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    Set A contains three consecutive multiples of 7, and set B contains five consecutive odd numbers. The largest number in set A is equal to the smallest
    Question



    Set A contains three consecutive multiples of 7, and set B contains five consecutive odd numbers. The largest number in set A is equal to the smallest number in set B. If the average of the smallest number in sets A and B is 28, then find the difference between the 2nd smallest number in set A and the 2nd largest number in set B.

    A.

    11

    B.

    9

    C.

    13

    D.

    15

    E.

    21

    Correct option is C


    Let set A number be 7y, 7(y+1) and 7 (y+2)
    Let set B number be x, x+2, x+4, x+6 & x+8
    ATQ,
    7(y+2) = x
    x – 7y = 14…(I)
    And
    (7y+x)/2 = 28
    x + 7y = 56….(II)
    x = 35
    and y = 3
    Required difference = 41 - 28 = 13

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