I have a few questions.
Are these sentences correct? If they aren't, why?

1. 'My favourite fruit is an apple.'
'My favourite fruit is apple.'
'My favourite fruit are apples.'
'My favourite fruit is apples.'

2. 'The cheapest food is cakes.'

3. 'She wanted to go to the library because she wanted to borrow books.'
'She wanted to go to the library because she wants to borrow books.'

Do help me out. Thanks!

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Comments  (Page 2) 
" I like apple " is correct ? As far as I know ' apples ' is more appropriateEmotion: smile
They're both correct, but they mean different things.

"I like apple" treats apple as a mass noun. In this context it means "I like the flavour of apple", or "I like the concept of apple" or some such. It would be an appropriate answer to the question "What's your favourite sort of fruit-juice?", or even "What color wallpaper should we get?".

"I like apples" treats apple as a count noun. In this context it means exactly what it says - that you like individual, countable, apples.

Which version is more appropriate depends on what you want to say.

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1. my favourite fruit is apple.

this is correct, 'coz you are using singular pronoun. if you'r using more than one in a senetce it should be " my favourite fruits are apples"

2. the cheapest food "are" cakes.

3. 'She wanted to go to the library because she wants to borrow books.'
We've pretty much covered the apple, with all it's various different shades of meaning above. Your mention of "singular pronoun" is misleading, however. Everything would work out exactly the same if it had said "Our" instead of "My". The number of the pronoun is irrelevant here - only the number of the fruit (which is always singular because it's a mass noun) and the apple.

The "are" in "the cheapest food are cakes" is, I'm afraid, wrong. (So is the combination "wanted"/"wants" in sentence 3. This is how it works:

The following are both grammatically correct:

2a. Cakes ARE the cheapest food.
2b. The cheapest food IS cake.

The form of "to be" (is or are) is taken from the LEFT HAND ITEM. Hence, if one item is singular, and the other plural, the form of "to be" should be consistent with whatever's on the left. If "food" is on the left, you need "is".

Sentence 3 mixes tenses, and so sounds wrong. It should be either:

3a. She wanted to go to the library because she WANTED to borrow books -- (stick to past tense throughout)
3b. She WANTS to go to the library because she wants to borrow books -- (stick to present tense thoughout)

There are also better ways of saying the same thing. e.g.:

3c. She wanted to go to the library to borrow books -- (i.e. omit "because she wants")
3d. She wanted to go to the library IN ORDER to borrow books -- (means the same as 3c).
She went to the library SO AS TO borrow the Great Gatsby IN ORDER TO read chapter 5 again. SO AS TO means the same as IN ORDER TO.
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Thank you all for your replies!