Correct Answer: 16231612

Solution : Given:
BOSS is coded as 21967, and DEAL is coded as 19192414. How will GAIN be coded in that language?

Subtract the consecutive natural numbers, in decreasing order (starting from 4) from the place values of the opposite letter pairs of the letters of the given words to get their required codes.
Opposite letter pairs of BOSS; B→Y(25); O→L(12); S→H(8); S→H(8)
Y – 4 = 21; L – 3 = 9; H – 2 = 6; H – 1 = 7
So, BOSS is coded as 21967.
Now, opposite letter pairs of DEAL; D→W(23); E→V(22); A→Z(26); L→O(12)
W – 4 = 19; V – 3 = 19; Z – 2 = 24; O – 1 = 14
So, DEAL is coded as 19192414.
Similarly, follow the same pattern for GAIN –
Opposite letter pairs of GAIN; G→T(20); A→Z(26); I→R(18); N→M(13)
T – 4 = 16; 26 – 3 = 23; R – 2 = 16; M – 1 = 12

So, GAIN is coded as 16231612. Hence, the third option is correct.