Understanding the Coding Pattern

The question provides a coded example: VIJAYA is coded as VJLDCF. We need to find the coding rule applied here and then use it to code the word DEEPALI.

Analyzing the Transformation of VIJAYA to VJLDCF

Let's examine how each letter in VIJAYA changes to become the corresponding letter in VJLDCF. We will look at the position shift for each letter in the alphabet.

The pattern observed is that the shift applied to each consecutive letter increases by one, starting from \({+0}\) for the first letter.

Applying the Coding Rule to DEEPALI

Now we apply the same sequential shift rule (\({+0, +1, +2, +3, +4, +5, +6}\)) to the letters of DEEPALI.

• D: Apply \({+0}\) shift. D \(\to\) D.
• E: Apply \({+1}\) shift. E \(\to\) F.
• E: Apply \({+2}\) shift. E \(\to\) G.
• P: Apply \({+3}\) shift. P \(\to\) S.
• A: Apply \({+4}\) shift. A \(\to\) E.
• L: Apply \({+5}\) shift. L \(\to\) Q.
• I: Apply \({+6}\) shift. I \(\to\) O.

Combining the results, the coded word for DEEPALI is DFGSEQO.

Comparing with Options

Let's check the given options:

1. DFGSEQO
2. DFGSEPO
3. DFGSFQO
4. DFGTEQO

Our derived coded word, DFGSEQO, matches option 1.

Conclusion

By identifying the sequential letter shift pattern in the given example VIJAYA \(\to\) VJLDCF, we could apply the same pattern to DEEPALI to find its coded form, which is DFGSEQO.