Banking Sample Paper SBI Clerk Grade (Main) Sample Test Paper-7

  • question_answer
    Direction: What should come in place of the question mark (?) in the question?
    \[{{(6)}^{4}}\div {{(36)}^{3}}\times 216={{6}^{(?-2)}}\]

    A)  3      

    B)  6

    C)  1                    

    D)  4

    E)  None of these

    Correct Answer: A

    Solution :

         \[{{6}^{4}}\div {{({{6}^{2}})}^{3}}\times {{6}^{3}}={{6}^{?-2}}\] \[\Rightarrow \]\[{{6}^{4-6+3}}={{6}^{?-2}}\] \[\Rightarrow \]\[{{6}^{1}}={{6}^{?-2}}\] \[\Rightarrow \]\[?-2=1\] \[\Rightarrow \]\[?=3\] \[[{{({{a}^{m}})}^{n}}={{a}^{mn:}}{{a}^{m}}\times {{a}^{n}}={{a}^{m+n}};\]\[{{a}^{m}}\div {{a}^{n}}={{a}^{m-n}}]\]   


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