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Answer: (B) bi
Explanation
By comparing the sentences and their respective codes, we can determine the code for each word in the fourth sentence, which is sister studies English and Chemistry, coded as bi ki pi di fi.
The word studies is common to sentences 1, 3, and 4. The only common code among these three sentences is pi, meaning studies is coded as pi.
The word Chemistry is common to sentences 3 and 4. Excluding the code for studies, the common code between them is di, meaning Chemistry is coded as di.
The word English is common to sentences 1 and 4. Excluding the code for studies, the common code between them is fi, meaning English is coded as fi.
The word sister is common to sentences 2 and 4. The common code between them is ki, meaning sister is coded as ki.
By eliminating the codes for sister (ki), studies (pi), English (fi), and Chemistry (di) from the fourth sentence, the remaining word and corresponds to the remaining code bi.