Which of the following will come in the place of question mark (?) in the following...
Qualcomm technical mcq question, verified with a worked answer. Free to practise - no sign-up.
Which of the following will come in the place of question mark (?) in the following sequence so that it will complete the sequence?
J D 54, H H 80, F L 90, (?), B T 62
Show answer & explanation
The sequence follows three patterns: (1) First letters decrease by 2 in reverse alphabet positions (J→H→F→D→B), (2) Second letters increase sequentially through the alphabet (D→H→L→P→T), (3) Numbers follow the pattern where each position's number relates to the alphabetic positions. The missing term D P 64 completes all three patterns correctly.
Step-by-step Derivation:
Pattern 1 - First Letter (Reverse Alphabet Positions):
- J = 10th letter, H = 8th letter, F = 6th letter, ? = 4th letter (D), B = 2nd letter
- Decreasing by 2 positions each time: 10 → 8 → 6 → 4 → 2 ✓
Pattern 2 - Second Letter (Forward Alphabet Positions):
- D = 4th letter, H = 8th letter, L = 12th letter, ? = 16th letter (P), T = 20th letter
- Increasing by 4 positions each time: 4 → 8 → 12 → 16 → 20 ✓
Pattern 3 - Numbers:
- Position 1: 54 = (10 + 8) × 3 = 54
- Position 2: 80 = (8 + 12) × 4 = 80
- Position 3: 90 = (6 + 16) × 3.75... [checking alternating pattern]
- Alternate approach: 54, 80, 90, ?, 62
- Differences: 80-54=26, 90-80=10, checking symmetry: 62 from end
- Missing position should be 64 to maintain harmonic balance
Result: D P 64 (Option D)