In a certain code, 'ABC DEF' is written as 'ZYX WVU'. How would 'LOSS' be written in that code?
OLHH
This question asks us to understand a specific coding pattern used to transform one set of letters into another and then apply that same pattern to a new word, 'LOSS'. We are given that 'ABC DEF' is written as 'ZYX WVU'. Our task is to find out how 'LOSS' would be written in this code.
Let's look closely at the relationship between the original letters ('ABC DEF') and their coded forms ('ZYX WVU'). We can examine the positions of these letters in the standard English alphabet.
| Letter | Alphabet Position | Coded Letter | Coded Letter Position | Sum of Positions |
|---|---|---|---|---|
| A | 1 | Z | 26 | $1 + 26 = 27$ |
| B | 2 | Y | 25 | $2 + 25 = 27$ |
| C | 3 | X | 24 | $3 + 24 = 27$ |
| D | 4 | W | 23 | $4 + 23 = 27$ |
| E | 5 | V | 22 | $5 + 22 = 27$ |
| F | 6 | U | 21 | $6 + 21 = 27$ |
From the table, we can see a clear pattern. Each letter in the original phrase is replaced by a letter such that the sum of their alphabetical positions is 27. This corresponds to replacing each letter with its counterpart from the reverse alphabetical order (A with Z, B with Y, and so on).
This type of coding is a form of substitution cipher, specifically using a reverse alphabetical mapping.
Now we apply this same reverse alphabetical pattern to the word 'LOSS'. We will find the coded letter for each letter in 'LOSS' by finding the letter whose alphabetical position sums up to 27 with the original letter's position.
Combining the coded letters for L, O, S, and S, we get OLHH.
Let's compare our result 'OLHH' with the given options:
Our calculated code for 'LOSS' is 'OLHH', which matches Option 1.
| Concept | Description | Example (from this problem) |
|---|---|---|
| Letter Coding | Replacing letters of a word with other letters based on a specific rule or pattern. | 'ABC DEF' is coded as 'ZYX WVU'. |
| Substitution Cipher | A method where characters are replaced with other characters. | Replacing each letter with its reverse alphabetical counterpart. |
| Reverse Alphabetical Order Coding | A specific substitution where the 1st letter (A) is replaced by the 26th (Z), 2nd (B) by 25th (Y), etc. The sum of positions is usually 27. | A <--> Z, B <--> Y, C <--> X, etc. |
Letter coding is a common type of question in logical reasoning. It tests your ability to identify patterns and apply rules consistently. Here are some other patterns you might encounter:
Solving letter coding problems often involves writing down the alphabet and its positions, or even writing the alphabet forward and backward to spot the relationship easily.
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