In a certain coded language: "Indian cuisines are good" is coded as "MI CI FI…

Concept: in sentence-substitution coding, every word carries one fixed code in every sentence in which it appears. So the codes shared by two coded strings must belong, as a set, to the words shared by those two sentences. Intersecting several such pairs keeps shrinking the possibilities until a single word-code pairing is forced.

Applying this to the four given sentences:

1. Sentences 1 and 2 share the words "Indian" and "cuisines"; their strings share the codes MI and CI. So the set {Indian, cuisines} corresponds to the set {MI, CI}.

2. Sentences 2 and 3 share the words "like" and "Indian"; their strings share the codes LI and MI. So the set {like, Indian} corresponds to the set {LI, MI}.

3. "Indian" is the only word lying in both shared word sets, and MI is the only code lying in both shared code sets, which forces Indian = MI. Step 1 then leaves cuisines = CI, and step 2 leaves like = LI.

4. Sentences 3 and 4 share only the word "people", and their strings share only the code PI, so people = PI. Sentence 3 reads "People like Indian Chinese" = "PI LI MI HI"; with people = PI, like = LI and Indian = MI already fixed, the only pairing left is Chinese = HI.

5. Sentences 1 and 4 share only the word "are", and their strings share only the code FI, so are = FI. Sentence 1 reads "Indian cuisines are good" = "MI CI FI GI"; with Indian = MI, cuisines = CI and are = FI already fixed, the only pairing left is good = GI.

Cross-check - the full dictionary the four sentences fix:

Substituting back reproduces every given string: "Indian cuisines are good" gives MI CI FI GI, "They like Indian cuisines" gives AI LI MI CI once They = AI is read off sentence 2, and "People like Indian Chinese" gives PI LI MI HI. Only DI and BI stay unseparated: they stand for "and" and "best" in some order, which these four sentences never decide - and the question never asks about them.

Result: good = GI, Chinese = HI and cuisines = CI, so the three words asked for are coded GI, HI and CI in that order.