In the following question, two statements are given, followed by two conclusions I and II. You have to consider the statements to be true, even if they seem to be at variance with commonly known facts, and then decide which conclusion or conclusions follow. Statement I: No bikes are two-wheelers. Statement II: All wheels are bikes. Conclusion I: No two-wheelers are wheels. Conclusion II: All wheels are two-wheelers. Choose the option that correctly identifies which conclusion or conclusions logically follow from these statements.

Introduction / Context:
This question deliberately uses apparently contradictory ideas about bikes and two-wheelers. In real life, bikes are actually two-wheelers, but the exam asks you to ignore real world knowledge and work only with the given logical statements.

Given Data / Assumptions:
Treat the following as true.

• Statement I: No bikes are two-wheelers.
• Statement II: All wheels are bikes.
• Conclusion I: No two-wheelers are wheels.
• Conclusion II: All wheels are two-wheelers.

Concept / Approach:
“No bikes are two-wheelers” means the sets Bikes and Two-wheelers are completely disjoint. “All wheels are bikes” means the set Wheels is fully contained within the Bikes set. We must combine these relations and see how Wheels and Two-wheelers relate.

Step-by-Step Solution:

Verification / Alternative check:
Draw a Bikes set and place the Wheels set completely inside it. Draw a separate Two-wheelers set with no overlap with Bikes. Since Wheels are inside Bikes and Bikes do not meet Two-wheelers, no wheel can be a two-wheeler. This confirms conclusion I and clearly rejects conclusion II.

Why Other Options Are Wrong:
Option B says only conclusion II follows, which goes directly against the combined effect of the statements. Option C says both follow, but two statements that contradict each other about the same sets cannot both be logically valid together. Option D says neither follows, ignoring the clear deduction that two-wheelers and wheels must be disjoint.

Common Pitfalls:
Many test takers find this question uncomfortable because the statements contradict everyday knowledge. The key rule in such reasoning problems is to suspend real world understanding and treat the given statements as a self contained logical world.

Final Answer:
Only conclusion I is logically valid. Therefore, the correct option is “Only conclusion I follows.”