**Core Concept**
The Trendelenburg test is a clinical examination used to assess the integrity of the hip abductors, particularly the gluteus medius and minimus muscles, which are responsible for stabilizing the pelvis during weight-bearing activities. A positive Trendelenburg test indicates weakness or paralysis of these muscles on the affected side, leading to a compensatory tilt of the pelvis on the opposite side.

**Why the Correct Answer is Right**
A positive Trendelenburg test on the right side indicates that the right gluteus medius and minimus muscles are weakened or paralyzed. This is likely due to injury to the superior gluteal nerve, which innervates these muscles. The superior gluteal nerve arises from the L4-S1 nerve roots and exits the pelvis through the greater sciatic foramen, above the piriformis muscle. Injury to this nerve can result from trauma, compression, or iatrogenic causes.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because injury to the inferior gluteal nerve would affect the gluteus maximus muscle, which is not primarily responsible for hip abduction.
**Option B:** This option is incorrect because the obturator nerve innervates the adductor muscles of the thigh, not the hip abductors.
**Option C:** This option is incorrect because the femoral nerve innervates the muscles of the anterior thigh, including the quadriceps and iliopsoas, but not the hip abductors.

**Clinical Pearl / High-Yield Fact**
It's essential to remember that a positive Trendelenburg test can be a sign of underlying nerve injury, which may require further investigation and treatment to prevent long-term disability.

**Correct Answer:** B. The obturator nerve is not the correct answer as the question was asking for the nerve injured.