Each of the letters in the word KINGDOM are arranged in alphabetical order. How many letters are there in the English alphabetical series between the letter which is fourth from the left and the one which is second from the right in the new letter-cluster thus formed?
Two
The question asks us to take the letters of the word "KINGDOM", arrange them in alphabetical order, and then find the number of letters in the standard English alphabet that are between two specific letters in this new arrangement: the fourth letter from the left and the second letter from the right.
First, let's identify the letters in the word KINGDOM:
Now, we arrange these letters in their standard alphabetical order. The English alphabet order is A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z.
Arranging the letters D, G, I, K, M, N, O alphabetically, we get:
| Position | Letter |
|---|---|
| 1st | D |
| 2nd | G |
| 3rd | I |
| 4th | K |
| 5th | M |
| 6th | N |
| 7th | O |
The new letter-cluster formed by arranging the letters of KINGDOM in alphabetical order is D G I K M N O.
We need to find two specific letters in the new letter-cluster (D G I K M N O):
Let's count from the left in D G I K M N O:
$1^{st}$ from left: D
$2^{nd}$ from left: G
$3^{rd}$ from left: I
$4^{th}$ from left: K
So, the fourth letter from the left is K.
Now, let's count from the right in D G I K M N O:
$1^{st}$ from right: O
$2^{nd}$ from right: N
So, the second letter from the right is N.
We need to find how many letters are there in the English alphabetical series between the letter K and the letter N.
Let's look at the segment of the English alphabet around K and N:
... J, K, L, M, N, O ...
The letters that appear strictly between K and N in the standard English alphabet are L and M.
Counting these letters, we find there are two letters (L and M) between K and N.
The number of letters in the English alphabetical series between the letter which is fourth from the left (K) and the one which is second from the right (N) in the new letter-cluster formed by arranging KINGDOM alphabetically is two.
| Step | Action | Result (for KINGDOM) |
|---|---|---|
| 1 | List letters in word | K, I, N, G, D, O, M |
| 2 | Arrange letters alphabetically | D, G, I, K, M, N, O |
| 3 | Find $4^{th}$ letter from left | K |
| 4 | Find $2^{nd}$ letter from right | N |
| 5 | Count letters between K and N in English alphabet | L, M (Two letters) |
Problems like this test your ability to work with the English alphabet, understand order, and identify positions. They often involve:
Practicing the standard order of the English alphabet (A to Z) and being comfortable with counting positions from both ends is key to solving such alphabetical reasoning questions efficiently.
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O H R E M T
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