In a code language. If CHAIR is written as 25 and BOTTLE is written as 36, then how will CAUTION be written in the same language?
49
This question asks us to decode a specific code language. We are given two examples: CHAIR is coded as 25, and BOTTLE is coded as 36. We need to find the code for CAUTION using the same logic.
Let's look closely at the relationship between the words and the numbers they are coded into. The numbers 25 and 36 are perfect squares ($5^2$ and $6^2$). This suggests that the code might be related to the number of letters in the word.
Let's count the letters in each word:
Now let's compare the number of letters to the given codes:
It appears that the code for a word is simply the square of the number of letters in that word.
Following the pattern we identified from CHAIR and BOTTLE, we need to find the number of letters in the word CAUTION.
Let's count the letters in CAUTION:
According to the rule, the code for CAUTION should be the square of the number of letters it has. Since CAUTION has 7 letters, its code will be $7^2$.
The code for CAUTION is calculated as follows:
Number of letters in CAUTION = 7
Code = (Number of letters)$^2$
Code for CAUTION = $7^2 = 7 \times 7 = 49$
Therefore, in this code language, CAUTION will be written as 49.
| Word | Number of Letters | Code (Square of Letters) |
|---|---|---|
| CHAIR | 5 | $5^2 = 25$ |
| BOTTLE | 6 | $6^2 = 36$ |
| CAUTION | 7 | $7^2 = 49$ |
Based on the established pattern where the code is the square of the number of letters, the code for CAUTION is 49.
| Concept | Explanation |
|---|---|
| Code Language | A system where words or messages are converted into symbols, numbers, or different words based on a specific rule or pattern. |
| Pattern Recognition | Identifying the underlying rule or logic connecting the given examples (CHAIR $\rightarrow$ 25, BOTTLE $\rightarrow$ 36). |
| Numerical Coding | Assigning numerical values based on word properties, like letter count, alphabetical position, etc. |
Coding and decoding questions often appear in logical reasoning sections of exams. The patterns can vary widely. Some common types of patterns include:
Solving these questions requires careful observation of the given examples to identify the consistent rule before applying it to the target word.
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