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The five numbers shown are listed in decreasing order. Which of the

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Bunuel
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The five numbers shown are listed in decreasing order. Which of the [#permalink] New post   09 Feb 2023, 02:30
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A
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C
D
E

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35% (medium)

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71% (02:06) correct 29% (01:41) wrong based on 51 sessions
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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?

I. 4.1
II. 8.9
III. 9.2

A. I only
B. III only
C. I and II only
D. I and III only
E. I, II and III



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C
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Re: The five numbers shown are listed in decreasing order. Which of the [#permalink] New post   09 Feb 2023, 07:17
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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?
Range = 2x - 2.3

I. 2x - 2.3 = 4.1
x = 6.4/2 = 3.2. so x lies between 5.7 and 2.3. I is possible range.
II. 2x - 2.3 = 8.9
x = 11.2/2 = 5.6. so x lies between 5.7 and 2.3. II is possible range.
III. 2x - 2.3 = 9.2
x = 11.5/2 = 5.75. So x is greater that 5.7 hence III is not a possible range.

Therefore I and II is correct.
Answer C
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Re: The five numbers shown are listed in decreasing order. Which of the [#permalink] New post   09 Mar 2023, 22:46
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Bunuel wrote:
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?
I. 4.1
II. 8.9
III. 9.2
A. I only
B. III only
C. I and II only
D. I and III only
E. I, II and III

Solution:

  • From the given data, \(range=2x-2.3\)
  • And \(5.7>x>2.3\)
    \(⇒11.4>2x>4.6\)
  • We know \(2x>6.1\)
    \(⇒11.4>2x>6.1\)
    \(⇒11.4-2.3>2x-2.3>6.1-2.3\)
    \(⇒9.1>2x-2.3>3.8\)
    \(⇒9.1>range>3.8\)
  • 4.1 and 8.9 can be the range

Hence the right answer is Option C
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Re: The five numbers shown are listed in decreasing order. Which of the [#permalink] New post   09 Mar 2023, 23:27
Given:
2x, 6.1, 5.7, x, 2.3
The five numbers shown are listed in decreasing order.

Asked: Which of the following values could be the range of the six numbers?

I. 4.1: Range = 2x- 2.3 = 4.1; x = 3.2; Possible
II. 8.9; Range = 2x - 2.3 = 8.9; x = 5.6; Possible
III. 9.2; Range = 2x - 2.3 = 9.2; x = 5.75; Not possible since 5.75 > 5.7

A. I only
B. III only
C. I and II only
D. I and III only
E. I, II and III

IMO C
GMAT Club Bot
gmatclubot
Re: The five numbers shown are listed in decreasing order. Which of the [#permalink]
09 Mar 2023, 23:27
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