SSC Sample Paper Mock Test-12 SSC CGL Tear-II Paper-1

  • question_answer
    What is the sum of two consecutive even numbers, the difference of whose square is 84?

    A) 38

    B)  34     

    C)  42

    D)  46

    Correct Answer: C

    Solution :

    \[{{(x+2)}^{2}}-{{x}^{2}}=84\] \[\Rightarrow \]\[{{x}^{2}}+4x+4-{{x}^{2}}=84\] \[\Rightarrow \]\[4x=84-4=80\] \[\Rightarrow \]\[x=\frac{80}{4}=20\] \[\therefore \]\[x+2=20+2=22\] \[\therefore \] The required sum \[=20+22=42\]


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