Step 1: Understand the function of the rumen.
The rumen is the first and largest stomach compartment in ruminant animals like cows. It hosts a vast population of symbiotic microorganisms (bacteria, protozoa, fungi).
Step 2: Identify the vitamins synthesized by these microorganisms.
These rumen microbes are capable of synthesizing all B-complex vitamins and Vitamin K. The cow then absorbs these vitamins, so they do not need to be supplied in the diet.
Step 3: Evaluate the given options.
Vitamin K: Synthesized by rumen microbes.
Vitamins A, D, and E: These are fat-soluble vitamins that are not synthesized in the rumen. They must be obtained from the cow's diet or through exposure to sunlight (for Vitamin D).
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Therefore, Vitamin K is the correct answer.