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How many employees are there in Company X? (1) If an employee is to be

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Math Expert
Joined: 02 Sep 2009
Posts: 53725
How many employees are there in Company X? (1) If an employee is to be  [#permalink]

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24 Oct 2018, 05:17
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Difficulty:

25% (medium)

Question Stats:

70% (01:00) correct 30% (01:17) wrong based on 63 sessions

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How many employees are there in Company X?

(1) If an employee is to be chosen at random from the company, the probability that the employee chosen will be a male is 4/7.
(2) There are 10 more males in the company than females.

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Joined: 19 Oct 2013
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Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: How many employees are there in Company X? (1) If an employee is to be  [#permalink]

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24 Oct 2018, 06:05
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Bunuel wrote:
How many employees are there in Company X?

(1) If an employee is to be chosen at random from the company, the probability that the employee chosen will be a male is 4/7.
(2) There are 10 more males in the company than females.

From statement 1) the probability is basically M/(M+F) = 4/7

so we know the ratio is male:female:total equals to 4:3:7

We cannot tell if there are a total of 7 employees or any other multiples of 7. It could be 14, 21 not sufficient.

Eliminate A/D

Statement 2) tells us M =10 + F

if F = 1 then M = 11 and total is 11

Since we don't have any information on the number this is insufficient.

Eliminate B

Combined we get 4x = 10 + 3x

x = 10

Total employees = 7*x = 7*10 = 70

Sufficient.

Re: How many employees are there in Company X? (1) If an employee is to be   [#permalink] 24 Oct 2018, 06:05
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