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Select the option that is related to the third term in the same way as the second term is related to the first term. 12 : 144 :: 15 : ?
225
255
196
210
225
Square the first number to get the second number (n : n squared).
Square the first number to get the second number (n : n squared).
Analyze First Pair
Observe the relationship between 12 and 144. Since 12 multiplied by 12 equals 144, the pattern is n to n squared.
Apply to Second Pair
Apply the same square rule to 15. Multiplying 15 by 15 equals 225, which gives the missing term.
B: 255 is incorrect because it is not the square of 15. C: 196 is incorrect because it is the square of 14, not 15. D: 210 is incorrect because it is not a perfect square.
A is correct because squaring the number 15 yields 225, mirroring the relationship established in the first pair.
Always check for basic arithmetic squares, cubes, or prime number relations in number analogy questions before testing complex operations.
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