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

Answer: (C)

138

Answer 2

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.