In a certain code language $#* means ‘Shirt is clean’, @ D# means ‘Clean and neat’ and @ ? means ‘neat boy’, then what is the code for ‘and’ in that language?
Question
In a certain code language $#* means ‘Shirt is clean’, @ D# means ‘Clean and neat’ and @ ? means ‘neat boy’, then what is the code for ‘and’ in that language?
Solution 1
To determine the code for ‘and’ in the given language, follow these steps:
-
Identify the given codes and their meanings:
- $#* means ‘Shirt is clean’
- @ D# means ‘Clean and neat’
- @ ? means ‘neat boy’
-
Find common words and their corresponding codes:
- The word ‘clean’ appears in both ‘Shirt is clean’ and ‘Clean and neat’. The common code between $#* and @ D# is #.
- The word ‘neat’ appears in both ‘Clean and neat’ and ‘neat boy’. The common code between @ D# and @ ? is @.
-
Determine the code for ‘and’:
- In the code @ D#, which means ‘Clean and neat’, we already know that @ corresponds to ‘neat’ and # corresponds to ‘clean’.
- Therefore, the remaining code D# must correspond to ‘and’.
Thus, the code for ‘and’ in that language is D#.
Solution 2
To determine the code for ‘and’ in the given language, follow these steps:
-
Identify the common word in the phrases and their corresponding codes:
- $#* means ‘Shirt is clean’
- @ D# means ‘Clean and neat’
- @ ? means ‘neat boy’
-
Notice that the word ‘clean’ appears in both the first and second phrases:
- $#* means ‘Shirt is clean’
- @ D# means ‘Clean and neat’
-
The common code between these two phrases is ‘#’. Therefore, ‘#’ corresponds to ‘clean’.
-
Now, look at the second and third phrases:
- @ D# means ‘Clean and neat’
- @ ? means ‘neat boy’
-
The common word here is ‘neat’, and the common code is ‘@’. Therefore, ‘@’ corresponds to ‘neat’.
-
Now, in the second phrase ‘@ D# means ‘Clean and neat’:
- We already know that ‘@’ means ‘neat’ and ‘#’ means ‘clean’.
- The remaining code ‘D#’ must correspond to the remaining word ‘and’.
Therefore, the code for ‘and’ in that language is ‘D#’.
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