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Question

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?

The correct answer is

49

Understanding the Code Language Pattern

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.

Analyzing the Given Examples

Let's count the letters in each word:

  • The word CHAIR has 5 letters (C, H, A, I, R).
  • The word BOTTLE has 6 letters (B, O, T, T, L, E).

Now let's compare the number of letters to the given codes:

  • CHAIR has 5 letters, and its code is 25. Notice that $5 \times 5 = 5^2 = 25$.
  • BOTTLE has 6 letters, and its code is 36. Notice that $6 \times 6 = 6^2 = 36$.

It appears that the code for a word is simply the square of the number of letters in that word.

Applying the Pattern to CAUTION

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:

  • CAUTION has 7 letters (C, A, U, T, I, O, N).

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 $7^2$.

Calculating the Code for CAUTION

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 $7^2 = 49$

Final Answer for the Code Language

Based on the established pattern where the code is the square of the number of letters, the code for CAUTION is 49.

Revision Table: Code Language Analysis

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.

Additional Information on Coding and Decoding Patterns

Coding and decoding questions often appear in logical reasoning sections of exams. The patterns can vary widely. Some common types of patterns include:

  • Letter Shifting: Each letter is shifted a certain number of places forward or backward in the alphabet.
  • Direct Letter Coding: Each letter in a word is assigned a specific code (another letter, a number, or a symbol).
  • Position-Based Coding: The code depends on the alphabetical position of the letters (e.g., A=1, B=2).
  • Word Swapping: Words within a sentence are rearranged according to a rule.
  • Mathematical Operations: The code involves calculations based on letter positions or counts, as seen in this problem (squaring the letter count).

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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Important Questions from Coding Decoding Based on Numbers

  1. In a certain code language, ‘CROW’ is coded as ‘64’ and ‘EAGLE’ is coded as ‘125’. How will ‘PARROT’ be coded in that language?

  2. In a certain code language, ‘AROUND’ is coded as ‘52182412144’ and ‘FIX’ is coded as ‘63624’. How will ‘PLASTIC’ be coded in that language?

  3. If POSTER is coded as 592314 and DARK is coded as 8647, then how will STROKE be coded as?

  4. In a certain code language, ‘POUND’ is coded as ‘106’ and ‘CLEAN’ is coded as ‘41’. How will ‘MAKER’ be coded as in that language?

  5. In a certain code language, 'CURD' is written as '342184' and 'BREAD' is written as '2181024'. How will 'BUTTER' be written in that language?

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