11th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-12

  • question_answer
    If \[f:R\to R\]is defined by \[f(x)=\left\{ \begin{align}   & x+4,forx<-4 \\  & 3x+2,for-4\,\le x<4 \\  & x-4,forx\ge 4 \\ \end{align} \right.\] then the correct matching of List I from List II is
    List I List II
      F(- 5) + f(-4) (i) 14
      f(|f(- 8)|) (ii) 4
      f(f(-7) + f (3)) (iii) - 11
      F(f(f(f(0)))) + 1 (iv) -1
        (V) 1
        (VI) 0

    A)              -(iii)   -(vi)  -(ii)   (v)

    B)  -(iii)   -(iv)  -(ii)  -(v)

    C)  -(iv)   -(iii)   -(ii)  -(i)

    D)  -(iii)   -(vi)   -(v)  -(ii)

    Correct Answer: A


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