In a certain code language, ‘my wish’ is written as ‘rt bt’, ‘my fault’ is written as ‘mt rt’, and ‘his fault’ is written as ‘mt kt’. How will ‘his wish’ be written in that language?
This problem is a classic example of coding and decoding based on common words between phrases. We are given three statements in a certain code language and their corresponding codes. Our goal is to figure out the code for each individual word and then combine them to find the code for 'his wish'.
Let's list the given coded statements:
We can compare the statements to find common words and their common codes. This process helps us isolate the code for each word.
Step 1: Compare 'my wish' and 'my fault'.
The common word in both phrases is 'my'. The common code in both code strings is 'rt'.
Therefore, the code for 'my' is 'rt'.
my $\rightarrow$ rt
Step 2: Compare 'my fault' and 'his fault'.
The common word in both phrases is 'fault'. The common code in both code strings is 'mt'.
Therefore, the code for 'fault' is 'mt'.
fault $\rightarrow$ mt
Step 3: Deduce the code for the remaining words.
Let's summarize the individual word codes we found:
| Word | Code |
|---|---|
| my | rt |
| fault | mt |
| wish | bt |
| his | kt |
We need to find the code for 'his wish'. We have already found the codes for 'his' and 'wish'.
Combining these codes, the code for 'his wish' is 'kt bt'. The order of the words in the code typically corresponds to the order of the words in the phrase, but sometimes it doesn't matter depending on the specific coding scheme. In this case, the most likely combination is 'kt bt'.
Therefore, 'his wish' will be written as 'kt bt' in that language.
By comparing the given coded phrases and identifying common elements, we systematically deduced the code for each individual word. Using these individual codes, we were able to determine the code for 'his wish'.
| Original Phrase | Coded Phrase | Deductions |
|---|---|---|
| my wish | rt bt | Comparing with 'my fault' (mt rt), common word is 'my', common code is 'rt'. So, 'my' $\rightarrow$ 'rt'. |
| my fault | mt rt | |
| his fault | mt kt | Comparing with 'my fault' (mt rt), common word is 'fault', common code is 'mt'. So, 'fault' $\rightarrow$ 'mt'. |
| my wish | rt bt | Knowing 'my' $\rightarrow$ 'rt', remaining 'wish' $\rightarrow$ 'bt'. |
| his fault | mt kt | Knowing 'fault' $\rightarrow$ 'mt', remaining 'his' $\rightarrow$ 'kt'. |
| his wish | kt bt | Combining 'his' $\rightarrow$ 'kt' and 'wish' $\rightarrow$ 'bt'. |
Coding-decoding questions are common in reasoning sections of competitive exams. They test your ability to understand patterns and rules in artificial languages. Here are some common types:
Practicing different types helps improve logical reasoning and problem-solving skills.
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