Understanding the Coding Decoding Pattern

This question involves a coding-decoding pattern where words are represented by sequences of numbers. To solve this, we need to analyze the given examples, 'WATER' and 'BURNT', to find the rule that converts the letters into numbers.

Analyzing the Given Examples (WATER and BURNT)

First, let's find the alphabetical position of each letter in the given words:

• WATER: W=23, A=1, T=20, E=5, R=18
• BURNT: B=2, U=21, R=18, N=14, T=20

Now, let's look at the codes provided:

• WATER is coded as 18120523
• BURNT is coded as 202118142

Comparing the letter positions with the codes, we need to find a relationship. Let's examine the 'BURNT' example first as its code seems to relate more directly to the positions 2, 21, 18, 14, 20.

The code for BURNT is 202118142. Let's try splitting this code into potential segments corresponding to letter positions:

\(20 \quad 21 \quad 18 \quad 14 \quad 2\)

Now let's see which letters have these positions:

• 20 corresponds to T
• 21 corresponds to U
• 18 corresponds to R
• 14 corresponds to N
• 2 corresponds to B

The letters corresponding to these positions, in order, are T, U, R, N, B. This sequence of letters is the word 'BURNT' with its letters rearranged.

Let's see the order of letters in 'BURNT' (B U R N T) and the order found in the code (T U R N B).

Comparing the positions:

• T is the last letter of BURNT.
• U is the second letter of BURNT.
• R is the third letter of BURNT.
• N is the fourth letter of BURNT.
• B is the first letter of BURNT.

So, the order of letters whose positions are concatenated to form the code is: Last letter, Second letter, Third letter, Fourth letter, ..., First letter.

Let's test this pattern with the 'WATER' example (W A T E R):

The order of letters according to the pattern should be: Last, Second, Third, Fourth, First.

• Last letter: R (Position 18)
• Second letter: A (Position 1)
• Third letter: T (Position 20)
• Fourth letter: E (Position 5)
• First letter: W (Position 23)

Now, let's write their positions in this order:

\(18 \quad 1 \quad 20 \quad 5 \quad 23\)

Concatenating these numbers gives 18120523, which exactly matches the given code for 'WATER'.

The pattern is confirmed: The code is formed by concatenating the alphabetical positions of the letters of the word in the order: Last, Second, Third, ..., First. Single-digit positions (1-9) are represented by a single digit.

Applying the Pattern to STRAIN

Now, let's apply this pattern to the word 'STRAIN'.

First, find the alphabetical position of each letter in STRAIN:

• S = 19
• T = 20
• R = 18
• A = 1
• I = 9
• N = 14

The word 'STRAIN' has 6 letters. The order of letters for coding will be: Last, Second, Third, Fourth, Fifth, First.

Let's find the positions of the letters in this order:

• Last letter (6th): N (Position 14)
• Second letter (2nd): T (Position 20)
• Third letter (3rd): R (Position 18)
• Fourth letter (4th): A (Position 1)
• Fifth letter (5th): I (Position 9)
• First letter (1st): S (Position 19)

Now, let's write down their positions, using single digits for 1-9:

\(14 \quad 20 \quad 18 \quad 1 \quad 9 \quad 19\)

Concatenating these numbers, we get the code for STRAIN:

\(1420181919\)

Matching the Code with Options

The calculated code for 'STRAIN' is 1420181919. Let's compare this with the given options:

• Option 1: 1420181920
• Option 2: 1420181919
• Option 3: 1420181517
• Option 4: 1920181914

Our calculated code 1420181919 matches Option 2.

Final Answer Derivation

Based on the pattern identified from 'WATER' and 'BURNT', the code for 'STRAIN' is 1420181919.

Revision Table: Key Coding Pattern

Additional Information: Letter Position and Coding

Coding-decoding questions often use the alphabetical positions of letters as the basis for the code. Understanding these positions is fundamental to solving many such problems.

Different patterns can be applied using these positions, such as:

• Using the position directly (e.g., A=1, B=2).
• Using the reverse position (e.g., A=26, B=25).
• Adding or subtracting a fixed number from the position.
• Summing the positions of letters in a word.
• Rearranging the letters of the word in a specific order (like the pattern found here) before concatenating their positions.
• Coding based on vowels or consonants.

Practicing different types of coding problems helps in quickly identifying the underlying pattern during exams.