Select the letter from among the given options that can replace the…

2022

Select the letter from among the given options that can replace the question-mark (?) in the following series.

P, N, J, H, ?

  1. A.

    D

  2. B.

    B

  3. C.

    E

  4. D.

    C

Attempted by 5 students.

Show answer & explanation

Correct answer: A

Concept: In an alphabet letter series, convert each letter to its position in the English alphabet (A = 1, B = 2, ... Z = 26) and look for a repeating pattern in the gap between consecutive positions.

Application:

  1. Convert each letter to its alphabet position: P = 16, N = 14, J = 10, H = 8.

  2. Find the gap between each consecutive pair: P to N = 16 - 14 = 2; N to J = 14 - 10 = 4; J to H = 10 - 8 = 2.

  3. The gaps repeat as 2, 4, 2, 4, ..., so the gap from H to the missing term must be 4.

  4. Subtract that gap from H's position: 8 - 4 = 4, and position 4 is the letter D.

Cross-check: Split the series into two interleaved chains formed by alternate terms - (P, J, missing term) and (N, H). In the first chain, P(16) to J(10) is a drop of 6 positions, so continuing that same drop from J(10) gives 10 - 6 = 4, confirming D independently.

So the missing letter is D.

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