CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2004

  • question_answer
    Mean mark scored by the students of a class is 53. The mean mark of the girls is 55 and the mean mark of the boys is 50. What is the percentage of girls in the class?

    A)  60%                      

    B)         40%

    C)  50%                      

    D)         45%

    E)  55%

    Correct Answer: A

    Solution :

    Let number of boys are\[x\]and number of girls are y. \[\therefore \]  \[53(x+y)=55y+50x\] \[\Rightarrow \]               \[53x+53y=55y+50x\] \[\Rightarrow \]               \[3x=2y\] \[\Rightarrow \]               \[x=\frac{2y}{3}\] \[\therefore \] Total number of students\[=x+y\]                                                        \[=\frac{5}{3}y\] \[\therefore \]Required percentage\[=\frac{3}{5}\times 100%\] = 60%


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