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2x,6.1,5.7,x,2.3

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Carcass
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2x,6.1,5.7,x,2.3 [#permalink] New post   Updated on: 29 Sep 2020, 12:14
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\(2x,6.1,5.7,x,2.3\)


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

Indicate all such values.

A. 2.3

B. 2.7

C. 3.5

D. 4.1

E. 8.3

F. 8.9

G. 9.2

H. 9.8
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Official Answer
D,E,F

Originally posted by Carcass on 28 Sep 2020, 05:15.
Last edited by Carcass on 29 Sep 2020, 12:14, edited 1 time in total.
Edited the OA
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Re: 2x,6.1,5.7,x,2.3 [#permalink] New post   28 Sep 2020, 05:16
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Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!

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Re: 2x,6.1,5.7,x,2.3 [#permalink] New post   28 Sep 2020, 06:38
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carcass bro the answers should be D,E,F
here is my explanation

the range of given sequence is 2x-2.3

as the sequence in decreasing order so

x>3.05 and x<5.7

3.8<2x-2.3<9.1

the answers are D,E,F

please tell me if my approach is wrong
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Re: 2x,6.1,5.7,x,2.3 [#permalink] New post   29 Sep 2020, 12:14
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Where the hell H came from ?? :-D

Thank you so much. Fixed

Regards
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Re: 2x,6.1,5.7,x,2.3 [#permalink] New post   21 Oct 2020, 00:08
How did you get x.3,05 ??
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Re: 2x,6.1,5.7,x,2.3 [#permalink] New post   21 Oct 2020, 00:13
x>3.05 ??? how did you get this ?
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Re: 2x,6.1,5.7,x,2.3 [#permalink] New post   21 Oct 2020, 01:00
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dpraneeth10 wrote:
x>3.05 ??? how did you get this ?


given sequence 2x,6.1,5.7,x,2.3 and they said sequence is in decreasing order

so x<5.7 and 2x>6.1 --> x>3.05

hope this clears your doubt
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Re: 2x,6.1,5.7,x,2.3 [#permalink] New post   27 Oct 2020, 14:34
Two issues:
(1) Range of a data set with unknown variables will be EQUAL or GREATER than the range of the known data points.
Here, known data points= 6.1,5.7,2.3. So the range of the known data points= 6.1-2.3=3.8.
So, the Range of this data set will be EQUAL or GREATER than 3.8. (Cross out option A,B & C)

(2) Given 5.7>x>2.3
or, 11.4>2x>4.6 [Multiplying all by 2]
In this data set, highest point= 2x (which is less than 11.40) and lowest point given=2.3
So, the range must be LESS than (11.40-2.3) i.e. 9.1 [Cross out G & H]

My answer: D,E,F
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