Q.62 Given the sequence of terms, AD CG FK JP, the next term is
(A) OV (B) OW (C) PV (D) PW
✅ Correct Answer: Option (A) OV
The pattern splits into first and second letters with triangular number gaps (+2, +3, +4 for first letters; +3, +4, +5 for seconds). From JP (J=10, P=16), next first letter is 10+5=O (15), second is 16+6=V (22), forming OV.
🔍 Detailed Pattern Breakdown
Break down positions (A=1, B=2, …, Z=26) and gap progression for clarity.
Pattern for First Letters: A → C → F → J → ?
Positions: 1 → 3 (+2) → 6 (+3) → 10 (+4) → 15 (+5) = O
Triangular: ( T_n = n(n+1)/2 ) matches 1,3,6,10,15.
Pattern for Second Letters: D → G → K → P → ?
Positions: 4 → 7 (+3) → 11 (+4) → 16 (+5) → 22 (+6) = V
Gaps increase by 1 each step.
📊 Option Analysis Table
| Option | First Letter Pos | Gap Check | Second Letter Pos | Gap Check | Correct? |
|---|---|---|---|---|---|
| (A) OV | 15 (J+5) | ✅ | 22 (P+6) | ✅ | Yes |
| (B) OW | 15 ✓ | ✅ | 23 ✗ | ❌ | No |
| (C) PV | 16 ✗ | ❌ | 22 ✓ | ✅ | No |
| (D) PW | 16 ✗ | ❌ | 23 ✗ | ❌ | No |
🎯 Strategies for Letter Sequence Questions
For letter sequence pattern, separate letters, note positions, compute differences (look for +1 increments). Verify all options. Practice 20 series daily; recognize triangular numbers (1,3,6,10,15,21).
💡 Pro Tip
Use quick mental math: gaps start post-first term. Common in GATE aptitude—target 100% accuracy.
