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# Is the average (arithmetic mean) of 5 different positive

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SVP
Joined: 21 Jul 2006
Posts: 1513

Kudos [?]: 978 [0], given: 1

Is the average (arithmetic mean) of 5 different positive [#permalink]

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10 Dec 2007, 13:03
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Is the average (arithmetic mean) of 5 different positive integers at least 30?

(1) Each of the integers is a multiple of 10

(2) The sum of the 5 integers is 160

Kudos [?]: 978 [0], given: 1

Director
Joined: 12 Jul 2007
Posts: 857

Kudos [?]: 327 [0], given: 0

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10 Dec 2007, 13:26
1. The lowest integers that would work are 10, 20, 30, 40, 50 which give you an average of 30. A is sufficient.

2. 160/5 = 32 which is at least 30 so B is sufficient

does 0 ever count as a multiple of a number?

Kudos [?]: 327 [0], given: 0

Manager
Joined: 29 Jul 2007
Posts: 182

Kudos [?]: 36 [0], given: 0

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10 Dec 2007, 13:43
eschn3am wrote:
1. The lowest integers that would work are 10, 20, 30, 40, 50 which give you an average of 30. A is sufficient.

2. 160/5 = 32 which is at least 30 so B is sufficient

does 0 ever count as a multiple of a number?

It does. for instance, how many multiples of 3 are there between -10 and 10?

There are 7 multiples of 3: -9,-6,-3 0 ,3, 6, 9

Kudos [?]: 36 [0], given: 0

Director
Joined: 12 Jul 2007
Posts: 857

Kudos [?]: 327 [0], given: 0

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10 Dec 2007, 13:48
Skewed wrote:
eschn3am wrote:
1. The lowest integers that would work are 10, 20, 30, 40, 50 which give you an average of 30. A is sufficient.

2. 160/5 = 32 which is at least 30 so B is sufficient

does 0 ever count as a multiple of a number?

It does. for instance, how many multiples of 3 are there between -10 and 10?

There are 7 multiples of 3: -9,-6,-3 0 ,3, 6, 9

good to know. My answer is still D because it says 5 different positive integers, but that'll be useful in the future I'm sure.

Kudos [?]: 327 [0], given: 0

10 Dec 2007, 13:48
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