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    Study the given pattern carefully and select the number that can replace the question mark (?) in it.
    Question

    Study the given pattern carefully and select the number that can replace the question mark (?) in it.

    A.

    80

    B.

    100

    C.

    40

    D.

    20

    Correct option is D

    Logic: Divide the sum of the squares of the numbers given at the bottom of the triangle to get the number at the top of the triangle.
    Figure 1: [(3)2^2 + (32^2​)] ÷\div 2 = [9 + 9] ÷\div 2 = 18 ÷\div 2 = 9
    Figure 2: [(3)2^2​ + (9)2^2​] ÷\div​ 2 = [9 + 81] ÷\div​ 2 = 90 ÷\div​ 2 = 45
    Figure 3: [(4)2^2​ + (6)2^2​] ÷\div​ 2 = [16 + 36] ÷\div​ 2 = 52 ÷\div​ 2 = 26
    Similarly, follow the same pattern for the fourth figure:
    Figure 4: [(2)2^2​ + (6)2^2​] ÷\div​ 2 = [4 + 36] ÷\div​ 2 = 40 ÷\div​ 2 = 20
    So, the missing number is 20.
    Thus, the correct answer is (d).

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