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

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07 May 2012, 09:05

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Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

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

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15 Sep 2012, 07:25

Bunuel wrote:

Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

Bunuel... nice way to explain.

However, don't you think statement A and B contradicts each other.

For example, As per statement 1, 5 numbers are multiple of 10; hence average should be mid number. (In your list 30 is the average)

As per statement 2, The average is 160/5 = 32. Now 32 is not the multiple of 10. By no means we can get 32 as average and 5 numbers multiple of 10

Please explain, am I missing something as this is GMAT prep problem _________________

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

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15 Sep 2012, 08:14

Expert's post

nishtil wrote:

Bunuel wrote:

Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

Bunuel... nice way to explain.

However, don't you think statement A and B contradicts each other.

For example, As per statement 1, 5 numbers are multiple of 10; hence average should be mid number. (In your list 30 is the average)

As per statement 2, The average is 160/5 = 32. Now 32 is not the multiple of 10. By no means we can get 32 as average and 5 numbers multiple of 10

Please explain, am I missing something as this is GMAT prep problem

We are not told that the integers are evenly spaced so it's not necessary that the average is the middle number (in my example, yes, I consider evenly spaced set, but it's just one of the cases). For example the set could be 10, 20, 30, 40, and 60 --> sum=160 --> average=160/5=32.

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

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25 Dec 2012, 14:36

Bunuel wrote:

Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

why cannot we consider 0,10,20,30,40? Isn't 0 taken as both positive and negative?

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

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26 Dec 2012, 03:38

Expert's post

Amateur wrote:

Bunuel wrote:

Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

why cannot we consider 0,10,20,30,40? Isn't 0 taken as both positive and negative?

Positive numbers are greater than zero and negative numbers are less than zero. Zero is neither positive nor negative. _________________

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

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20 Jan 2013, 07:04

Bunuel wrote:

Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

The way I understood statement 1 is that since each of the integers is a multiple of 10 it could be: 10, 20, 20, 20, 20. How do you know that it must be increasing in order? (probably just a language issue).

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

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15 Jun 2013, 07:17

Bunuel wrote:

Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

One question: is zero not considered as a multiple of any number?

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

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15 Jun 2013, 07:22

Expert's post

BankerRUS wrote:

Bunuel wrote:

Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

One question: is zero not considered as a multiple of any number?

Yes, 0 is a multiple of every integer except 0 itself. _________________

Is the average of 5 different positive intergers at least 30?

1) Each of the intergers is a multiple of 10. 2) The sum of the 5 integers is 160.

The right answer is: each statement alone is sufficient, but I don´t get it why answer 1) could solve this problem? If I have 5x 10 (10 is also a possible multiple, then I got 50:5 = 10 and not 30) ?

Is the average of 5 different positive intergers at least 30?

1) Each of the intergers is a multiple of 10. 2) The sum of the 5 integers is 160.

The right answer is: each statement alone is sufficient, but I don´t get it why answer 1) could solve this problem? If I have 5x 10 (10 is also a possible multiple, then I got 50:5 = 10 and not 30) ?

Thank you in advance.

Merging similar topics. Please refer to the discussion above and ask if anything remains unclear.

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

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25 Aug 2015, 10:22

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

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01 Sep 2015, 20:23

Hi Bunuel, can we consider 0 as multiple of 10?

Bunuel wrote:

Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

_________________

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

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01 Sep 2015, 20:36

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sunita123 wrote:

Hi Bunuel, can we consider 0 as multiple of 10?

Bunuel wrote:

Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

0 is a multiple of all positive integers. _________________

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

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01 Sep 2015, 21:04

Right. so why we are not considering , 0,10,20,30 & 40 here?

Engr2012 wrote:

sunita123 wrote:

Hi Bunuel, can we consider 0 as multiple of 10?

Bunuel wrote:

Is the average (arithmetic mean) of 5 different positive integers at least 30?

It's almost always better to express the average in terms of the sum. The question basically asks whether the sum of 5 different positive integers is at least 5*30=150.

(1) Each of the integers is a multiple of 10 --> the least values of these 5 different positive integers are: 10, 20, 30, 40, and 50 --> the sum = 150. Sufficient.

(2) The sum of the 5 integers is 160. Directly answers the question. Sufficient.

Answer: D.

0 is a multiple of all positive integers.

_________________

--------------------------------------------------------------------------------------------- Kindly press +1 Kudos if my post helped you in any way

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