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# If the average (arithmetic mean) of set A is 10,000 and the average (a

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6826
GMAT 1: 760 Q51 V42
GPA: 3.82
If the average (arithmetic mean) of set A is 10,000 and the average (a  [#permalink]

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08 Mar 2017, 00:13
1
1
00:00

Difficulty:

35% (medium)

Question Stats:

68% (00:59) correct 32% (01:14) wrong based on 77 sessions

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If the average (arithmetic mean) of set A is 10,000 and the average (arithmetic mean) of set B is 10,000, what is the range of set A and set B combined?

1) The range of set A is 6,000
2) The range of set B is 3,000

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VP
Joined: 05 Mar 2015
Posts: 1003
If the average (arithmetic mean) of set A is 10,000 and the average (a  [#permalink]

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08 Mar 2017, 04:13
MathRevolution wrote:
If the average (arithmetic mean) of set A is 10,000 and the average (arithmetic mean) of set B is 10,000, what is the range of set A and set B combined?

1) The range of set A is 6,000
2) The range of set B is 3,000

Range is defined as highest no. of set - Lowest no of set

(1) No info of total terms in set A...not suff
(2)No info of total terms in set B...not suff

Ans E
VP
Joined: 05 Mar 2015
Posts: 1003
If the average (arithmetic mean) of set A is 10,000 and the average (a  [#permalink]

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08 Mar 2017, 07:21
vivek2k70 wrote:

Since both individual options are insuff
combined we can have:-

Let set A={ 7000,10000,10000,10000,13000}
set B={ 8500,10000,10000,10000,11500}
Range=6000
or

set A ={6850,10100,10100,10100,12850}
set B= {6800,10100,10100,10100,12900}

Range = 3000

or u can take any such sets....

Thus E
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6826
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: If the average (arithmetic mean) of set A is 10,000 and the average (a  [#permalink]

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10 Mar 2017, 02:11
==> If you modify the original condition and the question, from range= Max-min, you get set A: Ra =Ma-ma and set B: Rb=Mb-mb. Then, there are 6 variables and 2 equations, and in order to match the number of variables to the number of equations, there must be 4 more equations. Since there is 1 for con 1) and 1 for con 2), E is most likely to be the answer. By solving con 1) and con 2), the answer becomes E as well. Also, there is no relationship between the average and the range, and thus the answer is definitely E.

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Re: If the average (arithmetic mean) of set A is 10,000 and the average (a &nbs [#permalink] 10 Mar 2017, 02:11
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