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What is the median of the list above?

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What is the median of the list above?  [#permalink]

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New post 20 Aug 2018, 04:30
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

67% (01:13) correct 33% (01:23) wrong based on 145 sessions

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Re: What is the median of the list above?  [#permalink]

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New post 20 Aug 2018, 04:47
{a, b, c, d}
What is the median of the list above?

(1) The product of no two elements of the list is negative -> [ 1, 2, 3, 4] or [1,1,1,1] NS

(2) The sum of the elements of the list is 0 -> [ -1,0,0,1] [ -2,-1,1,2] : NS

1 & 2 -> C
[ 0 0 0 0] Median = 0
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New post 20 Aug 2018, 04:49
+1 for C.

(1) The product of no two elements of the list is negative
The elements could be positive, zero, non-integer.
Insufficient

(2) The sum of the elements of the list is 0
The elements could be zero or mix of both positive and negative.
Insufficient

Combining both :
All the elements have to be zero in order to fit the condition.
Therefore, Median = 0
Sufficient

Hence, C.
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Re: What is the median of the list above?  [#permalink]

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New post 20 Aug 2018, 10:44
Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION:



{a, b, c, d}
What is the median of the list above?

(1) The product of no two elements of the list is negative

(2) The sum of the elements of the list is 0

Here is my approach.
(1) The product of no two elements of the list is negative --> all the elements of the list have the same sign. The list could be (-1,-1,-1,-1) or (1,1,1,1) --> Not sufficient.
(2) The sum of the elements of the list is 0 --> The list could be (0,0,0,0) or (-1,-1,-1,3) --> Not sufficient.
(1)+(2) : only (0,0,0,0) satisfies --> median = 0 --> Sufficient.
Answer C.
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Re: What is the median of the list above?  [#permalink]

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New post 24 Dec 2018, 01:10
Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION:



{a, b, c, d}
What is the median of the list above?

(1) The product of no two elements of the list is negative

(2) The sum of the elements of the list is 0



#1: (1,1,1,1) , ( 1,2,3,4).. in sufficiet

#2: sum of list is 0 : ( 0,0,0,0) , ( -2,-1,1,2). in sufficient

from 1 & 2:
(0,0,0,0)

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Re: What is the median of the list above?  [#permalink]

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New post 24 Dec 2018, 01:49
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Re: What is the median of the list above?  [#permalink]

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New post 30 Dec 2018, 00:27
Median of the set will be average of the middle two values when all elements are arranged in ascending or descending order.

Statement 1: If product of no two elements of the list is negative, then either all numbers are positive (resulting in product of any two numbers becoming positive) or at least three of those numbers are 0 (resulting in the product of any two numbers becoming 0)

Thus, either median a positive number or 0. Thus, this statement is insufficient


Statement 2: If sum of the elements is 0, either all the elements are 0 or some elements are positive, while other are negative. Let's take examples of the latter case:
Example 1: {-14, 2, 5, 7}
Example 2: {-2, -1, 1, 2}
Since, median in both cases will be different, we cannot come with a unique value.

Hence, this statement is insufficient

Combining 1 & 2: The only way to satisfy both equations is if all elements were 0, resulting in median of 0.

Hence, correct answer is C
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Re: What is the median of the list above?   [#permalink] 30 Dec 2018, 00:27
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