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KVPY Sample Paper KVPY Stream-SX Model Paper-9

  • question_answer
    Let \[f:\left\{ x,y,z \right\}\to \left\{ 1,2,3 \right\}\]be a one -one mapping such that only one of the following three statements is true and remaining two are false \[f(x)\ne 2,f(y)=3,f(z)\ne 1,then\]

    A) \[f(x)>f(y)>f(z)\]

    B) \[f(x)<f(y)<f(z)\]

    C) \[f(y)<f(x)<f(z)\]

    D) \[f(y)<f(z)<f(x)\]

    Correct Answer: C

    Solution :

    let \[f(x)\ne 2\]be true and   \[f(y)=2,\]\[f(z)\ne 1\]are false
    \[\Rightarrow f(x)\ne 2,f(y)\ne 2,f(z)=1\]
    \[\Rightarrow f(x)=3,f(y)=3,f(z)=1\]
    But then function is many one, similarly two other cases.


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