Can move tutor moves pass on to a egg?

Question

For example, I breed a male Druddigon that knows Outrage, and a female Rampardos. Cranidos has Outrage as a move tutor move. Will the bred Cranidos have Outrage?

Answer 1

Well, in your example, no. Because Rampardos' Egg Moves don't have Outrage as a move in them. You can use the Move Tutor anyway to teach it Outrage.
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But to answer your question, yes. If you have a perfect match, with everything right, the Move Tutor move will pass on down.