In a code language, if PEN is written as 17717, then how will CAP be written in the same language?

The correct answer is 4319.

To decode the pattern, we start by analyzing the given example: PEN → 17717.

First, let's find the alphabetical positions of each letter in PEN:

P = 16th letter    E = 5th letter    N = 14th letter

Now observe how 17717 is formed by splitting it as 17 | 7 | 17:

P → 16 + 1 = 17
E → 5 + 2 = 7
N → 14 + 3 = 17

The pattern is: Each letter's alphabetical position is added to its position within the word (1st, 2nd, or 3rd), and the results are concatenated.

So:   Letter value = (Alphabetical position) + (Position in word)

Now we apply the same rule to CAP:

C = 3rd letter → 3 + 1 = 4
A = 1st letter → 1 + 2 = 3
P = 16th letter → 16 + 3 = 19

Concatenating the results: 4 | 3 | 19 = 4319

Therefore, CAP is written as 4319 in the given code language.