Question

132 : 156 :: 90 : _________

• A. 110
• B. 190
• C. 120
• D. 180

Answer 1

Answer:

A. 110

Mathematical Logic Analysis

• Pattern Recognition: The relationship between the numbers 132 and 156 can be expressed as: 132 = 11² + 11 (or 11 × 12) and 156 = 12² + 12 (or 12 × 13).
• Application: Applying the same logic to the next pair: 90 = 9² + 9 (or 9 × 10).
• Calculation: The sequence follows the rule n(n+1). Since 90 corresponds to 9 × 10, the next number in the sequence should follow the pattern (n+1) × (n+2), which is 10 × 11 = 110.
• Alternative Method: The difference between 156 and 132 is 24. If we observe the sequence, 132 + 24 = 156. However, in series completion problems, prime-based or squared-based logic is prioritized. Here, 90 + 20 = 110 is a common secondary pattern where the increment difference reduces by 4 (24 decreased to 20).