In a certain code language, ‘FARM’ is coded as HDTP and ‘EGGS’ is coded as GJIV. How will ‘FOOD’ be coded in the same language?
HRQG
This question involves a common type of reasoning problem called letter coding. In these problems, words are coded based on a specific rule or pattern applied to the letters. We need to identify this pattern by looking at the given examples and then apply it to the word we need to code.
Let's look at the first example provided:
Let's examine the position of each letter in the English alphabet and compare the original word with its coded form:
| Letter | Position | Coded Letter | Position | Difference |
|---|---|---|---|---|
| F | 6 | H | 8 | \(8 - 6 = +2\) |
| A | 1 | D | 4 | \(4 - 1 = +3\) |
| R | 18 | T | 20 | \(20 - 18 = +2\) |
| M | 13 | P | 16 | \(16 - 13 = +3\) |
From this analysis, we can see a pattern: the letters are shifted by +2, +3, +2, +3 positions respectively.
Now, let's verify this pattern with the second example:
Let's apply the same analysis:
| Letter | Position | Coded Letter | Position | Difference |
|---|---|---|---|---|
| E | 5 | G | 7 | \(7 - 5 = +2\) |
| G | 7 | J | 10 | \(10 - 7 = +3\) |
| G | 7 | I | 9 | \(9 - 7 = +2\) |
| S | 19 | V | 22 | \(22 - 19 = +3\) |
The pattern +2, +3, +2, +3 is consistent in both examples.
Now we will apply the identified pattern (+2, +3, +2, +3) to the word 'FOOD' to find its code.
| Letter | Position | Pattern | Calculation | Coded Position | Coded Letter |
|---|---|---|---|---|---|
| F | 6 | +2 | \(6 + 2 = 8\) | 8 | H |
| O | 15 | +3 | \(15 + 3 = 18\) | 18 | R |
| O | 15 | +2 | \(15 + 2 = 17\) | 17 | Q |
| D | 4 | +3 | \(4 + 3 = 7\) | 7 | G |
Following the pattern, the letters of 'FOOD' are coded as H, R, Q, and G.
Therefore, 'FOOD' is coded as HRQG.
| Original Word | Coded Word | Pattern |
|---|---|---|
| FARM | HDTP | +2, +3, +2, +3 |
| EGGS | GJIV | +2, +3, +2, +3 |
| FOOD | HRQG | +2, +3, +2, +3 |
Letter coding is a part of the broader topic of coding-decoding in reasoning ability tests. Understanding different types of coding can help solve similar problems quickly.
Common types of coding include:
To excel in coding-decoding, it is helpful to memorize the position of each letter in the alphabet and practice identifying various patterns like shifting, reversing, or skipping letters.
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