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# In Company X, are more than 1/4 of the employees over 55 years of age?

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Math Expert
Joined: 02 Sep 2009
Posts: 50711
In Company X, are more than 1/4 of the employees over 55 years of age?  [#permalink]

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16 Oct 2018, 23:33
1
2
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Difficulty:

15% (low)

Question Stats:

76% (01:07) correct 24% (00:36) wrong based on 46 sessions

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In Company X, are more than 1/4 of the employees over 55 years of age?

(1) Exactly 40 percent of the female employees are over 50 years of age, and, of them, 2/5 are over 55 years of age.
(2) Exactly 20 male employees are over 55 years of age.

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Joined: 15 Feb 2018
Posts: 83
Re: In Company X, are more than 1/4 of the employees over 55 years of age?  [#permalink]

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23 Oct 2018, 18:52
are ≥0.25e >55yo

1)f is a subset of e. and, of them means 2/5·40%=16%.
Must be a whole number of people. At a minimum this is 4 females from a total of 25 (as 0.16=16/100=4/25)
Don't know numbers concerning men. Insufficient

2) 20 men are over 55. Don't know total number of men. Don't know numbers concerning females.
Insufficient

Together
Assume all men are over 55

$$\frac{(20+4)}{(20+25)}$$=$$\frac{24}{45}$$ which is greater than half, so greater than 0.25

$$\frac{(20+4)}{(9999999+25)}$$ is well below 0.25

Insufficient
E
Re: In Company X, are more than 1/4 of the employees over 55 years of age? &nbs [#permalink] 23 Oct 2018, 18:52
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