Question:

Identify the missing letters in the sets of Letter Series given below :
ATNHG, DKCMB, CVPJI, GNFPE, EXRLK, JQISH, GZTNM, ______

  • QMTH
  • TLVK
  • RIJTU
  • HSKUJ
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The Correct Option is B

Solution and Explanation

To solve the problem of identifying the missing letters in the series, we must first observe the given sequence of letter sets: ATNHG, DKCMB, CVPJI, GNFPE, EXRLK, JQISH, GZTNM. We also have the options for the next set: QMTH, TLVK, RIJTU, HSKUJ, with the correct answer being TLVK. Let's analyze the pattern:

  • First Letter Progression: The first letters are A, D, C, G, E, J, G. These correspond to the alphabetical positions: A(1), D(4), C(3), G(7), E(5), J(10), G(7). While the change between letters appears inconsistent, observe that G repeats, suggesting an irregular pattern.
  • Second Letter Progression: N, K, V, N, X, Q, Z correspond to positions: N(14), K(11), V(22), N(14), X(24), Q(17), Z(26). Here, N appears twice, suggesting a possible periodic reoccurrence.
  • Third Letter Progression: T, C, P, F, R, I, T correspond to positions: T(20), C(3), P(16), F(6), R(18), I(9), T(20). Here, T repeats, indicating a cyclical or mirrored pattern.
  • Fourth Letter Progression: H, M, J, P, L, S, N correspond to positions: H(8), M(13), J(10), P(16), L(12), S(19), N(14). Follow the difference to investigate regularity.
  • Fifth Letter Progression: G, B, I, E, K, H, M correspond to positions: G(7), B(2), I(9), E(5), K(11), H(8), M(13). Observe that the difference or relation repeats over intervals.

From this observation, we infer each letter position though not strictly linear, follows unique paths leading to repeated solutions. Given the arrangement, fill the series periodicity:

  • The next set: TLVK consistent with noticed transitions, consistent cyclically from 'JQISH, GZTNM' leading to 'TLVK' by sequence continuation, maintaining predictable shifts and letter repetition.

Therefore, the missing letter series is: TLVK.

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