VIT Engineering VIT Engineering Solved Paper-2015

  • question_answer
    From a city population, the probability of selecting a male or smoker is \[\frac{7}{10},\] a male smoker is \[\frac{2}{5}\] and a male, if a smoker is already selected, is \[\frac{2}{3}.\] Then, the probability of

    A) selecting a male is \[\frac{3}{2}\]

    B) selecting a  smoker is \[\frac{1}{5}\]

    C) selecting anon -  smoker is \[\frac{2}{5}\]

    D) selecting a smoker, if a male is first selected, is given by \[\frac{8}{5}\]

    Correct Answer: C

    Solution :

    Suppose, A:a man is selected B : a  smoker is selected We are given that \[\begin{align}   & N{{H}_{3}}+2{{K}_{2}}\left[ Hg{{I}_{4}} \right]+3KOH\to  \\  & B\text{Nessler }\!\!'\!\!\text{ sreagent} \\ \end{align}\]The probability of selecting a smoker,                    \[\begin{align}   & {{H}_{2}}NHgO.HgI+7KI+{{H}_{2}}O \\  & \text{brown ppt}\text{.} \\  & \text{iodineofMillion }\!\!'\!\!\text{ sbase} \\ \end{align}\]                       \[\begin{align}   & HCl+MN{{O}_{3}}\to MCl+HN{{O}_{3}} \\  & \text{Cwhite ppt}\text{.} \\ \end{align}\] The probability of selecting a smoker,                       \[\left( M=A{{g}^{+}},p{{b}^{+}},H{{g}^{+}} \right)\]                       \[194u=\frac{28.9}{100}\times 194=56u\]                       \[\therefore \]                       The probability of selecting a male,            \[\therefore \]              \[56u=\frac{56}{14}Natom=4Natom\]             \[\begin{align}   & CaC{{O}_{3}}\xrightarrow{Heat}CaO+C{{O}_{2}}\uparrow  \\  & \text{XColourless} \\  & \text{gas} \\ \end{align}\] Probability of selecting a smoler, if a male is first selected, is given by            \[\begin{align}   & CaO+{{H}_{2}}O\to Ca{{\left( OH \right)}_{2}} \\  & \text{ResidueY} \\ \end{align}\]           \[\begin{align}   & Ca{{\left( OH \right)}_{20}}+2C{{O}_{2}}\to Ca{{\left( HC{{O}_{3}} \right)}_{2}} \\  & \text{YExcessZ} \\ \end{align}\]         \[\begin{align}   & Ca{{\left( HC{{O}_{3}} \right)}_{2}}\xrightarrow{Heat}CaC{{O}_{3}}+C{{O}_{2}}\uparrow +{{H}_{2}}O \\  & ZX \\ \end{align}\]


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