In a certain code language, ROSE is coded as 51 and WAX is coded as 33. How will FOX be coded in that language?

Let's find the logic using the positional values of the letters in the English alphabet (A=1,B=2,…,Z=26).
For ROSE:

R=18

O=15

S=19

E=5

Sum of positional values = 18+15+19+5=57
But given code is 51.
Let's check the relation: Sum−6=57−6=51.

For WAX:

W=23

A=1

X=24

Sum of positional values = 23+1+24=48
But given code is 33.
Here, Sum−15=48−15=33.
Since the subtracted number changes (6 and 15), let's look at another pattern: the sum of the positional values of opposite letters.

Alternative approach (Opposite letters):

For ROSE:

Opposite of R is I=9

Opposite of O is L=12

Opposite of S is H=8

Opposite of E is V=22

Sum of opposite positions = 9+12+8+22=51. (Matches precisely)

For WAX:

Opposite of W is D=4

Opposite of A is Z=26

Opposite of X is C=3

Sum of opposite positions = 4+26+3=33. (Matches precisely)

Applying the same logic for FOX:

Opposite of F is U=21

Opposite of O is L=12

Opposite of X is C=3

Sum of opposite positions = 21+12+3=36.