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In a certain code word ACEG is written as 16 and DFGH is written as 25 then how can be written HIKM

  • A.36
  • B.41
  • C.40
  • D.39

Answer: B

HIKM is written as 41.

The code is the sum of the alphabet positions of the letters:

\[ \begin{aligned} \text{ACEG} &= 1 + 3 + 5 + 7 = 16 \\ \text{DFGH} &= 4 + 6 + 7 + 8 = 25 \\ \text{HIKM} &= 8 + 9 + 11 + 13 = 41 \end{aligned} \]

36, 40 and 39 each come from miscounting one letter's position, for example taking K as 10 (40) or M as 11 (39).

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