Select the missing number from the given responses:
Show Hint
In number grids, always check for patterns like squares, cubes, or arithmetic sequences column-wise or row-wise—these are very common in aptitude questions.
Concept:
The given arrangement follows a structured pattern based on consecutive perfect cubes of natural numbers, arranged column-wise with increasing and decreasing sequences.
Step 1:Observe the vertical relationships.
Each column contains cubes of consecutive integers, where the first column increases upward, the second decreases, and the third continues increasing.
Step 2:Identify the sequence in the third column.
The third column follows:
343 = 7³
512 = 8³
? = 9³
Thus, the pattern continues with the next natural number cube.
Step 3:Compute the missing term.
\[
9^3 = 729
\]
