In a certain code language, ‘we can follow’ is coded as ‘218’, ‘follow the rules’ is coded as ‘589’, and ‘check the list’ is coded as ‘475’. What is the code for the word ‘rules’ in that language?
- A9
- B8
- C5
- D4
Solution & Step-by-step Explanation
Let's find the common words and their corresponding numerical codes:
‘we can follow’ = ‘218’
‘follow the rules’ = ‘589’
‘check the list’ = ‘475’
Comparing statements (1) and (2):
The common word is ‘follow’.
The common digit between ‘218’ and ‘589’ is ‘8’.
Therefore, ‘follow’ = 8.
Comparing statements (2) and (3):
The common word is ‘the’.
The common digit between ‘589’ and ‘475’ is ‘5’.
Therefore, ‘the’ = 5.
Now, in statement (2), we have ‘follow the rules’ coded as ‘589’.
Since ‘follow’ = 8 and ‘the’ = 5, the remaining word ‘rules’ must be coded as the remaining digit, which is 9.
‘we can follow’ = ‘218’
‘follow the rules’ = ‘589’
‘check the list’ = ‘475’
Comparing statements (1) and (2):
The common word is ‘follow’.
The common digit between ‘218’ and ‘589’ is ‘8’.
Therefore, ‘follow’ = 8.
Comparing statements (2) and (3):
The common word is ‘the’.
The common digit between ‘589’ and ‘475’ is ‘5’.
Therefore, ‘the’ = 5.
Now, in statement (2), we have ‘follow the rules’ coded as ‘589’.
Since ‘follow’ = 8 and ‘the’ = 5, the remaining word ‘rules’ must be coded as the remaining digit, which is 9.