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Complete the number analogy: 12 : 144 :: 15 : ?
225
255
215
235
225
Recognize squares of numbers; here, the first number squared gives the second number (12 squared = 144, so 15 squared = 225).
Recognize squares of numbers; here, the first number squared gives the second number (12 squared = 144, so 15 squared = 225).
Analyze the first pair
Examine the relationship between 12 and 144. Notice that 12 multiplied by itself (12 squared) equals 144.
Apply the rule to the second term
Apply the same square operation to 15. Calculating 15 squared gives 15 multiplied by 15, which equals 225.
B: 255 is incorrect because the square of 15 is not 255. C: 215 is incorrect because the square of 15 is not 215. D: 235 is incorrect because the square of 15 is not 235.
A is correct because 15 squared equals 225, matching the pattern from the first pair where 12 squared equals 144.
Always check for basic powers such as squares and cubes before searching for complex multi-step addition or multiplication sequences.
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