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1- After the festival, the food and drink are given ......to the poor.

a) out b) away

2- The shop is.......a pen with each book that you buy.

a) out b) away

3- Peter, as well as his sisters.......absent today.

a) is b) are

My answer

1- (a) & (b) are OK

2- (a) & (b) are OK . In fact, the difference between 'give away' and 'give out' is not clear when they are used to express the idea that something is given for free.

3- (b)

Comments  

My answers

1- given out

https://www.macmillandictionary.com/dictionary/british/give-out

2- I don't understand the sentence. I think it is "The shop gives away a pen with each book that you buy"

3- is (we don't consider the noun that come after as well as, along with together with etc)

Omar Ahmed1- After the festival, the food and drink are given ......to the poor.a) out b) away

Both work. "Out" suggests that the poor are right there at the time to recieve the food, but "hand out" is more usual in that context, I think. "Away" is more vague but more idiomatic.

Omar Ahmed2- The shop is.......a pen with each book that you buy. a) out b) away

You left a word out, "giving". "Away" is right because that's what you use in this context. The shop is having a giveaway.

Omar Ahmed3- Peter, as well as his sisters.......absent today.a) is b) are

The phrase "as well as his sisters" is parenthetical, or would be if you hadn't left out the second comma setting it off. A parenthetical phrase does not participate in the grammar of the rest of the sentence. The answer is, illogically it must be admitted, (a).

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What do you mean by '"Away" is more vague but more idiomatic' ? Do you mean 'give away' is the best answer?