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    Question

    The remainder when 731732 is divided by 9 is

    ‘a’. Then the unit’s place of a332211 is :
    A 3 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 1 Correct Answer Incorrect Answer
    D 4 Correct Answer Incorrect Answer

    Solution

    731732 = 7 + 3 + 1 = 11 We obtain 2 as the remainder when 11 is divided by 9. Now we have to divide (2)732 by 9 So, 2732/9 ⇒ (23 )244/9 ⇒ 8244 /9 ⇒ (9 - 1)244 /9 Hence we can clearly see that the required remainder is (-1)244 = 1 So, a = 1 Substituting a, (1)332211 Now the required unit digit = 1 So, the unit digit of a332211 is 1.

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