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    How many numbers among 1210, 1331, 1442, 1553 are divisible by 11?
    Question

    How many numbers among 1210, 1331, 1442, 1553 are divisible by 11?

    A.

    1

    B.

    2

    C.

    3

    D.

    4

    Correct option is B

    Given:
    The set of numbers is 1210, 1331, 1442, and 1553.
    Formula Used:
    Divisibility Rule of 11: A number is divisible by 11 if the difference between the sum of its digits at odd places and the sum of its digits at even places is either 0 or a multiple of 11.
    Solution:
    Let us check each number independently.
    For 1210: Difference = (1 + 1) - (2 + 0) = 2 - 2 = 0. Divisible.
    For 1331: Difference = (1 + 3) - (3 + 1) = 4 - 4 = 0. Divisible.
    For 1442: Difference = (1 + 4) - (4 + 2) = 5 - 6 = -1. Not divisible.
    For 1553: Difference = (1 + 5) - (5 + 3) = 6 - 8 = -2. Not divisible.
    There are exactly 2 numbers (1210 and 1331) that satisfy the condition.
    Final Answer
    So the correct answer is (b)

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