In a certain code language, ‘FORCE’ is written as ‘83052’, ‘GAMES’ is written as ‘42761’, and ‘FORUM’ is written as ‘08957’. How is ‘C’ written in the same code language?

Given:
FORCE → 83052
GAMES → 42761
FORUM → 08957

Compare common letters:

FORCE and FORUM share F, O, R.

FORCE → 8 3 0 5 2
FORUM → 0 8 9 5 7

Common digits between these two codes: 8, 0, 5

So:
F, O, R correspond to 8, 0, 5 (in some order)

Now look at FORCE:
F O R C E → 8 3 0 5 2

Digits used: 8, 3, 0, 5, 2
We already know 8, 0, 5 belong to F, O, R
So remaining digits 3 and 2 must be for C and E

Now check GAMES → 42761
E is common in FORCE and GAMES

So E must match between:
FORCE → E = 2
GAMES → E = 1

Conflict → so E ≠ 2, hence E = 3 and C = 2

Therefore, C = 2

Correct answer: 2