CLAT Sample Paper CLAT Sample Paper-8

  • question_answer
    The number of zeroes at the end of \[{{15}^{30}}\times {{10}^{12}}\] is

    A)  30                   

    B)  12       

    C)         42       

    D)         6                    

    Correct Answer: B

    Solution :

    \[{{15}^{30}}\times {{10}^{12}},\] number of zeroes in any product depends upon the presence of number of 5's and number of 2's in it  \[{{15}^{30}}\times {{10}^{12}}={{3}^{30}}\times {{5}^{30}}\times {{2}^{12}}\times {{5}^{12}}={{2}^{12}}\times {{3}^{30}}\times {{5}^{42}}\] The product has 12, 2's and 42 5's. So, the number of zeroes is 12. (5's alone cannot give 10, same number of 2's are required)

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