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SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-6

  • question_answer
    If \[a+b+c=16\]and\[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}=104\], then what is the value of\[(ab+ac+be)\])?

    A) 54                                

    B) 88

    C) 76                                

    D) 72

    Correct Answer: C

    Solution :

    \[{{(a+b+c)}^{2}}={{a}^{2}}+{{b}^{2}}+{{c}^{2}}+2(ab+bc+ca)\] \[\begin{align} & \Rightarrow \frac{{{16}^{2}}-104}{2}=ab+bc+ca \\ & \Rightarrow \frac{256-104}{2}=ab+bc+ca \\ \end{align}\] \[\therefore \]    76 = \[ab+bc+ca\]


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