Is this sentence wrong?
Spicy food have reduced the risk of cancer, heart disease, and stroke.
If it is wrong then please explain why it is wrong? Is food Plural or Singular ?
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"Food" in your sentence is a collective noun.
A collective noun names a group of individuals or things with a singular form. Examples of collective nouns are: faculty, herd, team. There are collective nouns for people, animals, objects, and concepts. The use of a singular or plural verb depends on the context of the sentence. If one is referring to the whole group as a single entity, then the singular verb is best: The school board has called a special session.
(Dictionary.com. Emphasis mine.)
In your example, "food" is referring to the whole group of spicy foods as a single entity, so the singular verb should be used:
Spicy food has reduced the risk of cancer, heart disease, and stroke.
Alternately, you can use the plural "foods", perhaps to emphasize many different types of spicy things to eat. You would then use the plural verb, like so:
Spicy foods have reduced the risk of cancer, heart disease, and stroke.