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NEET Sample Paper NEET Sample Test Paper-52

  • question_answer
    The relation gives the value of x as, \[x=\frac{{{a}^{3}}{{b}^{3}}}{c\sqrt{d}}\].  Find the maximum percentage error in x, if the percentage error in a, b, c, d are \[2%,\text{ }1%,\text{ }2%\text{ }\And \text{ }4%\] respectively

    A) \[13%\]             

    B) \[5%\]

    C) \[9%\]                           

    D) \[8\,%\]

    Correct Answer: A

    Solution :

    \[\frac{\Delta x}{x}\,\,\times \,100=\frac{3\Delta a}{a}\,\times 100+\frac{3\Delta b}{b}\,\times 100\]                        \[+\frac{3\Delta c}{c}\times 100\,\,+\,\,\frac{1}{2}\,\frac{3\Delta d}{d}\,\times 100\] \[%\,error\text{ }in\text{ }x=3\times 2+3\times 1+2\times 1+4\times \frac{1}{2}\] \[=\text{ }13\,%\]


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