Question

The toy shown in the figure is pushed in the direction of the green arrow as the pencil makes a mark on a wall beside it. Which of the mark(s) in the options can NEVER be made by the pencil? 

• A. A
• B. B
• C. C
• D. D

Hint:

To analyze motion-based patterns, consider the constraints imposed by the object's design and movement path. Sudden or abrupt directional changes may not be feasible for rolling mechanisms.

Answer 1

The Correct Option is B, C

1. The toy moves in a linear fashion as it is pushed along the green arrow. The pencil's motion is determined by the movement of the toy and the rotation of the rollers beneath it.
2. Mark A: A smooth curved line like \(A\) can be created by consistent rolling motion without abrupt changes. Hence, \(A\) is possible.
3. Mark B: The sharp, uneven pattern in \(B\) indicates sudden stops or changes in direction, which are not possible with the smooth rolling motion of the toy. Thus, \(B\) cannot be made.
4. Mark C: The sharp, angular pattern in \(C\) would require the toy to make an instantaneous and abrupt change in its rolling direction, which is mechanically unfeasible. Hence, \(C\) cannot be made.
5. Mark D: A straight-line pattern like \(D\) is feasible as it reflects the straightforward motion of the toy.
Conclusion: The marks that can NEVER be made by the pencil are \(B\) and \(C\).