Without lie
How many times did you picked answers just to get the approval of a companions?
I didn't; I do what's in-character. My Surana Warden was Libertarian, he made his disdain of the Circle quite clear to Wynne; explained it was an "oppressive place" when she tried to convince him to go back.
He also told Leliana he thought Andraste was simply a woman and not touched by any god, and possibly a liar.
My Lavellan, Revas, didn't; he made his dedication to his people clear, and didn't acquiesce to following the Maker (despite what Giselle and Cassandra say).
Cassandra hated him. Vivienne hated him. Sera hated him. Honestly, I think he was only friends with Varric and Dorian.
How many times you let Zevran join your team just to get a new companion?
It was the Blight; my Surana Warden didn't turn down help. He even tried conscripting the bandits on the highway, then killed them afterwards (they were a threat and wouldn't submit to his attempted Right).
How many times did you drank from the well Morrigan just because you liked the character?
Revas drank from the Well. It was his heritage.
How many times did you pretended to be interested in Solas hobbies just to get his approval?
Solas and Lavellan strongly disagreed about the Dalish and Andrastian elves, but oddly enough they did agree on spirits and blood magic (Solas' views were reminiscent of the perspective held by Merill).