Last visit was: 12 Jul 2024, 15:05 It is currently 12 Jul 2024, 15:05


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.

for You

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

Your Progress

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


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.


Request Expert Reply

Confirm Cancel

Events & Promotions

Verbal Expert
Joined: 18 Apr 2015
Posts: 29080
Own Kudos [?]: 34063 [1]
Given Kudos: 25479
Send PM
Retired Moderator
Joined: 07 Jan 2018
Posts: 739
Own Kudos [?]: 1392 [2]
Given Kudos: 93
Send PM
Joined: 23 Sep 2019
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Joined: 02 Mar 2020
Posts: 54
Own Kudos [?]: 14 [0]
Given Kudos: 0
Send PM
Re: a > 1 and b > 5 [#permalink]
amorphous wrote:
Let us expand both quantities.
Starting with qty A

\((5b)^a\) can be re-written as \(5^a * b^a\)

qty B is equal to

Let us divide both sides by \(b^a\); remember that \(b\) is positive so when be is raised to any power the result will be +ve.

qty A will equal
while qty B will equal

Since \(b > 5\) ; \(b^a\) will always be greater than \(5^a\) since a is also a +ve no greater than 1

How do we divide by B^a? What I did was took the "a'th root" of each and said that because b>5, b^2 has to be bigger than b*5.
Joined: 22 Feb 2020
Posts: 37
Own Kudos [?]: 20 [0]
Given Kudos: 0
Send PM
Re: a > 1 and b > 5 [#permalink]
Cancel b powers from both quantities, then u will end up with
Quantity A = 5b
Quantity B = b^2

Given b>5
so sub b=6
Quantity A will be 30
Quantity B will be 36

So, Option B is correct
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 4654
Own Kudos [?]: 69 [0]
Given Kudos: 0
Send PM
Re: a > 1 and b > 5 [#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
GRE Instructor
46 posts
GRE Forum Moderator
17 posts
1090 posts
GRE Instructor
218 posts

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