What should come in the place of the question mark (?) in the following alphanumeric series?
\(A1X, B4P, E25J, J100F, ?\)
What should come in the place of the question mark (?) in the following alphanumeric series?
\(A1X, B4P, E25J, J100F, ?\)
- O289D
- O225E
- Q289D
- Q225E
The Correct Option is C
Solution and Explanation
Step 1: Break down each term
| Term | First Letter | Number | Last Letter |
|---|---|---|---|
| A1X | A | 1 | X |
| B4P | B | 4 | P |
| E25J | E | 25 | J |
| J100F | J | 100 | F |
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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