pronoun
1
BAD : We had to answer each questions on a new page.
GOOD : We had to answer each question on a new page.
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each + singular noun: 'Each child was given a balloon.'
2
BAD : Each of the nurses were very kind.
GOOD : Each of the nurses was very kind.
BAD : Each of us have a room on the top floor.
GOOD : Each of us has a room on the top floor.
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each of + plural noun/pronoun + singular verb: 'Each of the three children was given a balloon.'
3
BAD : Each of us did not have an umbrella.
GOOD : None/Neither of us had an umbrella.
4
BAD : They have each their own problems.
GOOD : They each have their own problems.