Question: "monopoly" used in the same way in the following two sentences?

They have no monopoly on intelligence.

A land monopoly renders its holder(s) nearly almighty in an agricultural society.
Answer: the same meaning
Question: "take" used in the same way in the following two sentences?

I take it you're not going?

I estimate the trip will take about ten minutes.
Answer: different meanings
Question: "grain" used in the same way in the following two sentences?

Saw the board across the grain.

A grain of salt.
Answer: different meanings
Question: "leave" used in the same way in the following two sentences?

She was granted leave to speak.

The applicant now seeks leave to appeal and, if leave be granted, to appeal against these sentences.
Answer:
the same meaning