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Re: The six numbers shown are listed in increasing order. Which [#permalink]
04 Jul 2016, 21:27

2

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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.

Re: The six numbers shown are listed in increasing order. Which [#permalink]
23 Aug 2016, 14:56

1

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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

Re: The six numbers shown are listed in increasing order. Which [#permalink]
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