I. Rhrasal verb RUN. Complete the sentences with the correct particle.

1. I ran ... my childhood friend at the station yesterday.

2. My printer isn't printing well. It's run ... ... ink.

3. When teens quarrel with their parents, they sometimes run ... from home.

4. You need to run ... this play once more.

5. I almost ran ... a cat while I was driving home.

II. Prepositions. Complete the sentences with the correct prepositions.

1. This sort ... music is popular ... teenagers nowadays.

2. Pushkin is the most well-known Russian poet ... all time who is famous ... his poems.

3. It's nice ... John to help us carry our heavy bags.

4. Robert Deniro, starring ... the last scene, adds popularity ... this movie.

5. A lot of people ... the auction were eager to buy a painting ... Picasso which was sold ... a great amount of money.

I. Phrasal verb RUN. Complete the sentences with the correct particle.

1. I ran into my childhood friend at the station yesterday.
Explanation: In this sentence, the phrasal verb "run into" means to unexpectedly meet or come across someone. So, the correct particle to complete the sentence is "into."

2. My printer isn't printing well. It's run out of ink.
Explanation: The phrasal verb "run out" means to use up or exhaust something completely. In this case, the printer has used up all the ink. So, the correct particles to complete the sentence are "out of."

3. When teens quarrel with their parents, they sometimes run away from home.
Explanation: The phrasal verb "run away" means to leave home without permission, usually to escape from a difficult or unhappy situation. So, the correct particle to complete the sentence is "away."

4. You need to run through this play once more.
Explanation: The phrasal verb "run through" means to quickly go over or rehearse something. So, the correct particles to complete the sentence are "through."

5. I almost ran over a cat while I was driving home.
Explanation: The phrasal verb "run over" means to hit someone or something with a vehicle. In this case, the car almost hit the cat. So, the correct particle to complete the sentence is "over."

II. Prepositions. Complete the sentences with the correct prepositions.

1. This sort of music is popular among teenagers nowadays.
Explanation: The preposition "among" is used when talking about a group and means that something is popular within that group. So, the correct prepositions to complete the sentence are "of" and "among."

2. Pushkin is the most well-known Russian poet of all time who is famous for his poems.
Explanation: The preposition "of" is used to indicate possession or association. In this case, Pushkin is associated with being the most well-known poet of all time. The preposition "for" is used to indicate the reason or purpose of fame. So, the correct prepositions to complete the sentence are "of" and "for."

3. It's nice of John to help us carry our heavy bags.
Explanation: The preposition "of" is used to indicate the reason or cause. In this case, it is used to show the reason why it is nice for John to help carry the bags. So, the correct preposition to complete the sentence is "of."

4. Robert De Niro, starring in the last scene, adds popularity to this movie.
Explanation: The preposition "in" is used to indicate involvement or participation. In this case, Robert De Niro is involved in the last scene. The preposition "to" is used to indicate addition or contribution. So, the correct prepositions to complete the sentence are "in" and "to."

5. A lot of people at the auction were eager to buy a painting by Picasso, which was sold for a great amount of money.
Explanation: The preposition "at" is used to indicate location or position. In this case, it shows where the eager people were. The preposition "by" is used to indicate the artist or creator. The preposition "for" is used to indicate the price or value. So, the correct prepositions to complete the sentence are "at," "by," and "for."

I hope this detailed explanation and step-by-step solution help clarify the correct particles and prepositions for the given sentences. Let me know if you have any further questions!