SSC Sample Paper Mock Test-19 SSC CGL Tear-II Paper-1

  • question_answer
    Find the unit digit in the product \[{{(4.387)}^{245}}\times {{(621)}^{72}}\]

    A) 1

    B)  2

    C)  5

    D)  7

    Correct Answer: D

    Solution :

    \[{{7}^{1}}=7,\]\[{{7}^{2}}=49,\]\[{{7}^{3}}=343,\]\[{{7}^{4}}=2401,\]\[{{7}^{5}}=16807\] i.e., The unit's digit repeats itself after power 4. Remainder after we divide 245 by 4 =1 \[\therefore \] Unit's digit in the product of \[{{(4387)}^{245}}\times {{(621)}^{72}}=\]Unit's digit in the product of \[{{(4387)}^{1}}\times {{(621)}^{72}}=7\times 1=7\]


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