In a certain code, ACQUIRE is written as ZXJFRIV. How will MANAGER be written in that code?
NZMZTVI
Coding and decoding questions test your ability to identify a pattern or rule in how words or letters are transformed and then apply that rule to a new word. In this specific problem, we are given a coded word for 'ACQUIRE' and asked to find the code for 'MANAGER' using the same rule.
Let's look at how each letter in 'ACQUIRE' is transformed into a letter in 'ZXJFRIV'. We can analyze their positions in the English alphabet (A=1, B=2, ..., Z=26).
| Original Letter | Position | Coded Letter | Position | Sum of Positions |
|---|---|---|---|---|
| A | 1 | Z | 26 | 1 + 26 = 27 |
| C | 3 | X | 24 | 3 + 24 = 27 |
| Q | 17 | J | 10 | 17 + 10 = 27 |
| U | 21 | F | 6 | 21 + 6 = 27 |
| I | 9 | R | 18 | 9 + 18 = 27 |
| R | 18 | I | 9 | 18 + 9 = 27 |
| E | 5 | V | 22 | 5 + 22 = 27 |
The pattern observed is that the sum of the alphabetical positions of the original letter and its coded letter is always 27. This means each letter is replaced by the letter that is equidistant from the opposite end of the alphabet.
Now, we apply the same logic to the word 'MANAGER'. For each letter in 'MANAGER', we find the letter whose alphabetical position, when added to the original letter's position, sums up to 27.
| Original Letter | Position | Calculation (27 - Position) | Coded Letter (Position 27-Position) |
|---|---|---|---|
| M | 13 | $27 - 13 = 14$ | N (Position 14) |
| A | 1 | $27 - 1 = 26$ | Z (Position 26) |
| N | 14 | $27 - 14 = 13$ | M (Position 13) |
| A | 1 | $27 - 1 = 26$ | Z (Position 26) |
| G | 7 | $27 - 7 = 20$ | T (Position 20) |
| E | 5 | $27 - 5 = 22$ | V (Position 22) |
| R | 18 | $27 - 18 = 9$ | I (Position 9) |
By applying the rule consistently, the word 'MANAGER' is coded as 'NZMZTVI'.
Let's check the generated code 'NZMZTVI' against the given options:
The coded word for MANAGER based on the pattern derived from ACQUIRE and ZXJFRIV is NZMZTVI, which matches Option 4.
| Concept | Description | Example Rule |
|---|---|---|
| Letter Coding | Letters are replaced by other letters based on a specific rule. | Each letter shifts 3 places forward (A > D). |
| Alphabetical Position | Using the numerical position of letters (A=1, B=2...). | A=1, Z=26. |
| Opposite Letters | Letters equidistant from the start and end of the alphabet. Sum of positions is 27. | A and Z, B and Y, C and X, etc. |
Coding and decoding problems often involve different types of letter-based patterns. Understanding these can help solve problems quickly:
Practicing various types of letter coding problems helps in quickly identifying the underlying rule and applying it correctly.
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