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For the list of numbers above, which of the following could be the ran

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For the list of numbers above, which of the following could be the ran  [#permalink]

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New post 06 Jun 2017, 09:27
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

68% (01:24) correct 32% (01:29) wrong based on 100 sessions

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2, 12, -5, 20, x, y

For the list of numbers above, which of the following could be the range?

I. -25

II. 22

III. 32

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

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Re: For the list of numbers above, which of the following could be the ran  [#permalink]

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New post 06 Jun 2017, 09:59
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My take: C
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Re: For the list of numbers above, which of the following could be the ran  [#permalink]

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New post 06 Jun 2017, 10:02
Listing the numbers in order ( as we do not know the values of x and y, they have been placed at the end for now)

-5, 2, 12, 20,x,y



Let's consider that x and y are not part of the above list. Then the Range of the above list becomes 20 - (-5) = 25. Now depending upon the values of x and y the Range of the list can either be more than 25 or be 25.

Let's see the options.

1. -25. As Range is always positive, this option is out.

2. 22. As shown above, that the minimum range will be 25. This option is out.

3. 32. This could be a possible range.

Answer is C. III only
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Re: For the list of numbers above, which of the following could be the ran  [#permalink]

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New post 06 Jun 2017, 10:08
Since we are given 4 numbers (2, 12, -5, 20) the range of these numbers are 25(20-(-5))
So, whatever the value we assume for both x and y, we cannot have 22 as a range.
However if we assume -12 as a value for x, we can have the range 32.
-25 as a range is also not possible for the same reason(i.e we can't have a range lesser than 25) (Option C)
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Re: For the list of numbers above, which of the following could be the ran  [#permalink]

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New post 06 Jun 2017, 10:12
quantumliner wrote:
Listing the numbers in order ( as we do not know the values of x and y, they have been placed at the end for now)

-5, 2, 12, 20,x,y



Let's consider that x and y are not part of the above list. Then the Range of the above list becomes 20 - (-5) = 25. Now depending upon the values of x and y the Range of the list can either be more than 25 or be 25.

Let's see the options.

1. -25. As Range is always positive, this option is out.

2. 22. As shown above, that the minimum range will be 25. This option is out.

3. 32. This could be a possible range.

Answer is C. III only



Why minimum range will be 20. We can place X & Y anywhere in the list. say X = 10 and Y = 24 Range = 24-2 = 22 ??
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Re: For the list of numbers above, which of the following could be the ran  [#permalink]

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New post 06 Jun 2017, 10:19
vishalkumar4mba

I have said the minimum Range will be 25 not 20.

In the example you have given -> X = 10 and Y = 24 , the list will look like -5, 2, 10, 12, 20, 24. So the Range will be 24 - (-5) = 29

So no matter what value of x or y is taken, the Range will be greater than equal to 25
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Re: For the list of numbers above, which of the following could be the ran  [#permalink]

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Re: For the list of numbers above, which of the following could be the ran &nbs [#permalink] 10 Sep 2018, 09:57
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