2. Sample Papers
  3. KVPY

KVPY Sample Paper KVPY Stream-SX Model Paper-27

  • question_answer
    If \[\alpha ={{\log }_{3}}{{\log }_{3}}2.\] An integer \[r\] satisfying \[1<{{2}^{(-r+{{3}^{-\alpha }})}}<2\] must be less than -

    A) \[-1\]    

    B) 0    

    C) 1

    D) 2

    Correct Answer: D

    Solution :

    \[1<{{2}^{(-r+{{3}^{-a}})}}<2\]
    \[a={{\log }_{3}}{{\log }_{3}}2\] \[\Rightarrow {{3}^{a}}={{\log }_{3}}2\] \[\Rightarrow {{3}^{-a}}={{\log }_{2}}3\]
    \[0<-r+{{3}^{-a}}<1\,\,\,{{\log }_{2}}3-r>0\] \[\Rightarrow {{\log }_{2}}3>r,\]
    \[lo{{g}_{2}}3<1+r\]
    \[1<{{\log }_{2}}3<2\Rightarrow r=1\]


You need to login to perform this action.
You will be redirected in 3 sec spinner