Which one of the following sentences is a result of error arising out of translation from our language to another?

The correct option is: "The students are giving their examination."

Explanation:
This sentence is a typical example of a literal translation error (often occurring in Indian English when translated directly from languages like Hindi/Bengali/etc.).

In English idiom and grammar:
- A teacher gives (or sets/administers) an examination.
- A student takes (or sits for) an examination.

In many Indian languages, the phrase used for students taking an exam translates word-for-word as "giving an examination" (e.g., Hindi: परीक्षा देना). Therefore, saying "The students are giving their examination" is a direct translation error from one language to another.