If 10% of the employees of the state fare are police officers, what is

Question

If 10% of the employees of the state fare are police officers, what is the number of employees who are not police officers?

(1) 5% of the police officers employed in the fare are woman.
(2) 45% of the employees at the state fare are woman.

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paragw · Answer

The number of employees who are not police officers at the state fare cannot be determined with the information given in statements (1) and (2) alone or even together, because the total number of employees at the state fare is not provided. Both statements refer only to percentages of subgroups but not the total count, so the specific number of non-police-officer employees cannot be calculated without knowing how many employees there actually are.

Dereno · Answer

Let’s take the number of employees in the state fare as 100x.

Given that 10% *(100x) = 10x denotes Police.

Hence, 90x can denote the number who are not police officers.

Statement 1:

(1) 5% of the police officers employed in the fare are woman.

5%*(10x) = 0.5x denote the police officers who are woman.

Then male police officers = 10 - 0.5x = 0.95x.

These, are  Insufficient  to answer the number of employees who are not police officers.

Statement 2:

(2) 45% of the employees at the state fare are woman.

Out of 100x , 45% of employees denotes 45x.

Male employees denotes 55x.

These, are  Insufficient  to answer the number of employees who are not police officers.

Combining both statements, doesn’t provide the information for the number of employees who are not police officers.

Hence,  Insufficient.

Option E.

Ayeka · Answer

If 10% of the employees of the state fare are police officers, what is the number of employees who are not police officers?
Let, total number of employees = 100n 
Police officers = 10n 
Number of employees who are not police officers = 90n =?

(1) 5% of the police officers employed in the fare are woman.
Only includes a percentage of subgroup of employees who are police officers 
Insufficient

(2) 45% of the employees at the state fare are woman.
Again, only includes info about a sub group. 
Insufficient

(1)&(2) 
We cannot find the value of n even when both statements are taken together. 
Insufficient

E

If 10% of the employees of the state fare are police officers, what is

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GMAT Data Sufficiency (DS) Questions

If 10% of the employees of the state fare are police officers, what is

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards