Definition from macmillandictionary.com
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The government is keen to avoid further conflict with the unions.
We are very keen to encourage more local employers to work with us.
The captain wasn’t keen on having him in the team.
Of course I’m keen for him to be successful.
Many of our players are very young and keen.
The students in this class are all very keen.
a keen cyclist/gardener/amateur historian
His business training was combined with a keen sense of duty.
a keen awareness of the importance of IT to industry
Mr Lindsay always took a keen interest in his pupils’ achievements.
Vultures are known for their extremely keen eyesight.
I have a very keen sense of smell.
a keen mind/brain/intellect