Question

Complete the series: A2, C6, F12, J20, ?

• A. O30
• B. N32
• C. P32
• D. M34

Hint:

For letter-number series, analyze letter positions and numeric differences separately to identify patterns.

Answer 1

The Correct Option is B

Step 1: Analyze letters — Positions: A(1), C(3), F(6), J(10) → increments: +2, +3, +4 → Next: 10 + 5 = 15 → N(14) or 15? Letter N (14th) is correct as per pattern correction.
Step 2: Analyze numbers — 2, 6, 12, 20 → differences: 4, 6, 8 → Next: 20 + 10 = 30 → Number = 30. Wait, letter pattern corrected → N(14), Number = 30 → Actually Option (b) N32? Number pattern 2,6,12,20 → difference 4,6,8 → Next = 20+10=30. So correct number is 30. Letter = N.
Step 3: Conclusion — Option (b) N32? Actually the number should be 30 → Option (a) O30? Letter increments: A→C(+2), C→F(+3), F→J(+4), J→O(+5) → Number: 2,6,12,20 → +4,+6,+8 → Next = 28? Huh. Better to compute differences step: 2→6(+4),6→12(+6),12→20(+8) → Next +10 =30 → Number = 30. Letter: positions: A(1),C(3),F(6),J(10) → differences +2,+3,+4 → Next +5 → 10+5=15 → O(15) → So correct series term: O30.
Step 4: Conclusion — Option (a) O30 is correct.