In a certain code language, BACHELOR is written as YZXSVOLI. How will EDUCATION be written as in that language?
VWFXZGRLM
This question asks us to decode a word based on a given coding pattern and then apply that pattern to a new word. We are given that the word BACHELOR is coded as YZXSVOLI. We need to find out how EDUCATION will be written in the same code language.
Let's look at the relationship between the letters in BACHELOR and their corresponding letters in YZXSVOLI:
Observing this pattern, we can see that each letter in the original word is replaced by a letter from the opposite end of the alphabet. For example, A is the 1st letter and Z is the 26th. B is the 2nd letter and Y is the 25th (2nd from the end). This type of coding is often called an Atbash cipher or a reverse alphabet code.
Let's confirm this mapping with the alphabet:
| Original Letter | Position (from Start) | Coded Letter | Position (from End) |
|---|---|---|---|
| A | 1 | Z | 1 |
| B | 2 | Y | 2 |
| C | 3 | X | 3 |
| D | 4 | W | 4 |
| E | 5 | V | 5 |
| F | 6 | U | 6 |
| G | 7 | T | 7 |
| H | 8 | S | 8 |
| I | 9 | R | 9 |
| J | 10 | Q | 10 |
| K | 11 | P | 11 |
| L | 12 | O | 12 |
| M | 13 | N | 13 |
| N | 14 | M | 14 |
| O | 15 | L | 15 |
| P | 16 | K | 16 |
| Q | 17 | J | 17 |
| R | 18 | I | 18 |
| S | 19 | H | 19 |
| T | 20 | G | 20 |
| U | 21 | F | 21 |
| V | 22 | E | 22 |
| W | 23 | D | 23 |
| X | 24 | C | 24 |
| Y | 25 | B | 25 |
| Z | 26 | A | 26 |
This table shows that the pattern holds true for BACHELOR (B<->Y, A<->Z, C<->X, H<->S, E<->V, L<->O, O<->L, R<->I).
Now, we apply the same reverse alphabet coding pattern to the word EDUCATION:
Combining these coded letters, the word EDUCATION is written as VWFXZGRLM in this code language.
Let's compare our result, VWFXZGRLM, with the given options:
Therefore, the correct coded word for EDUCATION is VWFXZGRLM.
| Original Word | Coded Word | Pattern |
|---|---|---|
| BACHELOR | YZXSVOLI | Reverse Alphabet (Atbash Cipher) |
| EDUCATION | VWFXZGRLM | Same Reverse Alphabet Pattern |
Coding-decoding is a common topic in logical reasoning. These questions test your ability to identify patterns and rules in how letters, words, or numbers are coded. Some common types include:
To solve coding-decoding problems, it's helpful to:
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