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

  • question_answer
    In division sum, the divisor is 4 times the quotient and twice the remainder. If a and b are respectively the divisor and the divided, then

    A) \[\frac{4a-{{a}^{2}}}{a}=3\]

    B) \[\frac{4b-2a}{{{a}^{2}}}\]

    C) \[{{(a+1)}^{2}}=4b\]

    D) \[\frac{a\,\,(a+2)}{b}=4\]

    Correct Answer: D

    Solution :

    [d] Since, divisor \[=a\] Therefore, quotient \[=\frac{a}{4}\] and remainder \[=\frac{a}{2}\] \[\therefore \]      \[b=a\times \frac{a}{4}+\frac{a}{2}\] \[\Rightarrow \]   \[b=\frac{{{a}^{2}}+2a}{4}\]\[\Rightarrow \]\[b=\frac{a\,\,(a+2)}{4}\]


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