Understanding the Code Language Pattern

This question asks us to decipher a specific code language based on given examples and then apply that code to a new word. We are given the codes for 'SALT' and 'PICKLE', and we need to find the code for 'PRESERVATIVE'.

Analyzing the Examples: SALT and PICKLE

Let's look closely at the examples provided:

• 'SALT' is coded as '16'.
• 'PICKLE' is coded as '36'.

We need to find a relationship between the word and its numerical code.

Investigating the Number of Letters

Let's count the number of letters in each word:

• The word 'SALT' has 4 letters. Its code is 16.
• The word 'PICKLE' has 6 letters. Its code is 36.

Now, let's see if there's a mathematical relationship between the number of letters and the code:

• For 'SALT': Number of letters = 4. Code = 16. We notice that $4^2 = 4 \times 4 = 16$.
• For 'PICKLE': Number of letters = 6. Code = 36. We notice that $6^2 = 6 \times 6 = 36$.

The pattern seems clear: the code is obtained by squaring the number of letters in the word.

Applying the Pattern to PRESERVATIVE

Now that we have identified the pattern (Code = (Number of Letters)$^2$), let's apply it to the word 'PRESERVATIVE'.

First, count the number of letters in 'PRESERVATIVE'.

P R E S E R V A T I V E

1 2 3 4 5 6 7 8 9 10 11 12

The word 'PRESERVATIVE' has 12 letters.

According to the pattern, the code for 'PRESERVATIVE' will be the square of the number of letters:

Code for PRESERVATIVE = $(\text{Number of letters in PRESERVATIVE})^2$

Code for PRESERVATIVE = $(12)^2$

Code for PRESERVATIVE = $12 \times 12$

Code for PRESERVATIVE = $144$

So, 'PRESERVATIVE' will be coded as 144 in this language.

Final Coded Value for PRESERVATIVE

Based on the established pattern where the code is the square of the number of letters, the word 'PRESERVATIVE', which has 12 letters, is coded as $12^2 = 144$.

Revision Table: Key Steps

Additional Information: Logic and Reasoning Puzzles

Coding language questions like this one are common in logical reasoning tests. They require you to identify a hidden rule or pattern based on given examples. The pattern can be based on various properties of the word, such as:

• Number of letters
• Position of letters in the alphabet
• Vowels or consonants count
• Performing mathematical operations on letter positions or counts
• Combination of different properties

Solving such puzzles involves careful observation, hypothesis testing, and verification using all provided examples before applying the rule to the new case. Practice with different types of coding questions helps improve your ability to quickly identify the underlying logic.