Step 1: Concept Firing order is the sequence in which the power stroke occurs in the cylinders of a multi-cylinder engine.
Step 2: Meaning The order is chosen to minimize vibration and ensure smooth engine operation by balancing the forces on the crankshaft.
Step 3: Analysis For an in-line 6-cylinder engine, the firing strokes are timed to occur every $120^{\circ}$ of crankshaft rotation. The most standard and widely used sequence is 1-5-3-6-2-4.
Step 4: Conclusion 1-5-3-6-2-4 is the common firing order.
Final Answer: (C)