Question:

What should come in the place of the question mark (?) in the following alphanumeric series? A1X, B4P, E25J, J100F, ?

Updated On: Mar 28, 2025
  • O289D
  • O225E
  • Q289D
  • Q225E
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The Correct Option is C

Solution and Explanation

Step 1: Break down each term

TermFirst LetterNumberLast Letter
A1XA1X
B4PB4P
E25JE25J
J100FJ100F

Step 2: Analyze First Letters (A, B, E, J)

Alphabet positions:

  • A = 1
  • B = 2 (+1)
  • E = 5 (+3)
  • J = 10 (+5)

Pattern: Differences increase by 2 (1, 3, 5), so next difference should be +7

Next letter position: 10 + 7 = 17 → Q

Step 3: Analyze Numbers (1, 4, 25, 100)

Sequence inside squares:

  • 1 = 1²
  • 4 = 2²
  • 25 = 5²
  • 100 = 10²

Base numbers: 1, 2, 5, 10

Differences: +1, +3, +5 (increasing by 2), so next difference should be +7

Next base number: 10 + 7 = 17 → 17² = 289

Step 4: Analyze Last Letters (X, P, J, F)

Alphabet positions:

  • X = 24
  • P = 16 (-8)
  • J = 10 (-6)
  • F = 6 (-4)

Pattern: Differences decrease by 2 (-8, -6, -4), so next difference should be -2

Next letter position: 6 - 2 = 4 → D

Step 5: Combine Components

Next term: Q289D

Step 6: Match with Options

The correct option is (3) Q289D.

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