Find the missing number: 5 : 100 :: 6 : ?
180
The correct answer is 180.
Rule: n → n² × (n − 1)
5 → 5² × (5 − 1) = 25 × 4 = 100 ✓
6 → 6² × (6 − 1) = 36 × 5 = 180
Short trick: n² × (n − 1) is the same as n³ − n² (125 − 25 = 100; 216 − 36 = 180).
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