**Core Concept**
Intestinal obstruction is a condition where there is a mechanical or functional blockage in the small or large intestine, leading to abdominal pain, vomiting, and constipation. The clinical presentation of colicky pain, bilious vomiting, and absence of bowel movements and flatus is characteristic of a complete intestinal obstruction.

**Why the Correct Answer is Right**
In a complete intestinal obstruction, the intestinal lumen is completely blocked, leading to accumulation of fluid, gas, and feces proximal to the obstruction. The presence of bilious vomiting indicates that the obstruction is located in the small intestine, as the bile from the liver and gallbladder enters the small intestine. The absence of bowel movements and flatus suggests that the obstruction is complete and not intermittent.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect as it does not specify the location or nature of the obstruction, and the symptoms described are not typical of a partial obstruction.
**Option B:** This option is incorrect as it implies a functional obstruction, which is not supported by the clinical presentation of bilious vomiting and absence of bowel movements and flatus.
**Option C:** This option is incorrect as it suggests a diagnosis of ileus, which is a condition of decreased or absent bowel movements, but does not account for the colicky pain and bilious vomiting.

**Clinical Pearl / High-Yield Fact**
In a patient with suspected intestinal obstruction, a plain abdominal X-ray can help identify the location and nature of the obstruction by showing the presence of air-fluid levels, dilated bowel loops, and absence of gas in the distal bowel.

**Correct Answer:** C.