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

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

Mimamsa and Vedanta
Nyaya and Vaisheshika
Lokayata and Kapalika
Sankhya and Yoga
This question was previously asked in
UPSC IAS – 2014
Lokayata and Kapalika do not form part of the six orthodox (Astika) systems of Indian Philosophy recognized traditionally.
The question requires identification of the components of the traditional six systems of Indian Philosophy (Shad-darshanas).
The six orthodox systems of Indian Philosophy are Nyaya, Vaisheshika, Sankhya, Yoga, Purva Mimamsa (or simply Mimamsa), and Uttara Mimamsa (or Vedanta). Lokayata (also known as Charvaka) is a heterodox (Nastika) materialistic school. Kapalika is a tantric sect of Shaivism.