Understanding Coding Decoding Logic

This question involves a coding-decoding pattern where words are converted into numerical codes. We need to analyze the given examples to find the rule and then apply it to the word 'VARUN'. The examples are 'RAJ' coded as '87' and 'GITA' coded as '148'.

Analyzing the Coding Pattern for RAJ

Let's look at the letter positions in the English alphabet:

• A=1, B=2, C=3, ..., Z=26

For the word 'RAJ', the letters and their positions are:

• R is the 18th letter.
• A is the 1st letter.
• J is the 10th letter.

Let's calculate the sum of these positions:

\(\text{Sum} = 18 + 1 + 10 = 29\)

The code given for 'RAJ' is 87. How can we get 87 from 29? Let's consider the number of letters in 'RAJ', which is 3. If we multiply the sum by the number of letters:

\(\text{Code} = \text{Sum} \times \text{Number of Letters} = 29 \times 3 = 87\)

This matches the given code for 'RAJ'.

Verifying the Coding Pattern with GITA

Now let's apply the same logic to the word 'GITA' and see if it matches the code '148'.

For the word 'GITA', the letters and their positions are:

• G is the 7th letter.
• I is the 9th letter.
• T is the 20th letter.
• A is the 1st letter.

Let's calculate the sum of these positions:

\(\text{Sum} = 7 + 9 + 20 + 1 = 37\)

The word 'GITA' has 4 letters. Applying the pattern (Sum \(\times\) Number of Letters):

\(\text{Code} = \text{Sum} \times \text{Number of Letters} = 37 \times 4 = 148\)

This also matches the given code for 'GITA'. The pattern seems consistent: the numerical code is obtained by summing the alphabetical positions of the letters in the word and then multiplying the sum by the total number of letters in the word.

Applying the Coding Logic to VARUN

Now, we will use this established pattern to find the code for the word 'VARUN'.

For the word 'VARUN', the letters and their positions are:

• V is the 22nd letter.
• A is the 1st letter.
• R is the 18th letter.
• U is the 21st letter.
• N is the 14th letter.

Let's calculate the sum of these positions:

\(\text{Sum} = 22 + 1 + 18 + 21 + 14 = 76\)

The word 'VARUN' has 5 letters. Applying the pattern (Sum \(\times\) Number of Letters):

\(\text{Code} = \text{Sum} \times \text{Number of Letters} = 76 \times 5 = 380\)

Therefore, the code for 'VARUN' is 380.

Coding Decoding Revision Table

Additional Information on Coding Decoding

Coding-decoding questions test your ability to identify a pattern or rule between a set of given words/letters/numbers and their codes. Common patterns include:

• Using alphabetical positions (forward or reverse).
• Adding or subtracting a constant value to positions.
• Multiplying or dividing positional values.
• Rearranging letters.
• Using opposite letters (A is opposite to Z, B to Y, etc.).
• Combining multiple rules.

Practicing different types of coding-decoding problems helps in quickly identifying the logic used in competitive exams.