In the following question one term is missing as shown by (?). Find the…

2024

In the following question one term is missing as shown by (?). Find the missing term.

4EZ, 5GY, 7IX, ?, 14MV, 19OU

  1. A.

    10KW

  2. B.

    10LW

  3. C.

    9KW

  4. D.

    10KY

Attempted by 3 students.

Show answer & explanation

Correct answer: A

Combined alphanumeric series pack a number and one or more letters into every term. Treat each position as its own independent channel: pull out just the numbers across all terms, then just each letter position, find the fixed or steadily-widening gap within that single channel on its own, and only recombine the channels at the end — they never interact with each other.

Applying this to the given series 4EZ, 5GY, 7IX, ?, 14MV, 19OU:

Number channel — the leading digits across all terms are 4, 5, 7, ?, 14, 19:

  1. 4 + 1 = 5

  2. 5 + 2 = 7

  3. 7 + 3 = 10 (the missing number)

  4. 10 + 4 = 14

  5. 14 + 5 = 19

The gap between consecutive numbers widens by one each step (+1, +2, +3, +4, +5).

Middle-letter channel — the middle letters across all terms are E, G, I, ?, M, O:

  1. E + 2 = G

  2. G + 2 = I

  3. I + 2 = K (the missing middle letter)

  4. K + 2 = M

  5. M + 2 = O

This channel keeps a constant forward shift of two letters throughout.

Last-letter channel — the last letters across all terms are Z, Y, X, ?, V, U:

  1. Z − 1 = Y

  2. Y − 1 = X

  3. X − 1 = W (the missing last letter)

  4. W − 1 = V

  5. V − 1 = U

This channel keeps a constant backward shift of one letter throughout.

Combining the three channels gives the missing term: 10KW.

Cross-check: the same three rules must also explain the terms that come AFTER the gap, not just before it. 10 + 4 = 14 continues the widening-by-one-step number rule, K + 2 = M continues the +2 middle-letter shift, and W − 1 = V continues the −1 last-letter shift — all three hold on both sides of the missing term, confirming 10KW fits the entire series consistently.

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