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Question

# In a certain coding system,'816321' means 'the brown dog frightened the cat';'64851' means 'the frightened cat ran away';'7621' means 'the cat was brown';'341' means 'the dog ran'.What is the code for 'brown'?

A
2
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B
4
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C
6
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D
8
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Solution

## The correct option is D 2In the first statement, the code digit '1' as well as the word 'the' occurs twice. So, '1' is the code for 'the'.In the first and fourth statements, the common code digits are '1' and '3' and the common words are 'the' and 'dog'. Since, '1' stands for 'the', so '3' is the code for 'dog'.Thus in the fourth statement, '4' is the code for 'ran'.In the second and third statements, the common code digits are '1' and '6' and the common words are 'the' and 'cat'. Since '1' stands for 'the' , so '6' is the code for 'cat'.In the first and third statements, the common code digits are '1', '6' and '2' and the common words are 'the', 'brown' and 'cat'. Since '1' and '6' stands for 'the' and 'cat' respectively, so '2' is the code for 'brown'.Hence, option (A) is the correct answer.

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