Decoding the Word Code: ALARMING to FLOATER

This question asks us to find the coded value for the word FLOATER based on the coding pattern observed for the word ALARMING, which is coded as 150.

Analyzing the Code for ALARMING

Let's first determine the pattern used to code ALARMING as 150. A common method in such coding-decoding questions is to use the alphabetical position of each letter. We assign a numerical value to each letter based on its position in the English alphabet (A=1, B=2, C=3, ..., Z=26).

Let's find the position values for the letters in ALARMING:

• A: 1
• L: 12
• A: 1
• R: 18
• M: 13
• I: 9
• N: 14
• G: 7

Now, let's sum these position values:

\(\text{Sum} = 1 + 12 + 1 + 18 + 13 + 9 + 14 + 7\)

\(\text{Sum} = 75\)

The given code for ALARMING is 150. We notice that the sum of the letter positions (75) multiplied by 2 equals 150 (\(75 \times 2 = 150\)). This suggests the coding rule is: Sum of the alphabetical positions of the letters \(\times\) 2.

Applying the Code to FLOATER

Now, let's apply the same rule to find the code for the word FLOATER.

First, find the alphabetical position values for the letters in FLOATER:

• F: 6
• L: 12
• O: 15
• A: 1
• T: 20
• E: 5
• R: 18

Next, sum these position values:

\(\text{Sum} = 6 + 12 + 15 + 1 + 20 + 5 + 18\)

\(\text{Sum} = 77\)

Finally, apply the coding rule: multiply the sum by 2:

\(\text{Code} = \text{Sum} \times 2\)

\(\text{Code} = 77 \times 2\)

\(\text{Code} = 154\)

Thus, the code for FLOATER in this language is 154.

Let's check this result against the given options:

• 124
• 156
• 141
• 154

Our calculated code, 154, matches one of the options.

Revision Table: English Alphabet Positions

Additional Information: Types of Letter Coding

Coding-decoding questions involving letters often use various patterns, such as:

• Position-based coding: Using the numerical position of letters (A=1, Z=26). Operations can include summing positions, multiplying, adding/subtracting constants, etc.
• Reverse position coding: Assigning positions from the end (A=26, Z=1).
• Letter shifting: Shifting each letter a fixed number of positions forward or backward in the alphabet (e.g., A becomes C, B becomes D, etc.).
• Opposite letters: Coding a letter with its opposite letter (A is opposite Z, B is opposite Y, etc.).
• Vowel/Consonant patterns: Different rules for vowels and consonants.

Identifying the correct pattern requires carefully analyzing the given example (ALARMING = 150 in this case) and testing different possibilities.