​In a certain code language, ’HOTEL‘ is coded as ’DQPGH' and ‘BANKS' is coded as 'XCJMO'. How will 'LOGIC' be coded in that language?

Given: ’HOTEL‘ is coded as ’DQPGH' and ‘BANKS' is coded as 'XCJMO'.

Logic: first letter decreasing by 4, second letter increasing by 2, third letter decreasing by 4, fourth letter increasing by 2 and fifth letter decreasing by 4.

As,

H-4=D, O+2=Q, T-4=P, E+2=G, L-4=H

And

B-4=X, A+2=C, N-4=J, K+M=G, S-4=O

Similarly,

L-4=H, O+2=Q, G-4=C, I+2=K, C-4=Y

So, HQCKYis the missing letter-cluster.