Decode the vignette first. An older person with iron deficiency anaemia plus occult blood in the stool almost always has a chronic bleed from the large bowel, and colorectal carcinoma must be excluded.
Ask what one test gives the most. The ideal investigation should see the lesion and grab a sample for histology in the same sitting. Colonoscopy does exactly that across the whole colon and rectum, and it can snare polyps too. So option A wins.
Weigh the alternatives. A barium meal images only the stomach and duodenum, the wrong region for colonic bleeding, so option B is irrelevant. A barium enema can show a filling defect but offers no biopsy and overlooks subtle lesions, making it inferior, so option C is out. A CT abdomen is a staging and spread tool used after a diagnosis is made, not the initial diagnostic test, so option D is out.
Because only colonoscopy both locates and confirms the source with biopsy, it is the investigation of choice.
\[\boxed{\text{Colonoscopy}}\]