Select the option that is related to the third term in the same way as the second term is related to the first term. 412 : 49 :: 361 : ?
100
100 is correct.
Since 49 is a perfect square, test whether it is the square of a number built from 412, such as the sum of its digits, and confirm the rule on the given pair first.
The second term is the square of the sum of the digits of the first term.
For 412: \(4 + 1 + 2 = 7\) and \(7^2 = 49\).
For 361: \(3 + 6 + 1 = 10\) and \(10^2 = 100\).
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