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Observe the numbers in each cell:

Biology

ScanSolve AI Answer

Answer

D

Step-by-step solution

6 steps
  1. Analyze the numbers in the grid.

    Observe the numbers in each cell:
    Row 1: 16, 9, 4
    Row 2: 25, 16, 9
    Row 3: 36, 25, ?

  2. Find the square root of each number in the grid.

    Let's look at the square roots of the numbers in each row:
    For Row 1:
    16=4\sqrt{16} = 4
    9=3\sqrt{9} = 3
    4=2\sqrt{4} = 2
    The sequence of square roots is 4,3,24, 3, 2.

    For Row 2:
    25=5\sqrt{25} = 5
    16=4\sqrt{16} = 4
    9=3\sqrt{9} = 3
    The sequence of square roots is 5,4,35, 4, 3.

  3. Identify the pattern.

    In both Row 1 and Row 2, the square roots of the numbers form a decreasing sequence by 1.
    The first number's square root is 1 greater than the second, and the second is 1 greater than the third.

  4. Apply the pattern to the third row.

    For Row 3:
    36=6\sqrt{36} = 6
    25=5\sqrt{25} = 5
    Following the pattern, the square root of the missing number should be 1 less than 5.
    So, the square root of the missing number is 5−1=45 - 1 = 4.

  5. Calculate the missing number.

    If the square root of the missing number is 4, then the missing number is 424^2.

    42=164^2 = 16
  6. Compare with the given options.

    The calculated missing number is 16.
    The options are:
    a. 49
    b. 25
    c. 9
    d. 16

    The correct option is d.

    The final answer is d. 16\boxed{\text{d. 16}}

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