KVPY Sample Paper KVPY Stream-SX Model Paper-25

  • question_answer
    If \[x\]and \[y\] satisfy the equations \[y=2[x]+3\] and \[y=3[x-2]\] simultaneously, then \[[x+y]\] is (where [] represents integral part function)

    A) 21

    B) 9

    C) 30

    D) 12

    Correct Answer: C

    Solution :

    \[y=2[x]+3=3[x-2],\]\[\Rightarrow \]\[2[x]+3=3[x]-6\Rightarrow [x]=9\]
    \[\therefore \]\[y=2[x]+3=21\]
    \[\therefore \]\[[x+y]=[x+21]\]
    \[=[x]+21=9+21=30\]


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