In a code language, if ‘I like chocolates’ is written as ‘958’, ‘we bought chocolates’ is written as ‘153’ and ‘we like them’ is written as ‘816’, then how would ‘I bought them’ be written in this language?
Correct Answer :
936
Solution :
The correct option is 936.
To find the code for the phrase ‘I bought them’, let us decode the code language step-by-step by comparing the given statements and their numerical representations:
First, we write down the given coded statements:
1. ‘I like chocolates’ is written as ‘958’
2. ‘we bought chocolates’ is written as ‘153’
3. ‘we like them’ is written as ‘816’
Next, we find the code for each individual word by looking for common words and digits:
- Compare Statement 1 (‘I like chocolates’ → ‘958’) and Statement 2 (‘we bought chocolates’ → ‘153’).
The common word in both statements is ‘chocolates’, and the common digit in their codes is ‘5’.
Therefore, the code for ‘chocolates’ is ‘5’.
- Compare Statement 1 (‘I like chocolates’ → ‘958’) and Statement 3 (‘we like them’ → ‘816’).
The common word is ‘like’, and the common digit is ‘8’.
Therefore, the code for ‘like’ is ‘8���.
- Now, looking back at Statement 1 (‘I like chocolates’ → ‘958’):
We know the codes for ‘like’ (‘8’) and ‘chocolates’ (‘5’).
The remaining word is ‘I’, and the remaining digit is ‘9’.
Therefore, the code for ‘I’ is ‘9’.
- Compare Statement 2 (‘we bought chocolates’ → ‘153’) and Statement 3 (‘we like them’ → ‘816’).
The common word is ‘we’, and the common digit is ‘1’.
Therefore, the code for ‘we’ is ‘1’.
- Now, looking at Statement 2 (‘we bought chocolates’ → ‘153’):
We know the codes for ‘we’ (‘1’) and ‘chocolates’ (‘5’).
The remaining word is ‘bought’, and the remaining digit is ‘3’.
Therefore, the code for ‘bought’ is ‘3’.
- Now, looking at Statement 3 (‘we like them’ → ‘816’):
We know the codes for ‘we’ (‘1’) and ‘like’ (‘8’).
The remaining word is ‘them’, and the remaining digit is ‘6’.
Therefore, the code for ‘them’ is ‘6’.
Finally, we combine the codes for the words in ‘I bought them’:
- ‘I’ is coded as ‘9’
- ‘bought’ is coded as ‘3’
- ‘them’ is coded as ‘6’
Thus, the code for ‘I bought them’ is ‘936’.
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