Here are the correct choices for each question:
She ... children since 1976. *c) has been teaching
Our next door neighbour ... his car every Sunday. *b) washes
My brother is in the kitchen. He ... a cake. *c) is making
News ... important. *b) are not
Mr.Brown ... to London if he gets a letter. *b) will go
I met my ... friend in London last year. *c) best
Uncle Albert doesn't feel a day ... than forty. *b) older
She seemed to be ... interested in our conversation. *c) less
This book ... in 1890. *c) was published
Some libraries ... by kings and presidents. *d) were founded
Coffee ... at the moment. *c) is being made
I was shown a library. *а) Мне показали библиотеку.
They were told the truth. *d) Им сказали правду.
Father has returned from ... hospital where he visited granny, and he is in ... bed now. He is very tired. *b) the/the
He has missed a lot of classes at ... school. His parents have to go to ... school. (It seems like the answer options are missing here, but the two blanks would be filled with "the" if there are options like that.) *the/the (assuming options for the blanks are "the" as in "at the school" and "to the school").
Feel free to ask if you need further clarifications or assistance!