9th Class Mathematics Related to Competitive Exam Question Bank Arithmetic

  • question_answer
    the ratio of men to women in an office is 7 to 5. Which of the following could not be the number of employees in the office?

    A)  24                                         

    B)  30  

    C)  36                         

    D)         48

    Correct Answer: B

    Solution :

     The ratio\[7\]to\[5\]states that for every\[7\]men in the office, there must be \[5\]women. If there are \[7\]men, there will be\[5\]women. If there are\[14\]men, there will be\[10\]women, \[21\]men means\[15\]women and so on. If we observe here, we will notice that the total number of employees in the office would be\[12,\,\,24,\,\,36\]and so on. \[i.e.\]these numbers of employees should be a multiple of\[12\]to make the given information true. Now, here, all the choices, except\[30\]are multiples of\[12\]. Thus, \[30\]is not the possible number of employees.


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