Understanding the Code Language Logic

This question involves a code language where words are converted into numerical codes. We are given two examples of words and their corresponding codes: 'AMIT' is coded as 86, and 'VIJAY' is coded as 134. We need to find the code for 'GARIMA' using the same logic.

Analyzing the Given Examples

Let's examine the relationship between the letters in the words and the given numerical codes. A common approach in such problems is to assign numerical values to letters based on their position in the English alphabet (A=1, B=2, ..., Z=26).

Coding of 'AMIT'

• The letters in 'AMIT' are A, M, I, T.
• Their alphabetical positions are:
  • A = 1
  • M = 13
  • I = 9
  • T = 20
• Let's sum these positional values: $\text{Sum} = 1 + 13 + 9 + 20 = 43$.
• The given code for 'AMIT' is 86. We can see that $43 \times 2 = 86$.

Coding of 'VIJAY'

• The letters in 'VIJAY' are V, I, J, A, Y.
• Their alphabetical positions are:
  • V = 22
  • I = 9
  • J = 10
  • A = 1
  • Y = 25
• Let's sum these positional values: $\text{Sum} = 22 + 9 + 10 + 1 + 25 = 67$.
• The given code for 'VIJAY' is 134. We can see that $67 \times 2 = 134$.

Identifying the Pattern

From the two examples, it appears the coding rule is:
Code = (Sum of alphabetical positions of letters) $\times$ 2

Applying the Logic to 'GARIMA'

Now, let's apply this identified pattern to find the code for 'GARIMA'.

• The letters in 'GARIMA' are G, A, R, I, M, A.
• Their alphabetical positions are:
  • G = 7
  • A = 1
  • R = 18
  • I = 9
  • M = 13
  • A = 1
• Let's sum these positional values: $\text{Sum} = 7 + 1 + 18 + 9 + 13 + 1 = 49$.
• Now, apply the multiplication factor of 2: $\text{Code} = 49 \times 2 = 98$.

Conclusion

Following the established pattern, the code for 'GARIMA' is 98.

Let's check the given options:

• Option 1: 98
• Option 2: 49
• Option 3: 78
• Option 4: 67

Our calculated code, 98, matches Option 1.

Revision Table: Code Language Logic

Additional Information on Coding-Decoding

Coding-Decoding questions are common in reasoning and aptitude tests. They test your ability to decipher patterns and rules. Some common types of patterns include:

• Letter Coding: Letters are replaced by other letters based on a shift in alphabetical position (e.g., A coded as B, B as C, etc.).
• Number Coding: Words are coded into numbers. This can be based on alphabetical position (forward or backward), sum/product of positions, number of letters, vowel/consonant count, etc.
• Symbol Coding: Letters or words are replaced by symbols.
• Mixed Coding: Words are coded using both numbers and symbols, or a mix of different rules.

To solve these problems, always look for the underlying logic or pattern. Try simple methods first, like alphabetical positions, and then consider more complex combinations or operations.