Last visit was: 22 Nov 2024, 07:37 It is currently 22 Nov 2024, 07:37

Close

GRE Prep Club Daily Prep

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 GRE 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.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 30003
Own Kudos [?]: 36350 [17]
Given Kudos: 25927
Send PM
Most Helpful Expert Reply
User avatar
Retired Moderator
Joined: 07 Jun 2014
Posts: 4812
Own Kudos [?]: 11194 [16]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
General Discussion
avatar
Intern
Intern
Joined: 13 Dec 2017
Posts: 2
Own Kudos [?]: 3 [0]
Given Kudos: 0
Send PM
User avatar
Manager
Manager
Joined: 26 Jun 2017
Posts: 102
Own Kudos [?]: 71 [0]
Given Kudos: 0
Send PM
Re: List L consists of the numbers [#permalink]
2
what if the number, X is not an integer, I wonder if in every cases, the output is the same?
avatar
Intern
Intern
Joined: 07 Feb 2018
Posts: 13
Own Kudos [?]: 2 [0]
Given Kudos: 0
Send PM
Re: List L consists of the numbers [#permalink]
I support to Answer: A
avatar
Manager
Manager
Joined: 22 Feb 2018
Posts: 163
Own Kudos [?]: 214 [0]
Given Kudos: 0
Send PM
Re: List L consists of the numbers [#permalink]
1
correct : A
The range of a list is the difference between the highest and the lowest value in the list.
1, \sqrt{2},X and X^2 is the numbers.
in these numbers, as x is not negative, \sqrt{2} can't be minimum as there is '1' in the list, so we ignore \sqrt{2}
for having the range 4 either x^2-1 = 4 or x-1 = 3. if x-1=3 then x = 5 and then x^2 which exists in list equals 25 and therefore the range will be 25-1=24. So x^2 - 1 = 4. and so x= \sqrt{2} which is more than 2.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12196 [0]
Given Kudos: 136
Send PM
Re: List L consists of the numbers [#permalink]
1
boxing506 wrote:
what if the number, X is not an integer, I wonder if in every cases, the output is the same?


In the above question, x is not an integer (x = √5 ≈ 2.2)
So, that answers your question :-D

Cheers,
Brent
avatar
Intern
Intern
Joined: 13 Jun 2018
Posts: 26
Own Kudos [?]: 3 [0]
Given Kudos: 0
Send PM
Re: List L consists of the numbers [#permalink]
can be solved in the mind
Manager
Manager
Joined: 09 Jan 2020
Posts: 112
Own Kudos [?]: 274 [0]
Given Kudos: 97
Send PM
Re: List L consists of the numbers [#permalink]
1
aceGRE21 wrote:
Hi @Sandy,

I am NOT sure with the possibility 2, [Can you please review my reasoning, as your solution is not making sense to me for the possibility 2 though that is NOT possible in the above question as X>0 given in the question, but still I wanted to clear my doubt]

Possibility 2: −2.5858 (low) to 1.4142 (high) [1.4142 − 4 = −2.5858]

Here, you have assumed X = -2.5858, that is, X is NEGATIVE. But then X^2 will be positive and 6.6863 will be the value of X^2, therefore,
Range = 6.6863 - (-2.5858) = 9.272 which is GREATER THAN 4.

Thus, X=-2.5858 is never possible. Can you please review?


I agree, possibility 2 does not make any sense whatsoever. Knowing that the range is 4 and getting the largest known number (in this case: square root of 2) subtract by 4 to find x does make sense, but then we do have X^2 in the list which will be larger than the square root of 2, making the actual range larger than 4.

For this question, the condition that x>0 should be relied upon to solve. If you missed it, then your answer would be wrong. That's it
avatar
Intern
Intern
Joined: 24 Mar 2020
Posts: 34
Own Kudos [?]: 7 [0]
Given Kudos: 0
Send PM
Re: List L consists of the numbers [#permalink]
not the easiest problem but got it rigth
avatar
Intern
Intern
Joined: 19 May 2020
Posts: 6
Own Kudos [?]: 11 [4]
Given Kudos: 0
Send PM
Re: List L consists of the numbers [#permalink]
4
let's say X=2,
then, increment arrangement goes 1,√2,2,4.
so, range =4-1=3 but the question tells us that the range is 4.
to get the range 4 ,X should be more than 2. hence X is greater.
Intern
Intern
Joined: 04 May 2021
Posts: 6
Own Kudos [?]: 1 [0]
Given Kudos: 18
Send PM
Re: List L consists of the numbers [#permalink]
GreenlightTestPrep wrote:
boxing506 wrote:
what if the number, X is not an integer, I wonder if in every cases, the output is the same?


In the above question, x is not an integer (x = √5 ≈ 2.2)
So, that answers your question :-D

Cheers,
Brent



how do we know 1 is the least number in the list. since x > 0 , it could be 0.2 ,0.5 .....
then the answer changes right ?
Retired Moderator
Joined: 02 Dec 2020
Posts: 1831
Own Kudos [?]: 2146 [0]
Given Kudos: 140
GRE 1: Q168 V157

GRE 2: Q167 V161
Send PM
Re: List L consists of the numbers [#permalink]
Hey aliceeee,

You are right. \(X\) can be any value \(> 0\)
BUT
we are given the range of \(4\). So we can't take \(x = 0.2 or 0.5\)

Hope this answers your question. Please ask if the doubt remains.
aliceeee wrote:
GreenlightTestPrep wrote:
boxing506 wrote:
what if the number, X is not an integer, I wonder if in every cases, the output is the same?


In the above question, x is not an integer (x = √5 ≈ 2.2)
So, that answers your question :-D

Cheers,
Brent



how do we know 1 is the least number in the list. since x > 0 , it could be 0.2 ,0.5 .....
then the answer changes right ?
Target Test Prep Representative
Joined: 12 Sep 2018
Status:Founder & CEO, Target Test Prep
Affiliations: Target Test Prep
Posts: 1477
Own Kudos [?]: 5906 [2]
Given Kudos: 5
Send PM
Re: List L consists of the numbers [#permalink]
Expert Reply
2
Bookmarks
Carcass wrote:

This question is a part of PowerPrep Question Collection



List L consists of the numbers \(1\), \(\sqrt{2}\), \(X\) and \(X^2\), where X > 0, and the range of the numbers in list L is 4.

Quantity A
Quantity B
X
2


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Solution:


We are given that list L contains the numbers 1, √2, X, and X^2.

Since we have a range of 4 and since 1 is the smallest number, we need the largest number in the list to be 5. We see that either X or X^2 could be 5. However, if X = 5, then X^2 = 25, and the range will not be 4. Therefore, X^2 must be 5, and X will then be √5.

Finally, since X = √5 > √4 = 2, Quantity A is greater than Quantity B.

Answer: A
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5035
Own Kudos [?]: 74 [0]
Given Kudos: 0
Send PM
Re: List L consists of the numbers [#permalink]
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
Re: List L consists of the numbers [#permalink]
Moderators:
GRE Instructor
84 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne