Which one of the following pairs does not form part of the six systems of Indian Philosophy?

1. The question asks to identify the pair that does *not* form part of the six systems (also known as Shad Darshanas or Astika schools) of orthodox Indian Philosophy. These schools accept the authority of the Vedas. 2. The six systems are traditionally grouped into three pairs: a) Nyaya and Vaisheshika b) Sankhya and Yoga c) Mimamsa (Purva Mimamsa) and Vedanta (Uttara Mimamsa) 3. Evaluating the options: - (A) Mimamsa and Vedanta: Both are part of the six systems. - (B) Nyaya and Vaisheshika: Both are part of the six systems. - (C) Lokayata and Kapalika: Lokayata (also known as Charvaka) is a heterodox (Nastika) school, characterized by materialism and skepticism towards Vedas. The Kapalika were a Shaivite Tantric sect, known for extreme ascetic practices, not considered one of the six orthodox philosophical systems. Therefore, this pair does not form part of the six systems. - (D) Sankhya and Yoga: Both are part of the six systems. 4. Thus, the correct answer is (C).