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All the employees in a company are more than 20 years old.

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Senior Manager
Senior Manager
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Joined: 08 Aug 2005
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Kudos [?]: 67 [0], given: 0

All the employees in a company are more than 20 years old. [#permalink]

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New post 09 Aug 2006, 04:01
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

All the employees in a company are more than 20 years old. Is the average of all employees more than 35?

1) 50% of employees are more than 40 years old
2) 25% of employees are more than 60 years old

Kudos [?]: 67 [0], given: 0

Manager
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Joined: 12 Feb 2006
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Kudos [?]: 80 [0], given: 0

 [#permalink]

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New post 09 Aug 2006, 04:38
I'm getting C, but I just did the calculation in my head so I am probably wrong.

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VP
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New post 09 Aug 2006, 08:47
st-ts on their own definitely don't work

and I am getting C

for 1000 employees total:

(500*41+250*61+250*21)/1000=41

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CEO
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Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
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New post 09 Aug 2006, 10:50
C

Let total employees = x
Taking the worst case.

St1: Mean = (40x/2 + 20x/2)/x = 30: INSUFF

St2: Mean = (60x/4 + 20*3x/4)/x = 30: INSUFF

Combined:
Mean = (40x/2+60x/4 + 20x/4) = 20+15+5 = 40. : SUFF
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Kudos [?]: 334 [0], given: 0

Senior Manager
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Joined: 14 Jul 2005
Posts: 398

Kudos [?]: 31 [0], given: 0

 [#permalink]

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New post 09 Aug 2006, 11:05
I am getting C also

50% > 40 and 25% > 60

My question is can the 50%>40 include the above 60 years too ?

Let us say just 4 employees are there

1 > 60 => 61
2 > 40 => 41 + (61 from above)

The other 2 employees are 21 & 21

Hence average (21 + 21 + 41 + 61) /4 = 144/4 = 36

Hence C

Kudos [?]: 31 [0], given: 0

Manager
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 [#permalink]

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New post 09 Aug 2006, 11:09
The answer is (C)


The mean would be te smallest if we pick ages that are the smallest possible, i.e. 21, 41, and 61

ST1. (41n+21n)/(2n) = 31 (Clearly NS)
ST2. (61n+21*3n)/(4n) = 31 (Clearly NS)

ST1 & ST2

The min mean is achieved at

(61n+41n+21*2n)/(4n) = 36 > 35 (So, SUFF)

Kudos [?]: 7 [0], given: 0

  [#permalink] 09 Aug 2006, 11:09
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