Question

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

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

Answer 1

The Correct Option is B

To decode the word "FUTURE" using the given coding pattern, we must first identify the logic behind the given examples: BEAUTIFUL = 573041208 and BUTTER = 504479. Let's break this down: 

1. Analyze the position of each letter in the alphabet (A=1, B=2, C=3, ..., Z=26):
   • B=2, E=5, A=1, U=21, T=20, I=9, F=6, U=21, L=12 from "BEAUTIFUL".
2. Note: The code for each letter involves a transformation. By examining "BEAUTIFUL = 573041208", we can deduce:

Letter	Position	Code
B	2	5
E	5	7
A	1	3
U	21	0
T	20	4
I	9	1
F	6	2
U	21	0
L	12	8

1. Decoding the code involves recognizing a +3 transformation for each number (e.g., the position of B is 5-3=2). Similarly, applying this to "BUTTER = 504479":
   • B=2 (5-3), U=21 (0+3 or 21 mod 9), T=20 (4-3), T=20 (4-3), E=5 (7-2), R=18 (9+0).

Now apply this same logic to "FUTURE":

Letter	Position	Code
F	6	6+3=9
U	21	21 mod 9 = 0
T	20	20-3=17, but transform implies keeping 4 as seen previously
U	21	0
R	18	18 mod 9 can transform as keeping 9
E	5	7

Therefore, FUTURE is coded as 204097.