If the average (arithmetic mean) of six numbers is 75, how : GMAT Data Sufficiency (DS)
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# If the average (arithmetic mean) of six numbers is 75, how

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If the average (arithmetic mean) of six numbers is 75, how [#permalink]

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21 Feb 2011, 08:40
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If the average (arithmetic mean) of six numbers is 75, how many of the numbers are equal to 75 ?

(1) None of the six numbers is less than 75.
(2) None of the six numbers is greater than 75.
[Reveal] Spoiler: OA

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Re: Average of 6 numbers [#permalink]

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21 Feb 2011, 08:46
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If the average (arithmetic mean) of six numbers is 75, how many of the numbers are equal to 75 ?

Given: sum of six numbers = 6*75

(1) None of the six numbers is less than 75 --> all 6 numbers must be 75, because if even one of them is more than 75 then the sum will be more than 6*75. Sufficient.

(2) None of the six numbers is greater than 75 --> the same here: all 6 numbers must be 75, because if even one of them is less than 75 then the sum will be less then than 6*75. Sufficient.

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Re: Average of 6 numbers [#permalink]

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21 Feb 2011, 08:50
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GMATD11 wrote:
104) If the average of six numbers is 75, how many of the numbers are equal to 75?

a) None of the six numbers is less than 75
b) None of the six numbers is greater than 75

a)none is less than 75 so all numbers are 75 as averagege is 75
b) Noe is greater than 75 so all numbers are 75 as average is 75. If any number become less than 75 then average will not 75 it will less than 75.
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Re: Average of 6 numbers [#permalink]

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21 Feb 2011, 17:57
Both alternatives state that the 6 numbers are 75. Hence, D.
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Re: Average of 6 numbers [#permalink]

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22 Feb 2011, 12:04
GMATD11 wrote:
104) If the average of six numbers is 75, how many of the numbers are equal to 75?

a) None of the six numbers is less than 75
b) None of the six numbers is greater than 75

D! Very obvious from the two options given.
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Re: If the average (arithmetic mean) of six numbers is 75, how [#permalink]

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02 May 2014, 10:12
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Re: If the average (arithmetic mean) of six numbers is 75, how [#permalink]

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17 Jun 2015, 14:00
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Re: If the average (arithmetic mean) of six numbers is 75, how [#permalink]

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02 Aug 2016, 23:47
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Re: If the average (arithmetic mean) of six numbers is 75, how   [#permalink] 02 Aug 2016, 23:47
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