Step 1: Concept
To match the talas in List-I with their corresponding beat counts in List-II, we must apply the structural formula of each tala along with the respective value of its Jaati.
Step 2: Analytical Calculation of each Tala
- a. Khanda Jati Matya Tala:
- Matya Tala Formula: $L \ D \ L$.
- Khanda Jati means the Laghu has a value of 5 ($L_5$).
- Calculation: $L_5 + D_2 + L_5 = 5 + 2 + 5 = 12$ aksharas.
- Therefore, a matches with iii.
- b. Sankeerna Jati Ata Tala:
- Ata Tala Formula: $L \ L \ D \ D$.
- Sankeerna Jati means the Laghu has a value of 9 ($L_9$).
- Calculation: $L_9 + L_9 + D_2 + D_2 = 9 + 9 + 2 + 2 = 22$ aksharas.
- Therefore, b matches with ii.
- c. Tisra Jati Dhruva Tala:
- Dhruva Tala Formula: $L \ D \ L \ L$.
- Tisra Jati means the Laghu has a value of 3 ($L_3$).
- Calculation: $L_3 + D_2 + L_3 + L_3 = 3 + 2 + 3 + 3 = 11$ aksharas.
- Therefore, c matches with iv.
- d. Chaturasra Jati Triputa Tala:
- Triputa Tala Formula: $L \ D \ D$.
- Chaturasra Jati means the Laghu has a value of 4 ($L_4$).
- Calculation: $L_4 + D_2 + D_2 = 4 + 2 + 2 = 8$ aksharas.
- Therefore, d matches with i.
Step 3: Verification
The matching pairs are: a-iii, b-ii, c-iv, d-i. This corresponds exactly to option (A).
Final Answer: (A)