KVPY Sample Paper KVPY Stream-SX Model Paper-6

  • question_answer
    If p, q are two numbers such that 3 < p < 4, q > 4 or q < 3 then \[{{p}^{2}}\,(7q-12)\] is

    A) less than \[{{q}^{2}}\,(7p-12)\]

    B) greater than \[{{q}^{2}}\,(7p-12)\]

    C) less than \[{{q}^{2}}\,(12p-7)\]

    D) greater than \[{{q}^{2}}\,(12p-7)\]

    Correct Answer: A

    Solution :

    \[3<p<4\]
    \[\Rightarrow \]\[{{p}^{2}}-7p+12<0\] and \[q>4\]or \[q<3\]
    \[\Rightarrow \]\[{{q}^{2}}-7q+12>0\]
    \[\therefore \]\[{{p}^{2}}\,(7q-12)<{{q}^{2}}(7p-12)\]


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