Question

Identify the number that will replace the question mark in the second equation based on the relationship represented in the first equation.

• A. 420
• B. 92
• C. 138
• D. 456

Answer 1

The Correct Option is C

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  \(c\) 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.