Question

If in a certain code BEAUTIFUL is coded as 573041208 and BUTTER is coded as 504479, how is FUTURE coded in that code?

• A. 201497
• B. 204097
• C. 704092
• D. 204079

Hint:

Map each letter to its digit using both coded words together.

Answer 1

The Correct Option is B

Instead of rebuilding the whole key first, we can test each option by checking whether its digits agree with the letters we can already confirm from BEAUTIFUL and BUTTER.

1. Option A (201497): This starts with 2, matching F, and the second digit 0 matches U, but the third digit here is 1, while T must be 4 based on BUTTER. This breaks the check.
2. Option B (204097): F=2, U=0, T=4, U=0, R=9, E=7. Every digit lines up with the letters already confirmed from BEAUTIFUL and BUTTER, so this option passes fully.
3. Option C (704092): This begins with 7, which is the code for E, not F, so the very first digit is already wrong for FUTURE.
4. Option D (204079): The first three digits 2, 0, 4 match F, U, T correctly, but the last two digits 7 and 9 put E before R, while FUTURE ends in R then E, so the order is swapped.

Option B is the only choice where every digit sits in the correct place for F-U-T-U-R-E.

Let's summarize:

• When a coding question gives two coded words, use both together to pin down every letter before decoding a new word.

So the answer is option B, 204097.