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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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8 : 72 :: 12 : ?
144
156
132
168
156
Apply the square-based pattern n squared + n, which simplifies to n(n + 1).
Apply the square-based pattern n squared + n, which simplifies to n(n + 1).
Analyze the first pair (8 : 72)
The logic is 8 squared + 8 = 64 + 8 = 72. Alternatively, 8 multiplied by the next consecutive integer (8 + 1 = 9) gives 8 * 9 = 72.
Apply the pattern to the second pair (12 : ?)
Following the same rule, 12 squared + 12 = 144 + 12 = 156. Alternatively, 12 multiplied by the next consecutive integer (12 + 1 = 13) gives 12 * 13 = 156.
A: 144 is 12 squared, ignoring the +n rule; C: 132 is 12 * 11, which uses the previous integer instead of the next; D: 168 is 12 * 14, which uses an incorrect multiplier.
B is correct because the number 12 follows the logic of n(n + 1), where 12 * 13 equals 156.
Whenever you see a number followed by its approximate square, check for n squared + n or n squared - n patterns immediately.
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