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The six numbers shown are listed in increasing order. Which

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The six numbers shown are listed in increasing order. Which [#permalink] New post 24 Jun 2016, 12:54
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Question Stats:

55% (01:07) correct 44% (01:38) wrong based on 9 sessions
3.7, 4.1, a, 8.5, 9.2, 2a

The six numbers shown are listed in increasing order. Which of the following values could be the range of the six numbers?

Indicate all such values.

A 4.0
B 5.2
C 7.3
D 11.6
E 12.9
F 14.1

[Reveal] Spoiler: OA
C,D,E
[Reveal] Spoiler: OA
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Re: The six numbers shown are listed in increasing order. Which [#permalink] New post 04 Jul 2016, 21:27
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The minimum 2a can take is 9.2 and maximum value a can take is 8.5, hence 2a can take is 17. So the minimum range will be 9.2 - 3.7 = 5.5 and maximum range is 17 - 3.5 = 13.5; So C,D,E fits between 5.5 and 13.5, hence answers.
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Re: The six numbers shown are listed in increasing order. Which [#permalink] New post 23 Aug 2016, 14:56
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Expert's post
Kapoorritika wrote:
3.7, 4.1, a, 8.5, 9.2, 2a

The six numbers shown are listed in increasing order. Which of the following values could be the range of the six numbers?

Indicate all such values.

A 4.0
B 5.2
C 7.3
D 11.6
E 12.9
F 14.1


Let's examine the two EXTREME values of a.

Case a: The SMALLEST value of a
If the values are strictly increasing (i.e., no values are equal), then a could be a little bit smaller than 8.5.
So, a could equal 8.499999999999
For all intents and purposes, let's just say that the a COULD equal 8.5
In this case, 2a = 9.2, which means the range = 5.5

Case b: The GREATEST value of a
If the values are strictly increasing (i.e., no values are equal), then a could be a little bit bigger than 4.1.
So, a could equal 4.10000000001
For all intents and purposes, let's just say that the a COULD equal 4.1
In this case, 2a = 17, which means the range = 13.3

Now that we've examined the EXTREME cases, we can see that the range can be between 5.5 and 13.3

Answer(s):
[Reveal] Spoiler:
C, D and E


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Re: The six numbers shown are listed in increasing order. Which [#permalink] New post 12 Sep 2017, 07:00
GreenlightTestPrep wrote:

Let's examine the two EXTREME values of a.

Case a: The SMALLEST value of a
If the values are strictly increasing (i.e., no values are equal), then a could be a little bit smaller than 8.5.
So, a could equal 8.499999999999
For all intents and purposes, let's just say that the a COULD equal 8.5
In this case, 2a = 9.2, which means the range = 5.5

Case b: The GREATEST value of a
If the values are strictly increasing (i.e., no values are equal), then a could be a little bit bigger than 4.1.
So, a could equal 4.10000000001
For all intents and purposes, let's just say that the a COULD equal 4.1
In this case, 2a = 17, which means the range = 13.3

Now that we've examined the EXTREME cases, we can see that the range can be between 5.5 and 13.3

Answer(s):
[Reveal] Spoiler:
C, D and E



If in the first case a = 8.5, how could it be that 2a = 9.2? And the same is in the second case, a = 4.1, how 2a could be equal to 17?
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Re: The six numbers shown are listed in increasing order. Which [#permalink] New post 04 Sep 2018, 18:49
We need to find the range here.
the range will be bigger than 9.2 - 3.7 = 5.5
and smaller than 8.5*2 = 17 - 3.7 = 13.25.
Re: The six numbers shown are listed in increasing order. Which   [#permalink] 04 Sep 2018, 18:49
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The six numbers shown are listed in increasing order. Which

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