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There are quite a few trek in the range of 120kms from Bangalore, i did sum up few below. Savandurga Hill: 60km from Bnglr, difficulty level is easy
Narayangiri: 54km easy to moderate
Madhugiri hill: 103km, easy trek
Bheemashwari: 104, moderate trek
Skandagiri: 61km, difficult i hope this suffice your need.
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You can check Bangalore mountaineering club, they organize planned weekend trek. you can book for alone or a group with them.
https://bmcindia.org/
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