3. the government has introduced a new tax (to/for/ on) luxury goods.4. most people express their preference (for / 10 / op belarusianproducts, 5. the television won't come on. what's the matter (to /with/for) it.6. the prime minister has a great desire (of / for /to) progress.7. there are many advantages (over / of/ in) being able to speak aforeign language.8. i can't see the difference (with / between / in) these two colours.9. industry is the basis (of /for/in) the country's productive potential.10. unfortunately there was some difficulty (of / for / with) the ar-rangements.11. there are strong reasons (10 / for / of) a social distance amongpeople in organizations, 12. the fact that jane was offered a job has no connection (between/with / 10) the fact that her cousin is the managing director.13. i've had an invitation (on/ for / to) two people (to / for / on)laura's barbecue, 14. the accident caused some damage (to / of /for) the car. the cause(of/ for / to) the accident is still unknown.15. he told me about his interest (in / for / of) poetry and his need (in/ for / of) creative activities.​

3. the government has introduced a new tax on luxury goods.

Explanation: The correct preposition to use in this context is "on." The tax is being imposed specifically on luxury goods, meaning that people will have to pay an additional amount of money when purchasing such items.

4. most people express their preference for Belarusian products.

Explanation: The correct preposition to use in this context is "for." It means that the majority of people have a liking or choice for products from Belarus.

5. the television won't come on. what's the matter with it.

Explanation: The correct preposition to use in this context is "with." It is used to inquire about the problem or issue being experienced with the television.

6. the prime minister has a great desire to progress.

Explanation: The correct preposition to use in this context is "to." It indicates that the prime minister has a strong wish or aspiration to make progress.

7. there are many advantages of being able to speak a foreign language.

Explanation: The correct preposition to use in this context is "of." It means that possessing the ability to speak a foreign language brings numerous benefits.

8. i can't see the difference between these two colours.

Explanation: The correct preposition to use in this context is "between." It is used to indicate the comparison or distinction between the two colors.

9. industry is the basis of the country's productive potential.

Explanation: The correct preposition to use in this context is "of." It means that industry forms the foundation or fundamental element of the country's productive potential.

10. unfortunately there was some difficulty with the arrangements.

Explanation: The correct preposition to use in this context is "with." It means that there were challenges or issues encountered regarding the arrangements.

11. there are strong reasons for a social distance among people in organizations.

Explanation: The correct preposition to use in this context is "for." It indicates that there are valid justifications supporting the notion of maintaining a social distance between individuals within organizations.

12. the fact that Jane was offered a job has no connection with the fact that her cousin is the managing director.

Explanation: The correct preposition to use in this context is "with." It means that there is no association or relationship between Jane being offered a job and her cousin holding the position of a managing director.

13. I've had an invitation for two people to Laura's barbecue.

Explanation: The correct preposition to use in this context is "for" when referring to an invitation extended to someone. Also, the preposition "to" is used to indicate the destination or location where the barbecue is taking place.

14. The accident caused some damage to the car. The cause of the accident is still unknown.

Explanation: The correct preposition to use in both sentences is "to." It means that the accident resulted in harm or destruction to the car. Additionally, the preposition "of" is used to refer to the reason or origin of the accident.

15. He told me about his interest in poetry and his need for creative activities.

Explanation: The correct preposition to use in both phrases is "in" when referring to one's interest and "for" when expressing a need or requirement. It means that he shared his fascination or attraction towards poetry and his necessity or desire for engaging in creative activities.