Find the missing number.

Question

Find the missing number.

1. A. 100
2. B. 121
3. C. 132 (Correct answer)
4. D. 99

Correct Answer

Option C — 132

Detailed Solution & Explanation

The correct answer is 132.

Key Points

• The six sectors pair up across the centre, and in each pair the relation is n × (n + 1).
• 5 is opposite 30: 5 × 6 = 30 ✓
• 8 is opposite 72: 8 × 9 = 72 ✓
• 11 is opposite the missing sector: 11 × 12 = 132.

Additional Information

• The pattern n × (n+1) always produces an even number, which alone rules out 121 and 99.
• In circular arrangements, test diametrically opposite pairs before testing neighbouring sectors — opposite-pair relations are the more common design.

*Ministry of Papers worked solution. The Commission has not yet published the official key for this paper; this answer will be reconciled with it on release.*