Read the given information carefully and answer the related questions: In a certain code language
In a certain code language
‘Play the same game.’ is coded as ‘us ud ut uk’
‘Seen in the play.’ is coded as ‘uk ua ud um’
‘The jar is seen.’ is coded as ‘ud ua uh uw’
‘The same game played’ is coded as ‘ut ud ub us’
What will be the possible code for ‘game is played’?
Correct Answer :
us uh ub
Solution :
The correct option is us uh ub.
Let us analyze the given coded statements step-by-step to decode the words:
1. 'Play the same game.' is coded as 'us ud ut uk'
2. 'Seen in the play.' is coded as 'uk ua ud um'
3. 'The jar is seen.' is coded as 'ud ua uh uw'
4. 'The same game played' is coded as 'ut ud ub us'
Step 1: Find the code for 'the'
The word 'the' is common to all four statements.
Comparing all four statements, the code common to all four sets is 'ud'.
Therefore, 'the' = 'ud'.
Step 2: Find the code for 'play'
The word 'play' is common in statements 1 and 2.
Comparing the remaining codes in statements 1 and 2 ('us', 'ut', 'uk' vs 'uk', 'ua', 'um'), the common code is 'uk'.
Therefore, 'play' = 'uk'.
Step 3: Find the code for 'seen'
The word 'seen' is common in statements 2 and 3.
Comparing the remaining codes in statements 2 and 3 ('ua', 'um' vs 'ua', 'uh', 'uw'), the common code is 'ua'.
Therefore, 'seen' = 'ua'.
Step 4: Find the codes for 'same' and 'game'
From statements 1 and 4, the common words besides 'the' are 'same' and 'game'.
Comparing the remaining codes in statement 1 ('us', 'ut') and statement 4 ('ut', 'ub', 'us'), the codes for 'same' and 'game' are 'us' and 'ut' (in any order).
Step 5: Find the code for 'played'
In statement 4, the remaining word after removing 'the' ('ud'), 'same', and 'game' ('ut', 'us') is 'played'.
The remaining code in statement 4 is 'ub'.
Therefore, 'played' = 'ub'.
Step 6: Find the code for 'is'
In statement 3 ('The jar is seen.'), we know:
'the' = 'ud'
'seen' = 'ua'
The remaining words are 'jar' and 'is', with codes 'uh' and 'uw'. Thus, the code for 'is' can be 'uh' (or 'uw').
Step 7: Determine the possible code for 'game is played'
- 'game' = 'us' (or 'ut')
- 'is' = 'uh' (or 'uw')
- 'played' = 'ub'
Matching with the given options, the set containing these valid codes is 'us uh ub'.
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