Determining the Pattern

The logic relates a word to a number based on the alphabetical positions of its letters.

Analogy Breakdown: TABLA : 12

The number 12 is derived from the word TABLA using the following steps:

1. Identify the alphabetical positions of letters: T=20, A=1, B=2, L=12.
2. Separate letters into consonants and vowels.
   • Consonants: T(20), B(2), L(12).
   • Vowels: A(1), A(1).
3. Calculate the sum of positions for consonants: $\sum_{\text{consonants}} = 20 + 2 + 12 = 34$.
4. Calculate the sum of positions for vowels: $\sum_{\text{vowels}} = 1 + 1 = 2$.
5. Sum the results from steps 3 and 4: $\text{Total Sum} = 34 + 2 = 36$.
6. Divide the total sum by 3: $\frac{36}{3} = 12$. This matches the number in the first pair.

Applying the Pattern to SIANT : ??

Using the same logic identified above for the word SIANT:

1. Identify the alphabetical positions of letters: S=19, I=9, A=1, N=14, T=20.
2. Separate letters into consonants and vowels.
   • Consonants: S(19), N(14), T(20).
   • Vowels: I(9), A(1).
3. Calculate the sum of positions for consonants: $\sum_{\text{consonants}} = 19 + 14 + 20 = 53$.
4. Calculate the sum of positions for vowels: $\sum_{\text{vowels}} = 9 + 1 = 10$.
5. Sum the results from steps 3 and 4: $\text{Total Sum} = 53 + 10 = 63$.
6. Divide the total sum by 3: $\frac{63}{3} = 21$.

The missing number is 21.