In a certain code language, ‘OVAL’ is coded as ‘5294’ and ‘LOVE’ is coded as ‘8549’. What is the code for ‘E’ in the given code language?1632
Correct Answer :
8
Solution :
The correct answer is Option 1 (8).
To find the code for the letter ‘E’, let us analyze the letters and digits present in both given coded words:
1. Word ‘OVAL’ is coded as ‘5294’.
2. Word ‘LOVE’ is coded as ‘8549’.
Let us identify the common letters between ‘OVAL’ and ‘LOVE’:
The common letters in both words are ‘O’, ‘V’, and ‘L’.
Now, let us identify the common digits between the codes ‘5294’ and ‘8549’:
The common digits present in both code sets are 5, 9, and 4.
Since the letters {O, V, L} correspond to the digits {5, 9, 4} in some order, we can determine the remaining unique letter and digit in the word ‘LOVE’:
In the word ‘LOVE’:
- The letters present are {L, O, V, E}.
- The digits present in its code are {8, 5, 4, 9}.
Since {L, O, V} correspond to {5, 9, 4}, the remaining letter ‘E’ must correspond to the remaining digit, which is 8.
Therefore, the code for the letter ‘E’ is 8.
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