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SSC Sample Paper Mock Test-6 SSC CGL Tear-II Paper-1

  • question_answer
    In the adjoining figure ABCD is a parallelogram and E, F are the centroids of \[\Delta ABD\]and \[\Delta BCD\]is respectively, then the length of AB?

    A)   AE     

    B)                     OB

    C)  \[\frac{1}{3}\]AE                     

    D)  \[\frac{1}{3}\]FC

    Correct Answer: A

    Solution :

    As E is the centroid of \[\Delta ABD\]and AO is one of its medians \[\Rightarrow \]   \[AE:EO=2:1\] \[\therefore \]      \[EO=\frac{1}{3}OA\] Similarly,           \[FO=\frac{1}{3}OC\] \[\therefore \]      \[EO+OF=\frac{1}{3}OA+\frac{1}{3}OC\] \[=\frac{1}{3}AC=AE\] \[\therefore \]      \[EF=AE\]


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