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In an office that employs 120 people, m% of the employees ar

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by BTGmoderatorDC » Fri Feb 01, 2019 5:16 pm

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In an office that employs 120 people, m% of the employees are male, and c% of the employees are members of the custodial staff. How many employees are females who are not members of the custodial staff?

(1) m + c = 50
(2) The number of female employees who are members of the custodial staff is four.

OA E

Source: Veritas Prep
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Source: — Data Sufficiency |

by deloitte247 » Sun Feb 03, 2019 11:12 am
How many employees are female who are not members of the custodial staff.

$$Males=\left(\frac{m}{100}\right)\cdot120$$
$$Females=\left(\frac{1-m}{100}\right)\cdot120$$
$$Custodial\ staff=\left(\frac{c}{100}\right)\cdot120$$

Statement 1
m+c= 50; This cannot be related to any of the information provided in the question hence statement 1 is INSUFFICIENT.

Statement 2
The numbers of female employee who are members of custodial staff is four , we don't know total number of female custodial staff hence statement 2 is INSUFFICIENT.

Combining both statement 1 and 2
m + c = 50 ; female custodial staff = 4

None of this information is enough to answer the question, hence both statement together are INSUFFICIENT.

$$answer\ is\ Option\ E$$
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