Question

In a certain code language, ‘OWNS’ is coded as ‘4957’ and ‘NEWS’ is coded as ‘9247’. What is the code for ‘E’ in that language?

• A. 2
• B. 4
• C. 7
• D. 9

Answer 1

Answer:

A. 2

The code for ‘E’ in that language is 2.

We can find the code by comparing the two words and finding the common letters and numbers:

1. Write down the given codes:

   • O W N S = 4 9 5 7

   • N E W S = 9 2 4 7

2. Identify the common letters and digits:

   • Both words contain the letters N, W, and S.

   • Looking at their codes, the common digits are 4, 9, and 7.

   • This means the group of letters {N, W, S} corresponds to the group of digits {4, 9, 7}.

3. Find the remaining letter:

   • In the word N E W S, the only unique letter left is E.

   • In its code 9 2 4 7, the only remaining digit not shared with the first word is 2.

Therefore, the letter E must be coded as 2.