Last visit was: 15 Nov 2024, 01:46 It is currently 15 Nov 2024, 01:46

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: 29960
Own Kudos [?]: 36223 [1]
Given Kudos: 25903
Send PM
avatar
Intern
Intern
Joined: 28 Apr 2019
Posts: 24
Own Kudos [?]: 11 [0]
Given Kudos: 0
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 29960
Own Kudos [?]: 36223 [3]
Given Kudos: 25903
Send PM
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12189 [0]
Given Kudos: 136
Send PM
500% of a equals 500b. a and b are positive. [#permalink]
1
Carcass wrote:
500% of a equals 500b. a and b are positive.

Quantity A
Quantity B
a
b



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


GIVEN: 500% of a = 500b
Rewrite as: (500/100)a = 500b
Simplify: 5a = 500b
Divide both sides by 5 to get: a = 100b

In Quantity A, replace a with 100b to get:
QUANTITY A: 100b
QUANTITY B: b

At this point, it might be clear that Quantity A is greater.
However, if you're not 100% certain, we can subtract b from both quantities to get:
QUANTITY A: 99b
QUANTITY B: 0

Since we're told b is POSITIVE, we know that 99b is POSITIVE
So, Quantity A must be greater.

Answer: A

Cheers,
Brent
avatar
Intern
Intern
Joined: 27 Jan 2019
Posts: 29
Own Kudos [?]: 54 [0]
Given Kudos: 0
Send PM
Re: 500% of a equals 500b. a and b are positive. [#permalink]
Carcass wrote:
500% a = 500 b

\(\frac{500}{100} a = 500 b\)

\(5 a = 500 b\)

Now to balance the equation a = 100 and b = 1

a > b

The answer is a


I think b does not has to equal 1. We have a fraction or ratio. so B could take other values as well as long as the ratio is equal. if a= 200 in which case b have to equal 2.

But the equation is enough to tell us that a is larger than b. a=100b
Verbal Expert
Joined: 18 Apr 2015
Posts: 29960
Own Kudos [?]: 36223 [0]
Given Kudos: 25903
Send PM
Re: 500% of a equals 500b. a and b are positive. [#permalink]
Expert Reply
Yes. You are totally right.

I took as an example only integers. However, fraction should take in account because of the stem does nor specify.

I went straight because the result does not change.

Regards
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5015
Own Kudos [?]: 74 [0]
Given Kudos: 0
Send PM
Re: 500% of a equals 500b. a and b are positive. [#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: 500% of a equals 500b. a and b are positive. [#permalink]
Moderators:
GRE Instructor
78 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

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