Complete the sentences with the verbs in the boxes.

[may rain, can't have rained, could have won, could have solved]

There are some dark clouds in the sky. It may rain later. 
1 Adam's good with computers - he _ your problem. Just ask him.
2 The rivers and lakes are almost dry in this region - it _ for a long time.
3 She is buying lots of new things! She _ a lot of money in the lottery.

[could take, could have taken, must like, must have liked]

4 Does your aunt like modern art? You _ her to the new art gallery when she next visits you. 
5 He's been playing that computer game all day. He _ it very much. 
6 People _ that song - the radio played it many times every day.
7 Violet _ the key and now you can't find it.