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Solve the following grid puzzle: If X is the missing number, which option is correct? X & 6 96 & 4 \ Options: A. 12 B. 10 C. 15 D. 24 E. 30

Mathematics

ScanSolve AI Answer

Step-by-step solution

4 steps
  1. Identify the known numbers in the grid.

    The grid is given as:

    [?6964]\begin{bmatrix} ? & 6 \\ 96 & 4 \end{bmatrix}

    Let the missing number be XX.

  2. Look for a pattern relating the known numbers.

    Consider the numbers in the bottom row: 96 and 4.
    Consider the numbers in the right column: 6 and 4.

    A common pattern in these types of problems is a simple arithmetic relationship between the numbers. Let's test if the number in the bottom-left cell divided by the number in the bottom-right cell gives the missing number in the top-left cell.

  3. Apply the identified pattern to find the missing number.

    If the pattern is X=Bottom-LeftBottom-RightX = \frac{\text{Bottom-Left}}{\text{Bottom-Right}}, then:

    X=964X=24X = \frac{96}{4} \\ X = 24
  4. Compare the result with the given options.

    The calculated missing number is 24.
    The given options are:
    A. 12
    B. 10
    C. 15
    D. 24
    E. 30

    The calculated value matches option D.

    The final answer is $\boxed

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