In a certain code language, 'ENTER' is coded as 'FOTGT' and 'DICEY' is coded as 'EJCGA'. What is the code for 'CHILD' in the given code language?

Logic: The 1st and 2nd letters are shifted by +1, third no change and 4th and 5th +2.

'ENTER' → 'FOTGT'
E → F (Shifted forward by 1)
N → O (Shifted forward by 1)
T → T (No change)
E → G (Shifted forward by 2)
R → T (Shifted forward by 2)
'DICEY' → 'EJCGA'
D → E (Shifted forward by 1)
I → J (Shifted forward by 1)
C → C (No change)
E → G (Shifted forward by 2)
Y → A (Shifted forward by 2)
Now, let's apply this pattern to 'CHILD':
C → D (Shifted forward by 1)
H → I (Shifted forward by 1)
I → I (No change)
L → M (Shifted forward by 2)
D → F (Shifted forward by 2)
Thus, the code for 'CHILD' is 'DHIMF', which corresponds to option A.
So, the correct answer is (a) DHIMF.