Which number will replace the question mark (?) in the series: 98, 95, 86, 82, 66, ?, 36

Reasoning Ability ·Previously asked in JKSSB Patwari 2024

View the full solved paper: JKSSB Patwari – 1 September 2024 Set A

Question

Which number will replace the question mark (?) in the series: 98, 95, 86, 82, 66, ?, 36

  1. A. 58
  2. B. 60
  3. C. 61 (Correct answer)
  4. D. 63

Correct Answer

Option C — 61

Detailed Solution & Explanation

The correct answer is 61.

Key Points

  • Pattern: subtract alternating values — 3, 9, 4, 16, 5, 25. The subtracted values alternate between a sequence (3,4,5) and their squares (9,16,25).
  • Next subtraction: 5 → 66-5=61. Then 25 → 61-25=36 ✓. Answer: 61.