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How many of the employees at Company X life insurance?

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by BTGmoderatorLU » Sat Feb 22, 2020 10:49 am

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Source: Princeton Review

How many of the employees at Company X have life insurance?

1) There are 300 employees at Company X.
2) The ratio of employees with life insurance to employees without life insurance is 1:5.

The OA is C
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Source: — Data Sufficiency |

Statement 1: There are 300 employees at Company X.
This gives us the total number of employees in the company but there is no information on the exact value of those with life insurance, hence, statement 1 is NOT SUFFICIENT.

Statement 2: The ratio of employees with life insurance to employees without life insurance is 1:5.
This statement tells us that 1 out of every 6 employees has life insurance but the total number of employees is unknown. Thus, our target question cannot be answered. Therefore, statement 2 is also NOT SUFFICIENT.

Combining both statements together:
Statement 1: Total employees = 300
Statement 2: The ratio of employees with life insurance to employees without life insurance is 1:5.
Therefore, total employees with life insurance = $$\frac{1}{1+5}\cdot\frac{300}{1}=\frac{300}{6}=50$$
Both statements combined are SUFFICIENT. Answer = option C
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