The letters from A to Z are numbered from 1 to 26 respectively. If GHI = 1578 and DEF = 912, then what is ABC equal to?

Correct Option (4)

The pattern established in this question relates the numerical positions of the letters to the given value. The value is calculated by multiplying the sum of the numerical positions of the three letters by a constant factor (74) and then subtracting a constant value (198).

• For DEF:
  • Numerical positions: D=4, E=5, F=6
  • Sum of positions = 4 + 5 + 6 = 15
  • Applying the pattern: (15 × 74) - 198 = 1110 - 198 = 912. This matches the given value.
• For GHI:
  • Numerical positions: G=7, H=8, I=9
  • Sum of positions = 7 + 8 + 9 = 24
  • Applying the pattern: (24 × 74) - 198 = 1776 - 198 = 1578. This matches the given value.
• For ABC:
  • Numerical positions: A=1, B=2, C=3
  • Sum of positions = 1 + 2 + 3 = 6
  • Applying the pattern: (6 × 74) - 198 = 444 - 198 = 246.

Therefore, ABC is equal to 246.

Incorrect Options:

Options 1 (492), 2 (468), and 3 (262) are incorrect as they do not adhere to the consistent logical pattern derived from the given examples (DEF = 912 and GHI = 1578). Any alternative calculation method would fail to produce the correct values for both DEF and GHI simultaneously, indicating an inconsistent or incorrect logical deduction.