Correct Answer: HYERQPA

Solution : Given:
The code for CERTAIN is ECTRCGP and the code for DIGITAL is FGIGVYN.

Add and subtract 2 alternatively from the place values of each letter of CERTAIN, to get the code –
C + 2 = E; E – 2 = C; R + 2 = T; T – 2 = R; A + 2 = C; I – 2 = G; N + 2 = P
Thus, CERTAIN is coded as ECTRCGP.
And in, DIGITAL is coded as FGIGVYN –
D + 2 = F; I – 2 = G; G + 2 = I; I – 2 = G; T + 2 = V; A – 2 = Y; L + 2 = N
Thus, DIGITAL is coded as FGIGVYN.
Similarly, follow the same pattern for FACTORY→
F + 2 = H; A – 2 = Y; C + 2 = E; T – 2 = R; O + 2 = Q; R – 2 = P; Y + 2 = A→HYERQPA

Thus, FACTORY is coded as HYERQPA. Hence, the first option is correct.