Question

Select the missing number from the given responses:

• A. 615
• B. 729
• C. 575
• D. 340

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.

Answer 1

The Correct Option is B

Concept: The numbers in each column follow a pattern of perfect cubes: \[ 1 = 1^3,\; 8 = 2^3,\; 27 = 3^3 \] \[ 216 = 6^3,\; 125 = 5^3,\; 64 = 4^3 \] \[ 343 = 7^3,\; 512 = 8^3,\; ? = 9^3 \] Step 1:Identify cube patterns column-wise.
First column: \[ 1, 8, 27 = 1^3, 2^3, 3^3 \] Second column: \[ 216, 125, 64 = 6^3, 5^3, 4^3 \] Third column: \[ 343, 512, ? = 7^3, 8^3, 9^3 \]
Step 2:Find the missing value.
\[ ? = 9^3 = 729 \] Final Answer: \[ {729} \]