Question:

Fill in the blank: HEC, JGE, LIG, NKI, \(\underline{\hspace{0cm}}\)

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For letter series problems, convert the letters to their numerical positions in the alphabet (A=1, B=2, etc.). Then, look for arithmetic or geometric patterns in the sequences of the first, second, and third letters of each group.
Updated On: Oct 18, 2025
  • ONM
  • PMK
  • HGF
  • KMP
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The Correct Option is B

Solution and Explanation

Let's analyze the pattern in the three-letter groups by looking at the position of each letter in the alphabet. \[\begin{array}{rl} \bullet & \text{First Letter: H(8), J(10), L(12), N(14). This is an arithmetic progression with a common difference of +2. The next letter should be 14 + 2 = 16, which is P.} \\ \bullet & \text{Second Letter: E(5), G(7), I(9), K(11). This is also an arithmetic progression with a common difference of +2. The next letter should be 11 + 2 = 13, which is M.} \\ \bullet & \text{Third Letter: C(3), E(5), G(7), I(9). This is also an arithmetic progression with a common difference of +2. The next letter should be 9 + 2 = 11, which is K.} \\ \end{array}\] Combining the next letters gives us PMK.
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