Disregard commonly known facts. Which conclusion would follow on the basis of given statements only?
Statement (I): Some bottles are car. Some cars are cycle.
Conclusion: \[\begin{array}{rl} \bullet & \text{[(I)] Some bottles are cycle is a possibility.} \\ \bullet & \text{[(II)] All bottles are cycle.} \\ \end{array}\]
Step 1: Analyze the given statements.
From Statement (I), it is possible that some bottles can be cycles, but it is not certain that all bottles are cycles, so conclusion (II) cannot be definitely true.
Step 2: Conclusion.
Only conclusion (I) is possible as a possibility. Conclusion (II) is not guaranteed by the statements.
Final Answer: \[ \boxed{(1) \, \text{Only conclusion (I) follow.}} \]
A weight of $500\,$N is held on a smooth plane inclined at $30^\circ$ to the horizontal by a force $P$ acting at $30^\circ$ to the inclined plane as shown. Then the value of force $P$ is:
A steel wire of $20$ mm diameter is bent into a circular shape of $10$ m radius. If modulus of elasticity of wire is $2\times10^{5}\ \text{N/mm}^2$, then the maximum bending stress induced in wire is: