Question

If in a certain code, HORIZON is written as IPAJYPM, how is FUTURE written in that code?

• A. GVCVQF
• B. GVTWSF
• C. GVSXTF
• D. GVTXTF

Hint:

In coding-decoding, look for alphabet shifts—either constant or alternating—and apply them systematically.

Answer 1

The Correct Option is A

To decipher the encoding of "HORIZON" to "IPAJYPM", the pattern must be identified and then applied to "FUTURE".

1. Foundational Concepts:

- Alphabetical Indexing: Letters are assigned numerical values (A=1, B=2, ..., Z=26).
- Encoding Mechanism: Determine the transformation applied to each letter in "HORIZON" to yield "IPAJYPM".
- Pattern Application: Apply the established transformation to each letter of "FUTURE".

2. Provided Data:

Source String: HORIZON
Coded String: IPAJYPM

3. Pattern Determination:

Letter-by-letter comparison reveals the following shifts:

• H (8) → I (9): Shift +1
• O (15) → P (16): Shift +1
• R (18) → A (1): Shift -17 (with alphabet wrap-around)
• I (9) → J (10): Shift +1
• Z (26) → Y (25): Shift -1
• O (15) → P (16): Shift +1
• N (14) → M (13): Shift -1

The observed pattern of shifts is: +1, +1, -17, +1, -1, +1, -1.

4. Pattern Application to FUTURE:

Applying the pattern to "FUTURE":

• F (6) +1 → G (7)
• U (21) +1 → V (22)
• T (20) -17 → C (3)
• U (21) +1 → V (22)
• R (18) -1 → Q (17)
• E (5) +1 → F (6)

Conclusion:

The encoded form of "FUTURE" is GVCVQF.