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In a certain code, if '481' means 'sky is blue', '246' means 'blue sea is deep', and '698' means 'sea looks blue', which digit represents 'deep'?
2
4
6
9
2
Identify common words between sentences and match them with common digits, then isolate the unique digit for the remaining word.
Identify common words between sentences and match them with common digits, then isolate the unique digit for the remaining word.
Analyze common words and codes
Given: (1) 481 = sky is blue, (2) 246 = blue sea is deep, (3) 698 = sea looks blue. Compare (1) and (2): 'is' and 'blue' are common. Digits 4 and 8 are common to both sentences. Thus, 'is' and 'blue' correspond to 4 and 8.
Isolate the unique digit
Compare (2) 246 and (3) 698: 'sea' and 'blue' are common. Digits 6 and 8 are common. Since 'blue' is in all three, 'blue' must be 8. Therefore, in (2) 246, 'sea' corresponds to 6. This leaves 'deep' with the only remaining digit 2.
B: 4 represents 'is' or 'blue', not 'deep'. C: 6 represents 'sea', not 'deep'. D: 9 represents 'looks', not 'deep'.
A is correct because 'blue' is 8 (common in all 3), 'sea' is 6 (common in 2 and 3), and 'is' is 4 (common in 1 and 2), leaving 2 uniquely for 'deep'.
Always identify the word present in the maximum number of sentences first to simplify the reduction process rapidly.
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