GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 17 Aug 2018, 00:23

Close

GMAT 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 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.

Close

Request Expert Reply

Confirm Cancel

If y > 0 and x is y percent of y, then, in terms of y, y is what

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Senior Manager
Senior Manager
avatar
P
Joined: 14 Oct 2015
Posts: 252
GPA: 3.57
Reviews Badge
If y > 0 and x is y percent of y, then, in terms of y, y is what  [#permalink]

Show Tags

New post 22 Jul 2017, 00:08
1
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

71% (01:35) correct 29% (01:49) wrong based on 75 sessions

HideShow timer Statistics

If y > 0 and x is y percent of y, then, in terms of y, y is what percent of x ?

A - \(\frac{1}{y}\)

B - \(\frac{1}{100y}\)

C - \(100y\)

D - \(\frac{10000}{y}\)

E - \(\frac{1}{10000y}\)

I searched but i could only find similar questions, not this exact one. If its a repost, please feel free to merge.

_________________

Please hit Kudos if this post helped you inch closer to your GMAT goal.
Procrastination is the termite constantly trying to eat your GMAT tree from the inside.
There is one fix to every problem, working harder!

Senior Manager
Senior Manager
User avatar
G
Joined: 06 Jul 2016
Posts: 415
Location: Singapore
Concentration: Strategy, Finance
GMAT ToolKit User Premium Member
If y > 0 and x is y percent of y, then, in terms of y, y is what  [#permalink]

Show Tags

New post 22 Jul 2017, 00:33
1
jedit wrote:
If y > 0 and x is y percent of y, then, in terms of y, y is what percent of x ?

A - \(\frac{1}{y}\)

B - \(\frac{1}{100y}\)

C - \(100y\)

D - \(\frac{10000}{y}\)

E - \(\frac{1}{10000y}\)

I searched but i could only find similar questions, not this exact one. If its a repost, please feel free to merge.


We can solve it 2 ways, either by plugging values, or doing algebra.

x = \(\frac{y^2}{100}\)

y = \(\frac{a}{100}\)*x
=> a = \(\frac{y*100}{x}\)
=> a = \(\frac{10000}{y}\)

Answer is D.

Alternatively.

Let y = 100
100% of 100 = 100 = x
100 = a% of 100
=> a = 100
So we can plug values of y in the given options below to see which one works.

A - \(\frac{1}{100}\) - NO
B - Even Smaller - NO
C - 100*100 - NO
D - \(\frac{10000}{100}\) = 100 - YES
E - NO its way too small.

D is the answer.
_________________

Put in the work, and that dream score is yours!

SVP
SVP
User avatar
P
Joined: 08 Jul 2010
Posts: 2138
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: If y > 0 and x is y percent of y, then, in terms of y, y is what  [#permalink]

Show Tags

New post 22 Jul 2017, 01:06
jedit wrote:
If y > 0 and x is y percent of y, then, in terms of y, y is what percent of x ?

A - \(\frac{1}{y}\)

B - \(\frac{1}{100y}\)

C - \(100y\)

D - \(\frac{10000}{y}\)

E - \(\frac{1}{10000y}\)

I searched but i could only find similar questions, not this exact one. If its a repost, please feel free to merge.



x is y percent of y

i.e. x = (y/100)*y = y^2/100


y is what percent of x
let y is a percent of x
i.e. y = (a/100)*x
i.e. a = 100y/x = 100y/[y^2/100] = 10000/y

Answer: Option D
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47946
Re: If y > 0 and x is y percent of y, then, in terms of y, y is what  [#permalink]

Show Tags

New post 22 Jul 2017, 02:00
jedit wrote:
If y > 0 and x is y percent of y, then, in terms of y, y is what percent of x ?

A - \(\frac{1}{y}\)

B - \(\frac{1}{100y}\)

C - \(100y\)

D - \(\frac{10000}{y}\)

E - \(\frac{1}{10000y}\)

I searched but i could only find similar questions, not this exact one. If its a repost, please feel free to merge.


This is a copy of the following OG question: https://gmatclub.com/forum/if-m-0-and-x ... 03387.html
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Director
Director
avatar
S
Joined: 21 Mar 2016
Posts: 534
Reviews Badge
Re: If y > 0 and x is y percent of y, then, in terms of y, y is what  [#permalink]

Show Tags

New post 22 Jul 2017, 03:02
x is y percent of y
x = (y/100)*y = y^2/100


let y is a percent of x
y = (a/100)*x
a = 100y/x = 100y/[y^2/100] = 10000/y

ans D
Intern
Intern
User avatar
B
Joined: 06 Feb 2017
Posts: 26
Schools: ISB '19, IIMA
If y > 0 and x is y percent of y, then, in terms of y, y is what  [#permalink]

Show Tags

New post 22 Jul 2017, 04:07
it is given that x is y percent of y, so lets assume x=25 and y=50. So we get, 25(i.e. x) is 50%(i.e. y%) of 50(i.e. y).
Now clearly y is 200% of x. Put the values of x and y in options and select the one which gives 200 as answer. Only option D will fit.
Hence D
Manager
Manager
avatar
S
Joined: 23 Jul 2015
Posts: 162
GMAT ToolKit User
Re: If y > 0 and x is y percent of y, then, in terms of y, y is what  [#permalink]

Show Tags

New post 22 Jul 2017, 05:53
x = y%*y
=y/100 * y (here y/100 is the multiplier)
y = (100/y) * x ( where, 100/y is the multiplier)
y = (100/y)*x * 100 (convert to percent unit)
y = (10000/y) % of x
SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 1903
Premium Member CAT Tests
If y > 0 and x is y percent of y, then, in terms of y, y is what  [#permalink]

Show Tags

New post 23 Jul 2017, 06:54
1
jedit wrote:
If y > 0 and x is y percent of y, then, in terms of y, y is what percent of x ?

A - \(\frac{1}{y}\)

B - \(\frac{1}{100y}\)

C - \(100y\)

D - \(\frac{10000}{y}\)

E - \(\frac{1}{10000y}\)

I chose numbers, and chose y = 20 so that I could avoid working with values similar to those in the answer choices.

Let y = 20. x is y percent of y. x is 20% of 20

x = .2 * 20
x = 4

y is what percent of x?

\(\frac{y}{x}\) * 100 =

\(\frac{20}{4}\) = 5 * 100 = 500%

We're looking for the answer that yields 500 when y = 20.

(I used the percent sign in calculations, but only to keep values clear. When looking for the answer, I look only for the raw number of 500 because "percent" is included in the prompt's final clause. In other words, don't tack on an extra "times 100.")

Answer choices A, B, and E can be eliminated immediately. They are fractions with 20 in the denominator, which are tiny regardless and tiny when compared to 500.

C. 100y: too large. 20 * 100 = 2,000. Eliminate

D. \(\frac{10,000}{y}\) = \(\frac{10,000}{20}\) = 500. Correct.

Answer D
_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 7733
Premium Member
Re: If y > 0 and x is y percent of y, then, in terms of y, y is what  [#permalink]

Show Tags

New post 24 Jul 2018, 22:06
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: If y > 0 and x is y percent of y, then, in terms of y, y is what &nbs [#permalink] 24 Jul 2018, 22:06
Display posts from previous: Sort by

If y > 0 and x is y percent of y, then, in terms of y, y is what

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.