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Banking Sample Paper SBI Clerk Grade (Main) Sample Test Paper-1

  • question_answer
    Direction: What should come in place of the question mark (?) in the following question?
    \[784\times \sqrt{(256)}\times 343={{4}^{4}}\times {{7}^{?}}\]

    A)  3                    

    B)  11

    C)  9                    

    D)  5

    E)  7

    Correct Answer: D

    Solution :

     \[784\times \sqrt{256}\times 343={{4}^{4}}\times {{7}^{?}}\] \[\Rightarrow 784\times 16\times 343={{4}^{4}}\times {{7}^{?}}\] \[\Rightarrow {{7}^{?}}=\frac{784\times 16\times 343}{{{4}^{4}}}\] \[=49\times 343\] \[\Rightarrow {{7}^{?}}={{7}^{2}}\times {{7}^{3}}={{7}^{5}}\Rightarrow ?=5\]


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