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Banking Sample Paper IBPS Clerk (PT) Sample Paper Test-2

  • question_answer
    In an event, every person shakes hand with ever/- other. If there was a total of 666 handshakes, then how many persons were there in the party?

    A)  67                               

    B)  66                   

    C)  37                   

    D) 36                   

    E) 68

    Correct Answer: C

    Solution :

    Let the total no. of persons in the party be n Total no. of handshakes \[^{n}{{C}_{2}}=666\] \[\frac{n\times (n-1)}{2}=666\] \[{{n}^{2}}-n-1332=0\] or\[{{n}^{2}}-37n+36-1332=0\] \[(n-37)(n+36)=0\] \[n=-36+37\] Hence, no. of people =37


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