What has a ring but no finger?

A couple went on a climbing trip. But only the husband returned from the vacation and said that his wife slipped off while climbing and died. On investigating, the local sheriff arrested him saying, 'Your travel agent called. You murdered your wife.'

The man did not inform anyone about the trip. Then how was the agent so sure that it was a murder?

Cristina was born in 1888. She just had her 30th birthday today how did that happen?

There are 2 people near the river and both of them want to get on the other side. The boat can only take one of them. But they got across.
How?

There are 2 cops parked along a one-way street looking for traffic violations. They spot a taxi driver going in the wrong direction, yet they do nothing.

Why?

Can you divide the below-given shape into four equal and identical pieces?

How many runs at maximum can a batsman score in a normal one-day match? Consider the fact that the conditions are ideal and there are no No Balls, no Wide Balls and no Extras in that match.

There are nine dots in the picture that has been attached with this question. Can you join all the dots by drawing four straight lines without picking up your pen?

Identify Me

Hint1: I am a god
Hint 2: I am a planet
Hint 3: measurer of heat

It belongs to you, but other people use it more than you do. What is it?