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In a certain code language, ‘fan light door’ is coded as ‘dy ph mt’, ‘door window mat’ is coded as ‘lp ph st’, ‘mat fan glass’ is coded as ‘st bq dy’. What is the code for 'fan' in that language? (Note: All the codes are two-letter coded only.)
mt
bq
ph
dy
dy
Identify common words across code statements. The code that appears only in the statement containing 'fan' and not in others is the target code.
Identify common words across code statements. The code that appears only in the statement containing 'fan' and not in others is the target code.
Analyze the given statements
Compare the codes and words. 1: {fan, light, door} = {dy, ph, mt}; 2: {door, window, mat} = {lp, ph, st}; 3: {mat, fan, glass} = {st, bq, dy}.
Isolate common words and codes
Door is common to 1 and 2, and 'ph' is the common code. Thus, door = ph. Mat is common to 2 and 3, and 'st' is common. Thus, mat = st.
Deduce 'fan'
Fan is present in statement 1 and 3. Comparing the remaining codes for these lines, 'dy' is common to both statement 1 and statement 3. Therefore, fan = dy.
A: 'mt' is the code for 'light' (only in statement 1), B: 'bq' is the code for 'glass' (only in statement 3), C: 'ph' is the code for 'door'.
D is correct because 'fan' appears in the first and third sentences, and 'dy' is the only code shared between these two specific sentences.
In coding-decoding questions, always look for the word that appears in the maximum number of sentences first to eliminate options quickly.
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