JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2012

  • question_answer
        Let n persons sit on a round table. The odd against two specified persons sitting together is

    A)  \[2:(n-3)\]                         

    B)  \[(n-1):2\]

    C)  \[(n-2):2\]                         

    D)  \[(n-3):2\]

    Correct Answer: D

    Solution :

                    Let d be the common difference of AP. Since,                    \[{{a}_{7}}=15\] \[\therefore \]                  \[{{a}_{2}}=15-5d\] and        \[{{a}_{12}}=15+5d\] Now, \[{{a}_{2}}{{a}_{7}}{{a}_{12}}=(15-5d)(15)(15+5d)\]                 \[=15.25(3-d)(3+d)\]                 \[=375(9-{{d}^{2}})\] Clearly, this will be greatest, if\[d=0\]


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