Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Save up to 37% this weekend! $340.00 off our 6-month Genius plan using promo code: GREBlackFridayGen $220.00 off our 3-month Premium plan using promo code: GREBlackFridayPre

This webinar will focus on evaluating reading comprehension questions on the GRE and GMAT. This 60 minute class will be a mix of "presentation" and Q&A where students can get specific questions answered.

This admissions guide will help you plan your best route to a PhD by helping you choose the best programs your goals, secure strong letters of recommendation, strengthen your candidacy, and apply successfully.

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

2

This post received KUDOS

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

This post received KUDOS

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 GREATEST 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 = 2(8.5) = 17 which means the range = 17 - 3.7 = 13.3

Case b: The SMALLEST 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 4.100000000000001 For all intents and purposes, let's just say that the a COULD equal 4.1 In this case, 2a = 2(4.1) = 8.2, ...... hold on! Since the numbers are arranged in ascending order 2a must be greater than 9.2. So, it can't be the case that 2a = 8.2 If 2a must be greater than 9.2, a must be greater than 4.6 So, a could equal 4.6000000000000000000000001 So, let's say a = 4.6 In this case, 2a = 2(4.6) = 9.2, which means the range = 9.2 - 3.7 = 5.5

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

Answer: C, D and E

RELATED VIDEO

_________________

Brent Hanneson – Creator of greenlighttestprep.com Sign up for GRE Question of the Dayemails

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

keep in mind that 4.1<a<8.5 so, 2a>9.2 A) 2a-3.7=4 gives a=7.7/2, which is defenitely less than 4 implies a<4.5 which is not possible. b) 2a-3.7=5.2, gives a=8.9/2=4.45 which is valid. but 2*4.45=8.9 which is <9.2 so B is not correct C) same way a=11/2=5.5 which is >4.1 and 2a>9.2 , C is valid. . E) 2a-3.7=12.9, a=16.6/2=8.3 which is valid and preety close to 8.5. so, option E also saying 14.5 will be more than 8.5. neglect option F. hence C,D,E

greprepclubot

Re: The six numbers shown are listed in increasing order. Which
[#permalink]
06 Jun 2020, 11:16