Step 1: Understanding the Question:
We need a key that is a sunk key (fits into a keyway cut into both the shaft and the hub), is tapered, and stops the hub from sliding along the shaft.
Step 2: Check option (A), Saddle key:
A saddle key sits in a keyway cut only in the hub and just rests on the curved shaft surface, it is not a sunk key, and it holds on by friction alone, so this does not fit the description.
Step 3: Check option (B), Woodruff key:
A woodruff key is a sunk key shaped like a half-disc, it self-aligns well in tapered shaft applications, but it is not described as a tapered wedge-style key that locks out axial motion the way the question asks, so this does not fit.
Step 4: Check option (C), Feather key:
A feather key is a sunk key with a uniform, parallel cross-section, it is made on purpose to let the hub slide along the shaft while still transmitting torque, so it is the opposite of what is needed here, so this is wrong.
Step 5: Check option (D), Gib-head key:
A gib-head key is a rectangular sunk key with a taper (commonly 1 in 100) along its top face and a raised head for easy removal.
When it is driven into the keyway, the taper wedges tightly between shaft and hub, and this wedge action is what stops any relative axial sliding, matching the question exactly.
\[ \text{Sunk} + \text{Tapered} + \text{No axial motion} = \text{Gib-head key} \]
Final Answer:
Only the gib-head key is sunk, tapered, and built to prevent axial motion.
\[ \boxed{\text{Gib-head key}} \]