Identify the number that will replace the question mark in the second equation based on the relationship represented in the first equation.
Identify the number that will replace the question mark in the second equation based on the relationship represented in the first equation.
- 420
- 92
- 138
- 456
The Correct Option is C
Solution and Explanation
The correct answer, based on the calculation, is 138.
The relationship is given by the formula\(a^2 + b^3 + c^4\), where \(a , b\)and are the numbers in the nested boxes from outermost to innermost.
First Circle Calculation: \(a = 2 , b = 3 , c = 4\)
Applying the formula:
\(a^2 + b^3 + c^4 = 2^2 + 3^3 + 4^4 = 4 + 27 + 256 = 287\)
Second Circle Calculation: \(a = 7 , b = 2 , c = 3\)
Applying the formula:
\(a^2 + b^3 + c^4 = 7^2 + 2^3 + 3^4 = 49 + 8 + 81 = 138\)
Thus, the answer is 138.
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