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SSC Sample Paper SSC CGL - Sample Paper-14

  • question_answer
    In a class, \[\frac{3}{5}\] of the students are girls and rest are boys. If\[\frac{2}{9}\]of the girls and\[\frac{1}{4}\]of the boys are absent, what part of the total number of students is present?

    A) \[\frac{17}{25}\]                                   

    B) \[\frac{18}{49}\]

    C) \[\frac{23}{30}\]                       

    D) \[\frac{23}{36}\]

    Correct Answer: C

    Solution :

    Girls \[=\frac{3}{5},\] Boys \[=\left( 1-\frac{3}{5} \right)=\frac{2}{5}\] Fraction of students absent \[=\frac{2}{9}\,\,\text{of}\,\,\frac{3}{5}+\frac{1}{4}\,\,\text{of}\,\,\frac{2}{5}\]             \[=\frac{6}{25}+\frac{1}{10}\]             \[=\frac{21}{90}=\frac{7}{30}\] \[\therefore \] Fraction of students present \[=\left( 1-\frac{7}{3} \right)=\frac{23}{30}\]        


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