Reasoning : Logical Reasoning & Analytical Ability

Q 51 / 325

UPSC CSE Prelims 2024

If in a certain code, ‘ABCD’ is written as 24 and ‘EFGH’ is written as 1680, then how is IJKL’ written in that code?

EXPLANATION

Correct Option

The coding pattern involves assigning a numerical value to each letter based on its sequential position in the English alphabet (A=1, B=2, C=3, and so forth). The code for a given set of letters is derived by multiplying these positional values.

  • For 'ABCD': The positional values are A=1, B=2, C=3, D=4. Their product is 1 × 2 × 3 × 4 = 24.
  • For 'EFGH': The positional values are E=5, F=6, G=7, H=8. Their product is 5 × 6 × 7 × 8 = 1680.
  • Applying this pattern to 'IJKL': The positional values are I=9, J=10, K=11, L=12. Their product is 9 × 10 × 11 × 12 = 11880.

Therefore, 'IJKL' is written as 11880.

Incorrect Options

Options 2 (11240), 3 (7920), and 4 (5940) do not conform to the established logical pattern of multiplying the positional values of the letters in the English alphabet.