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# A list contains only integers. Are there more positive than

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Intern
Joined: 26 Jun 2012
Posts: 24
Location: Germany
GMAT 1: 570 Q31 V39
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A list contains only integers. Are there more positive than  [#permalink]

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21 Jul 2013, 09:33
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Difficulty:

55% (hard)

Question Stats:

55% (01:32) correct 45% (01:14) wrong based on 262 sessions

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A list contains only integers. Are there more positive than negative integers in the list?

(1) The median of the numbers in the list is positive.

(2) The average (arithmetic mean) of the numbers in the list is positive.
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Joined: 02 Sep 2009
Posts: 54371
Re: A list contains only integers. Are there more positive than  [#permalink]

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21 Jul 2013, 09:38
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kingflo wrote:
A list contains only integers. Are there more positive than negative integers in the list?

(1) The median of the numbers in the list is positive.

(2) The average (arithmetic mean) of the numbers in the list is positive.

Straight E:
{1, 1} - the answer is YES.
{-1, 10} - the answer is NO.
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Joined: 23 May 2013
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Re: A list contains only integers. Are there more positive than  [#permalink]

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13 Feb 2014, 04:48
kingflo wrote:
A list contains only integers. Are there more positive than negative integers in the list?

(1) The median of the numbers in the list is positive.

(2) The average (arithmetic mean) of the numbers in the list is positive.

This is Yes/No question.

By 1 : we know that median is positive. So there can be equal numbers of -ve and +ve number or there can be more +ve than -ve. So this is not sufficient
By 2 : we know that mean is positive. Numbers can be -3,-2, 8 and the mean can be +ve but number of -ve can be greater than +ve. So even this is not sufficient

Now combining both : Median and Mean is positive

lets assume the list as (-1,2). Median and Mean both are positive but number is equal. So no definitive answer

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Re: A list contains only integers. Are there more positive than  [#permalink]

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11 Sep 2017, 03:01
kingflo wrote:
A list contains only integers. Are there more positive than negative integers in the list?

(1) The median of the numbers in the list is positive.

(2) The average (arithmetic mean) of the numbers in the list is positive.

Pretty tricky- just gotta remember that the median can also be the average of two numbers in a set with an even number of items

E
Re: A list contains only integers. Are there more positive than   [#permalink] 11 Sep 2017, 03:01
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