what are the solutions to the logical problem/inconsistent triad
general: God is not omnipotent, or all loving, or all good, (solutions to the nature of God) evil does not exist or God doesn't exist, evil has a purpose or evil is inevitable (solutions to evil existing)
God isn't perfectly good: no evidence God is perfect, if he isn't he's not worthy of worship, or perhaps we misunderstand God's goodness as we think of it akin to human goodness - don't have power to understand.
God is not all powerful: God is incapable of destroying evil. Dualist view lays out 2 coeternal sides existing (good and evil) and God represents the best side of good, he can only lead events towards goof but cannot control them or stop evil.
God isn't all loving: not usually chosen by theists, perhaps however God is malevolent, or we don't understand God's love or it's greater plan, God has reasons to not intervene
Evil is a punishment: e.g. Islam believes natural disasters are expressing God's will and are a test of faith. suffering is deserved/brings one closer to God (Bible, Old testament, the great flood, expulsion from Eden). evil punishes those who don't believe or sin.
Evil is a test: tests human qualities and commitment to God, provides opportunity to show love and noble traits, builds character (however not everyone benefits). e.g. story of Job, sacrifice of Isaac (Old Testament, Hebrew scriptures).
Evil is inevitable: God isn't responsible, an imperfect world is the best world. no evil = no good, growth and achievement impossible, everything perfected by God's love in the end, free will = inevitable evil, but free will is best possible world
Evil allows God's love to be displayed: God cares for those who suffer and evil enables good to be brought out of it, God is vulnerable to evil and suffering through Jesus.