In the word ACCUMULATE, if the 1st letter is interchanged with the 2nd, 3rd letter with the 4th, 5th with the 6th, 7th with the 8th and 9th with the 10th, then the 6th letter from the left will be:
M
This solution explains the process of rearranging letters in the word ACCUMULATE based on specific interchange rules and finding the 6th letter from the left in the modified word.
Interchanges in the Word ACCUMULATE
The original word given is ACCUMULATE. It has 10 letters. The task involves interchanging pairs of letters based on their positions:
- The $1^{st}$ letter is swapped with the $2^{nd}$.
- The $3^{rd}$ letter is swapped with the $4^{th}$.
- The $5^{th}$ letter is swapped with the $6^{th}$.
- The $7^{th}$ letter is swapped with the $8^{th}$.
- The $9^{th}$ letter is swapped with the $10^{th}$.
Let's trace the transformation step-by-step:
Original Word: A C C U M U L A T E
Positions: 1 2 3 4 5 6 7 8 9 10
Applying the interchanges:
- Swap $1^{st}$ (A) and $2^{nd}$ (C): C A C U M U L A T E
- Swap $3^{rd}$ (C) and $4^{th}$ (U): C A U C M U L A T E
- Swap $5^{th}$ (M) and $6^{th}$ (U): C A U C U M L A T E
- Swap $7^{th}$ (L) and $8^{th}$ (A): C A U C U M A L T E
- Swap $9^{th}$ (T) and $10^{th}$ (E): C A U C U M A L E T
The resulting word after all interchanges is CAUCUMALET.
To visualize this transformation clearly, here is a table:
| Original Position | $1^{st}$ | $2^{nd}$ | $3^{rd}$ | $4^{th}$ | $5^{th}$ | $6^{th}$ | $7^{th}$ | $8^{th}$ | $9^{th}$ | $10^{th}$ |
| Original Letter | A | C | C | U | M | U | L | A | T | E |
| Interchanged Letter | C | A | U | C | U | M | A | L | E | T |
| Final Position | $1^{st}$ | $2^{nd}$ | $3^{rd}$ | $4^{th}$ | $5^{th}$ | $6^{th}$ | $7^{th}$ | $8^{th}$ | $9^{th}$ | $10^{th}$ |
Identifying the 6th Letter from Left
The question asks for the 6th letter from the left in the newly formed word.
The modified word is: C A U C U M A L E T
Let's count the letters from the left:
- $1^{st}$ letter: C
- $2^{nd}$ letter: A
- $3^{rd}$ letter: U
- $4^{th}$ letter: C
- $5^{th}$ letter: U
- $6^{th}$ letter: M
- $7^{th}$ letter: A
- $8^{th}$ letter: L
- $9^{th}$ letter: E
- $10^{th}$ letter: T
The 6th letter from the left is M.
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