SSC Quantitative Aptitude Number System and its Operations Question Bank Numbers and Their Principles (II)

  • question_answer
    Find the unit digit in the pro duct \[{{(4387)}^{246}}\times {{(621)}^{72}}.\]

    A) 1

    B) 2

    C) 5

    D) 7

    Correct Answer: D

    Solution :

    [d] Given, \[{{(4387)}^{245}}\times {{(621)}^{72}}\] To find the unit digit, we have to divide the index of given numbers by 4. In \[245\div 4,\] then remainder \[=1\] and In \[72\div 4,\] then remainder \[=0\] (When remainder comes 0, the index would be 4.) Hence, \[{{(4387)}^{1}}\times {{(621)}^{4}}\] \[={{7}^{1}}\times {{1}^{4}}=7\times 1=7\]


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