from the other side. Again, nothing in the statements forces any boy to be a manager. It is possible that all young managers are adults who are not boys, while all boys are young students and none of them manage anything. So conclusion II is not forced either.

Verification / Alternative check:
Take a simple numerical example. Suppose there are 10 young people. Out of them, 3 are managers and 7 are boys. It is entirely possible that these 3 managers are different individuals from the 7 boys. Then “Some managers are young” is true (those 3 managers), and “All boys are young” is also true (all 7 boys are in the young group). However, there is no boy who is a manager, and no manager who is a boy, so both conclusions fail. Since such a situation obeys the statements but makes both conclusions false, neither conclusion follows logically.

Why Other Options Are Wrong:
Option A claims that only conclusion I follows, but we have seen that there can be zero overlap between boys and managers. Option B claims that only conclusion II follows, which is the same error seen from the managers side. Option D says both conclusions follow, which clearly contradicts the counterexample. Only option C correctly acknowledges that neither conclusion is guaranteed.

Common Pitfalls:
Many learners automatically assume that if two groups share a common attribute, such as being young, then the groups must overlap. This is not logically necessary. Both managers and boys are contained within the larger group of young people, but they can occupy completely different parts of that group. Another mistake is to unconsciously rely on real world stereotypes about managers and boys, which should be avoided in formal reasoning questions.

Final Answer:
Therefore, the logically correct decision is that neither conclusion I nor conclusion II follows from the given statements.