In a certain code language,
'wood makes chair' is coded as '379',
'wood makes table' is coded as '389',
'table and chair' is coded as '872'.
Determine which numerical digit corresponds to the word 'and' in this language.
Show answer & explanation
Correct answer: A
Explanation
Compare the given coded statements to find the code for each word:
• 'wood makes chair' = '379' ... (1)
• 'wood makes table' = '389' ... (2)
• 'table and chair' = '872' ... (3)
Step-by-step deduction:
• Comparing (1) and (2), the common words are 'wood makes' and the common digits are '3' and '9'.
• From (1), the remaining word 'chair' corresponds to the digit '7'.
• From (2), the remaining word 'table' corresponds to the digit '8'.
• In (3), 'table' is 8 and 'chair' is 7, so the remaining word 'and' must be coded as '2'.
Hence, the correct option is (A).