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Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-1

  • question_answer
    \[4{{x}^{2}}+9{{y}^{2}}+16{{z}^{2}}+12xy+24yz+16zx\] is equal to

    A)  \[{{(2x-3y-4z)}^{2}}\]

    B)  \[{{(2x+3y-4z)}^{2}}\]

    C)  \[{{(2x+3y+4z)}^{2}}\]

    D)  Cannot be determined

    Correct Answer: C

    Solution :

     \[4{{x}^{2}}+9{{y}^{2}}+16{{z}^{2}}+12xyz+24yz+16zx\] \[\Rightarrow \]\[{{(2x)}^{2}}+{{(3y)}^{2}}+{{(4z)}^{2}}+2\cdot 2x\cdot 3y\]                                                \[+\,2\cdot 3y\cdot 4z+2\cdot 4z\cdot 2x\] \[\Rightarrow \]\[{{(2x+3y+4z)}^{2}}\]


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