In a code language, 'MAINTY' is coded as 'SGOTZE' and 'GENIOUS' is coded as 'MKTOUAY'. How will 'POPULAR' be coded in the same language?

Let's analyze the pattern by looking at the vowels and consonants or position shifts.
Let's check 'MAINTY' → 'SGOTZE':
Total letters = 6.
Let's see if there is an ordering or vowel-consonant mapping:
Vowels in MAINTY are A, I. In SGOTZE, vowels are O, E.
Let's look at the positional values:
M(13) A(1) I(9) N(14) T(20) Y(25)
S(19) G(7) O(15) T(20) Z(26) E(5)

Let's test if the letters are sorted or cross-multiplied.
Let's look at the second word: 'GENIOUS' → 'MKTOUAY'
Vowels in GENIOUS: E, I, O, U. In MKTOUAY: O, U, A, Y.

Let's test cross-coding or shifts:
What if the consonants and vowels follow a specific shift?
Let's check the options for 'POPULAR':
Options have length 7. Notice that options start with either K or V.
If P becomes K (opposite letter) or V (16+6=22).

Let's check if there is a mapping based on alphabetical order:
In MAINTY, sorting alphabetically gives: A, I, M, N, T, Y.
In GENIOUS, sorting alphabetically gives: E, G, I, N, O, U, S.
Let's look at POPULAR sorted alphabetically: A, L, O, P, P, U, R.

Let's check another pattern:
M → S (+6)
A → G (+6)
I → O (+6)
N → T (+6)
T → Z (+6)
Y → E (+6) (since 25+6=31≡5)

Wow! The pattern is simply +6 for every letter!
Let's double check with 'GENIOUS' → 'MKTOUAY':

G(7) + 6 = 13 → M

E(5) + 6 = 11 → K

N(14) + 6 = 20 → T

I(9) + 6 = 15 → O

O(15) + 6 = 21 → U

U(21) + 6 = 27 → A

S(19) + 6 = 25 → Y
This is an exact match!

Now let's apply the +6 shift to POPULAR:

P(16) + 6 = 22 → V

O(15) + 6 = 21 → U

P(16) + 6 = 22 → V

U(21) + 6 = 27 → A

L(12) + 6 = 18 → R

A(1) + 6 = 7 → G

R(18) + 6 = 24 → X

Thus, the code is VUVARGX.