In a code language, if WORLD is written as 72 and WRITE is written as 75, then how will GIRLS be written in the same language?
65
This question is a classic example of a coding-decoding puzzle often found in reasoning sections of various exams. In such puzzles, words are coded into numbers or other words based on a specific rule or pattern. Our task is to identify this rule and apply it to a new word.
We are given two examples of words coded into numbers:
Let's try to relate the letters of the words to their corresponding numerical values in the English alphabet. The position of each letter is as follows:
| Letter | Position |
|---|---|
| A | 1 |
| B | 2 |
| ... | ... |
| Z | 26 |
Let's find the position values for the letters in WORLD:
Let's sum these position values:
\( 23 + 15 + 18 + 12 + 4 = 72 \)
This sum matches the given code for WORLD.
Now, let's do the same for WRITE:
Let's sum these position values:
\( 23 + 18 + 9 + 20 + 5 = 75 \)
This sum also matches the given code for WRITE.
The pattern is clear: the code for a word is the sum of the alphabetical position values of its letters.
Now we will apply this rule to find the code for GIRLS. First, find the position value for each letter in GIRLS:
Next, sum these position values:
\( 7 + 9 + 18 + 12 + 19 \)
Calculation:
\( 7 + 9 = 16 \)
\( 16 + 18 = 34 \)
\( 34 + 12 = 46 \)
\( 46 + 19 = 65 \)
So, GIRLS is coded as 65.
Based on the pattern identified, where the code is the sum of the alphabetical positions of the letters, the word GIRLS is coded as 65.
| Word | Letter Positions | Sum of Positions | Given Code | Match? |
|---|---|---|---|---|
| WORLD | 23, 15, 18, 12, 4 | 72 | 72 | Yes |
| WRITE | 23, 18, 9, 20, 5 | 75 | 75 | Yes |
| GIRLS | 7, 9, 18, 12, 19 | 65 | ? | Calculated |
Coding-decoding problems can involve various patterns. Some common types include:
Solving these problems requires careful observation, testing potential rules, and applying logical deduction. Practicing with different types of problems helps in quickly identifying the underlying pattern.
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