Concept:
Vedangas are auxiliary disciplines developed for the proper understanding and preservation of the Vedas. The word “Vedanga” literally means:
\[
\text{Veda} + \text{Anga} = \text{Limbs of the Veda}
\]
These subjects were considered essential for:
• correct pronunciation,
• interpretation,
• ritual performance,
• and preservation of Vedic knowledge.
There are six Vedangas in total.
Step 1: Understanding the six Vedangas.
The six Vedangas are:
• Shiksha (Phonetics)
• Kalpa (Rituals)
• Vyakarana (Grammar)
• Nirukta (Etymology)
• Chhanda (Metre)
• Jyotisha (Astronomy/Astrology)
These disciplines supported the study and transmission of Vedic literature.
Step 2: Examining the given options one by one.
• Option (A) Metre (Chhanda):
Chhanda is one of the six Vedangas and deals with Vedic metres and poetic structure.
• Option (B) Grammar (Vyakarana):
Vyakarana is also one of the six Vedangas and focuses on Sanskrit grammar.
• Option (C) Logic (Tarka):
Tarka or logic is an important branch of Indian philosophy, but it is not included among the six Vedangas. Therefore, this option is correct.
• Option (D) Astronomy (Jyotisha):
Jyotisha is one of the Vedangas and deals with astronomical calculations and ritual timings.
Step 3: Importance of Vedangas in ancient India.
Vedangas helped preserve:
• the accuracy of Vedic recitation,
• ritual correctness,
• and linguistic purity of sacred texts.
They also contributed significantly to:
• Sanskrit grammar,
• astronomy,
• mathematics,
• and literary traditions.
Step 4: Final conclusion.
Since Tarka (Logic) is not one of the six Vedangas, the correct answer is:
\[
\boxed{\text{Logic (Tarka)}}
\]