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The fire department has two classes of employees, responders

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The fire department has two classes of employees, responders [#permalink] New post 18 Dec 2012, 07:06
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The fire department has two classes of employees, responders and administrators. The department requires a physical for each new employee, unless that employee has had a physical in the previous year or is an administrator. Last month, the fire department required physicals of 6 new employees. If 3/4 of the new employees are responders, how many new employees does the department have?

(1) 1/6 of the new employees are administrators who have had a physical in the previous year.
(2) 1/3 of the new responders have had a physical in the previous year.
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Re: The fire department has two classes of employees, responders [#permalink] New post 18 Dec 2012, 07:24
The fire department has two classes of employees, responders and administrators. The department requires a physical for each new employee, unless that employee has had a physical in the previous year or is an administrator. Last month, the fire department required physicals of 6 new employees. If 3/4 of the new employees are responders, how many new employees does the department have?

Since out of new employees only responders who didn't have a physical in the previous year will need a physical, then the number of new repsonders who didn't have a physical in the previous year = 6.

(1) 1/6 of the new employees are administrators who have had a physical in the previous year. Not sufficient.

(2) 1/3 of the new responders have had a physical in the previous year. This implies that 2/3 of the new responders have NOT had a physical in the previous year. As 3/4 of the new employees are responders, then 3/4*(# of new employees)=(# of new responders) and 2/3*(# of new responders)=6 --> 2/3*3/4*(# of new employees)=6 --> (# of new employees)=12. Sufficient.

Answer: B.
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The fire department has two classes of employees, responders [#permalink] New post 31 Jan 2013, 21:14
The fire department has two classes of employees, responders and administrators. The department requires a physical for each new employee, unless that employee has had a physical in the previous year or is an administrator. Last month, the fire department required physicals of 6 new employees. If \frac{3}{4} of the new employees are responders, how many new employees does the department have?

(1) \frac{1}{6} of the new employees are administrators who have had a physical in the previous year.

(2) \frac{1}{3} of the new responders have had a physical in the previous year.
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Re: The fire department has two classes of employees, responders [#permalink] New post 01 Feb 2013, 03:55
PraPon wrote:
The fire department has two classes of employees, responders and administrators. The department requires a physical for each new employee, unless that employee has had a physical in the previous year or is an administrator. Last month, the fire department required physicals of 6 new employees. If \frac{3}{4} of the new employees are responders, how many new employees does the department have?

(1) \frac{1}{6} of the new employees are administrators who have had a physical in the previous year.

(2) \frac{1}{3} of the new responders have had a physical in the previous year.


Merging similar topics.
_________________

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!


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Re: The fire department has two classes of employees, responders   [#permalink] 01 Feb 2013, 03:55
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