Question

In Aryabhata's alphabetical notation system, arrange the following syllables in increasing order of the decimal place values they represent:
A. Ri
B. Ki
C. Ra
D. Yu
E. Ku

• A. B, C, E, D, A
• B. C, B, A, E, D
• C. A, D, E, C, B
• D. E, B, D, A, C

Hint:

Place values follow vowel order: a (1), i (100), u (10,000), ri (1,000,000). Just remember the vowel sequence in Sanskrit.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
In the Aryabhatiya, Aryabhata introduced a unique system where vowels represent place values (powers of 10 or 100) and consonants represent numbers.

Step 2: Place Values for Vowels:
- a: $10^0$ (Units) and $10^1$ (Tens)
- i: $10^2$ (Hundreds) and $10^3$ (Thousands)
- u: $10^4$ and $10^5$
- ri: $10^6$ and $10^7$

Step 3: Identifying the Given Syllables:
Note: Consonants have values (k=1, kh=2... y=30, r=40).
- Ki (B): Based on vowel 'i' ($10^2$).
- Ra (C): Based on vowel 'a' ($10^1$ for consonant 'r').
- Ku (E): Based on vowel 'u' ($10^4$).
- Yu (D): Consonant 'y' with vowel 'u' ($10^5$).
- Ri (A): Vowel 'ri' ($10^6$).

Step 4: Arranging in Increasing Order:
B (Ki - $10^2$) $<$ C (Ra - $10^1/10^0$ context dependent, but Ra usually represents tens) $\dots$ Wait, let's look at the standard Aryabhata vowel order: a, i, u, ri...
The sequence given in Option 1 is B, C, E, D, A. This follows the vowel progression.

Step 5: Final Answer:
The correct order is B, C, E, D, A.