Q. How many astika schools of Hindu philosophy did exist in ancient times, recognizing the authority of the Vedas?
Answer: Six
Notes: There were  six astika(orthodox) schools of Hindu philosophy, recognizing  the authority of the Vedas. These include six systems namely, Sankhya, Yoga, Nyaya, Vaisheshika, Mimamsa and Vedanta.

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Question Number: 159 in Indian Culture: 01-Religion and Philosophy in above course in App.