SSC Sample Paper Mock Test-13 SSC CGL Tear-II Paper-1

  • question_answer
    In figure, AB, EF and CD are parallel lines. Given that GE = 5 cm, GC = 10 cm and DC = 18 cm, then EF is equal to

    A) 11 cm

    B)  5 cm   

    C)  6 cm   

    D)  9 cm

    Correct Answer: D

    Solution :

    In \[\Delta GEF\]and \[\Delta GCD,\] we have \[\angle EGF=\angle CGD\](alternate angles) \[\angle EGF=\angle CGD\](vertically opposite angles) \[\Delta GEF\sim \Delta GCD\] \[\therefore \] \[\frac{GE}{CG}=\frac{EF}{CD}\]\[\Rightarrow \]\[\frac{5}{10}=\frac{EF}{18}\] \[\Rightarrow \]\[EF=\frac{5\times 18}{10}=9\,\,\text{cm}\]


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