Explanation
- A
Vaisheshika – Patanjali
This option pairs the Vaisheshika school with Patanjali. However, Vaisheshika was founded by sage Kanada, while Patanjali is associated with the Yoga school of philosophy. Therefore, this pairing is incorrectly matched.
- B
Mimansa – Kanada
This option pairs the Mimansa school with Kanada. In reality, Mimansa was founded by sage Jaimini, whereas Kanada is the proponent of Vaisheshika. Thus, this option is wrong.
- C
Nyaya – Gautama
This option correctly pairs the Nyaya school of philosophy with sage Gautama. Nyaya is one of the six orthodox schools of Hindu philosophy known for its system of logic and epistemology, and Gautama is universally recognized in ancient texts as its principal founder, making this the accurate match.
- D
Uttara Mimansa – Kapila
This option pairs Uttara Mimansa with Kapila. Uttara Mimansa, also known as Vedanta, was propounded by Badarayana, while Kapila is the founder of the Samkhya school. Consequently, this pair is incorrect.
Summary. Official key is (c) because Nyaya is correctly matched with sage Gautama. The Vaisheshika school was founded by Kanada and Yoga by Patanjali, making option (a) wrong. Mimansa was established by Jaimini rather than Kanada, ruling out option (b). Finally, Uttara Mimansa is associated with Badarayana, whereas Kapila founded Samkhya, which invalidates option (d).
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