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List L consists of the 7 numbers u,-2u,-3u,-4u,-5u,-6u, and

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List L consists of the 7 numbers u,-2u,-3u,-4u,-5u,-6u, and [#permalink] New post 21 Dec 2017, 08:49
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Question Stats:

64% (00:45) correct 36% (00:38) wrong based on 25 sessions
List L consists of the 7 numbers u,-2u,-3u,-4u,-5u,-6u, and -7u, where u≠0.

Quantity A
Quantity B
The median of the 7 numbers in list L
u



A. Quantity A is greater
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.

kudo for the right solution and explanation
[Reveal] Spoiler: OA
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Re: List L consists of the 7 numbers u,-2u,-3u,-4u,-5u,-6u, and [#permalink] New post 08 Jan 2018, 19:33
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Median of u,-2u,-3u,-4u,-5u,-6u, and -7u is -4u

We can test any numbers
if u=-1/2 A is bigger, if u=2 B is bigger
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Re: List L consists of the 7 numbers u,-2u,-3u,-4u,-5u,-6u, and [#permalink] New post 20 Nov 2018, 07:55
The answer must be D, it is true that the median is -4u so if we put u equall to -8 the result will be a positive number which is greater than A, and if we put u equal to a positive number then B is greater than A!!
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Re: List L consists of the 7 numbers u,-2u,-3u,-4u,-5u,-6u, and [#permalink] New post 20 Nov 2018, 08:23
Expert's post
Carcass wrote:
List L consists of the 7 numbers u,-2u,-3u,-4u,-5u,-6u, and -7u, where u≠0.

Quantity A
Quantity B
The median of the 7 numbers in list L
u



A. Quantity A is greater
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.

kudo for the right solution and explanation



A = median of u,-2u,-3u,-4u,-5u,-6u, and -7u = -4u
B = u

so we have to compare u and -4u...
If u is NEGATIVE. -4u>u
If u is POSITIVE, u>-4u

Therefore, the relation cannot be ascertained.

D
_________________

Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

Re: List L consists of the 7 numbers u,-2u,-3u,-4u,-5u,-6u, and   [#permalink] 20 Nov 2018, 08:23
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