Question Details

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

Options

A

8

B

5

C

9

D

4

Show Answer

Correct Answer :

Option A

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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