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Select the option that relates to the pair 12 : 144 :: 15 : ?
196
225
256
180
225
Recognize standard squares immediately; the first term is squared to give the second term (n to n squared).
Recognize standard squares immediately; the first term is squared to give the second term (n to n squared).
Analyze the First Pair
Observe the relationship between 12 and 144. The second number is the square of the first number, since 12 squared equals 144.
Apply to the Second Pair
Apply the identical squaring rule to 15. Multiplying 15 by itself gives 225.
A: 196 is the square of 14 and is incorrect. C: 256 is the square of 16 and is incorrect. D: 180 is the product of 12 and 15, which does not follow the square rule.
B is correct because 15 squared equals 225, which mirrors the square relationship of 12 and 144.
Check for squares, cubes, and prime patterns first before trying complex multiplication or addition tricks in number analogies.