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    If abc is a three-digit number where abc and cba is another three-digit number, then abc - cba is always divisible by:
    Question

    If abc is a three-digit number where abc and cba is another three-digit number, then abc - cba is always divisible by:

    A.

    13

    B.

    9

    C.

    8

    D.

    7

    Correct option is B

     
    Given:
    - abc and cba are three-digit numbers, where a#c and cba is another three-digit number
    Formula Used:
    1. If abc is written as 100a + 10b + c and cba as 100c + 10b + a.
    2. Subtracting cba from abc: abc - cba
    Solution:
    1. abc - cba = (100a + 10b + c) - (100c + 10b + a)
    2. Simplify: = 99(a - c)
    3. Since 99(a - c) is divisible by 9.
    Answer: (b) 9

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