a. The farmer is ploughing the paddy field by using / with a cow.
b. The ox is ploughing the paddy field.
c. The cow is ploughing the paddy field.
d. The bull is ploughing on the paddy field.
e The bull is ploughing on the paddy.
b/c/d/e. The ox/cow/bull is ploughing (on) the paddy (field). -- All permutations are OK I guess, but it would be usual to omit the word "on", and I prefer to write "paddy field" in full.
British people will often say "cow" without even thinking about whether they are talking about a male or female animal.
Most people in Britain know what an ox is, but the word is not used much - it has an old-fashioned feel, like something from the Bible or Shakespeare.
There's also the word "cattle", which farmers use to mean both male and female animals, but most people who aren't farmers will still just say "cows" to refer to a mixed group. Cattle itself is a plural word - if you are talking about one animal, you can't say "a cattle"; you could say "a head of cattle" but you'd be better off saying "cow" or "bull".
A "bovine" is another word for the same animal, but that sounds too scientific for everyday use.
People are waiting to help.
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