It is currently 17 Jan 2018, 03:12

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If X is the hundredths digit in the decimal 0.1X and if Y is the thous

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

Hide Tags

Top Contributor
Director
Director
User avatar
B
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 564

Kudos [?]: 3275 [0], given: 220

Location: Bangladesh
Concentration: Finance, Leadership
GPA: 2.81
WE: Business Development (Real Estate)
If X is the hundredths digit in the decimal 0.1X and if Y is the thous [#permalink]

Show Tags

New post 16 Jun 2017, 08:04
Top Contributor
11
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

60% (01:09) correct 40% (01:15) wrong based on 581 sessions

HideShow timer Statistics

If X is the hundredths digit in the decimal 0.1X and if Y is the thousandths digit in the decimal 0.02Y ,where X and Y are nonzero digits,which of the following is closest to the greatest possible value of \(\frac{0.1X}{0.02Y}\) ?

A. 4
B. 5
C. 6
D. 9
E. 10
[Reveal] Spoiler: OA

_________________

Md. Abdur Rakib

Please Press +1 Kudos,If it helps
Sentence Correction-Collection of Ron Purewal's "elliptical construction/analogies" for SC Challenges

Kudos [?]: 3275 [0], given: 220

2 KUDOS received
BSchool Forum Moderator
User avatar
D
Joined: 26 Feb 2016
Posts: 1799

Kudos [?]: 821 [2], given: 22

Location: India
Concentration: General Management, Leadership
WE: Sales (Retail)
Premium Member CAT Tests
If X is the hundredths digit in the decimal 0.1X and if Y is the thous [#permalink]

Show Tags

New post 16 Jun 2017, 09:40
2
This post received
KUDOS
1
This post was
BOOKMARKED
\(\frac{0.1X}{0.02Y}\) = \(\frac{0.1+0.0X}{0.02+0.00Y}\)

For the largest value to this expression, x must be maximum and y minimum
If x=9,y=1

Expression become \(\frac{0.1+0.09}{0.02+0.001}\) = \(\frac{0.19}{0.021}\) = approximately 9(Option D)
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

Class of 2020: Rotman Thread | Schulich Thread
Class of 2019: Sauder Thread

Kudos [?]: 821 [2], given: 22

1 KUDOS received
DS Forum Moderator
avatar
S
Joined: 21 Aug 2013
Posts: 655

Kudos [?]: 210 [1], given: 298

Location: India
Premium Member CAT Tests
Re: If X is the hundredths digit in the decimal 0.1X and if Y is the thous [#permalink]

Show Tags

New post 16 Jun 2017, 09:50
1
This post received
KUDOS
For the largest value of a fraction, numerator must be max and denominator must be min.

Numerator = 0.1X.. Its largest value = 0.19
Denominator = 0.02Y.. Its smallest value = 0.021

Hence required fraction = 0.19/0.021 = 190/21 .. This is approx 9. Hence D answer

Kudos [?]: 210 [1], given: 298

Manager
Manager
avatar
S
Joined: 23 Jul 2015
Posts: 158

Kudos [?]: 42 [0], given: 31

Concentration: Strategy, Technology
GMAT 1: 730 Q50 V40
GMAT ToolKit User
If X is the hundredths digit in the decimal 0.1X and if Y is the thous [#permalink]

Show Tags

New post 16 Jun 2017, 09:57
Maximize X and minimize Y

--> \(\frac{0.19}{.021} \approx 9.4xx\), First decimal place is <5, thus rounding down.

Answer is D

Last edited by Bunuel on 16 Jun 2017, 10:28, edited 1 time in total.
Formatted.

Kudos [?]: 42 [0], given: 31

Retired Moderator
User avatar
P
Joined: 12 Aug 2015
Posts: 2329

Kudos [?]: 990 [0], given: 678

GRE 1: 323 Q169 V154
GMAT ToolKit User Premium Member
If X is the hundredths digit in the decimal 0.1X and if Y is the thous [#permalink]

Show Tags

New post 18 Jun 2017, 22:32
Excellent question.

Here is what I did on this one =>

For any fraction P/Q to be maximum => P should be maximum and Q should be minimum.
Hence => Max value => at x= 9 and y = 1(as both are non zero)

=> 0.19/0.021 => 190/21 => 9(approx)

Hence D.

_________________

Give me a hell yeah ...!!!!!

Kudos [?]: 990 [0], given: 678

Expert Post
Top Contributor
SVP
SVP
User avatar
P
Joined: 11 Sep 2015
Posts: 1977

Kudos [?]: 2859 [0], given: 364

Location: Canada
Re: If X is the hundredths digit in the decimal 0.1X and if Y is the thous [#permalink]

Show Tags

New post 27 Jun 2017, 14:29
Expert's post
Top Contributor
pushpitkc wrote:
\(\frac{0.1X}{0.02Y}\) = \(\frac{0.1+0.0X}{0.02+0.00Y}\)

For the largest value to this expression, x must be maximum and y minimum
If x=8,y=0

Expression become \(\frac{0.1+0.08}{0.02+0.000}\) = \(\frac{0.18}{0.02}\) = 9(Option D)


Be careful; the numerator is maximized with x = 9, and we're told that y cannot equal 0

Cheers,
Brent
_________________

Brent Hanneson – Founder of gmatprepnow.com

Image

Kudos [?]: 2859 [0], given: 364

Expert Post
Top Contributor
2 KUDOS received
SVP
SVP
User avatar
P
Joined: 11 Sep 2015
Posts: 1977

Kudos [?]: 2859 [2], given: 364

Location: Canada
Re: If X is the hundredths digit in the decimal 0.1X and if Y is the thous [#permalink]

Show Tags

New post 27 Jun 2017, 14:36
2
This post received
KUDOS
Expert's post
Top Contributor
1
This post was
BOOKMARKED
AbdurRakib wrote:
If X is the hundredths digit in the decimal 0.1X and if Y is the thousandths digit in the decimal 0.02Y ,where X and Y are nonzero digits,which of the following is closest to the greatest possible value of \(\frac{0.1X}{0.02Y}\) ?

A. 4
B. 5
C. 6
D. 9
E. 10


To MAXIMIZE the value of 0.1X/0.02Y, we must MAXIMIZE the numerator (0.1X) and MINIMIZE the denominator (0.02Y)

So, the numerator is maximized when X = 9. So, the numerator is 0.19
The denominator is minimized when Y = 1. So, the denominator is 0.021

So, we must determine the value of 0.19/0.021

IMPORTANT: We need not calculate the value of 0.19/0.021
Instead, just recognize that 0.19/0.02 = 9.5, which is halfway between 9 and 10
Since 0.021 is a bit bigger than 0.02, we know that 0.19/0.021 is a bit LESS THAN 9.5
So, 0.19/0.021 must be closest to 9

Answer:
[Reveal] Spoiler:
D


RELATED VIDEO

_________________

Brent Hanneson – Founder of gmatprepnow.com

Image

Kudos [?]: 2859 [2], given: 364

Intern
Intern
avatar
B
Joined: 24 Nov 2012
Posts: 6

Kudos [?]: 2 [0], given: 262

Schools: Mannheim '15
GMAT ToolKit User Reviews Badge
Re: If X is the hundredths digit in the decimal 0.1X and if Y is the thous [#permalink]

Show Tags

New post 04 Jul 2017, 13:23
pushpitkc wrote:
\(\frac{0.1X}{0.02Y}\) = \(\frac{0.1+0.0X}{0.02+0.00Y}\)

For the largest value to this expression, x must be maximum and y minimum
If x=8,y=0

Expression become \(\frac{0.1+0.08}{0.02+0.000}\) = \(\frac{0.18}{0.02}\) = 9(Option D)


Pushpit,
y needs to be non-zero as per question stem. so X=9 and y =1 gives the correct value.

Kudos [?]: 2 [0], given: 262

1 KUDOS received
Intern
Intern
User avatar
B
Joined: 08 Jun 2017
Posts: 12

Kudos [?]: 6 [1], given: 4

Re: If X is the hundredths digit in the decimal 0.1X and if Y is the thous [#permalink]

Show Tags

New post 07 Sep 2017, 22:12
1
This post received
KUDOS
AbdurRakib wrote:
If X is the hundredths digit in the decimal 0.1X and if Y is the thousandths digit in the decimal 0.02Y ,where X and Y are nonzero digits,which of the following is closest to the greatest possible value of \(\frac{0.1X}{0.02Y}\) ?
A. 4
B. 5
C. 6
D. 9
E. 10


The way I happened to solve it is:
Naturally for the largest fraction we need the largest possible numerator and the smallest denominator.
So we assume x = 9, and y = 1.
Therefore, 0.19/0.021 = Answer
if we assume that the denominator was 0.020 instead of 0.021 we realise that the number we'll get will be smaller than
the actual answer.

Therefore, 0.19/0.02 = 19/2 = (Little less than) 9.5
Therefore, the closest answer is 9
Answer D

Kudos [?]: 6 [1], given: 4

Expert Post
Target Test Prep Representative
User avatar
S
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2014

Kudos [?]: 1081 [0], given: 4

Location: United States (CA)
Re: If X is the hundredths digit in the decimal 0.1X and if Y is the thous [#permalink]

Show Tags

New post 15 Nov 2017, 16:20
AbdurRakib wrote:
If X is the hundredths digit in the decimal 0.1X and if Y is the thousandths digit in the decimal 0.02Y ,where X and Y are nonzero digits,which of the following is closest to the greatest possible value of \(\frac{0.1X}{0.02Y}\) ?

A. 4
B. 5
C. 6
D. 9
E. 10


We are given two decimals:

0.1X and 0.02Y

To make 0.1X the greatest, we can let X = 9 and we have:

0.19

To make 0.02Y the smallest, we can make Y = 1 (since Y = 0 is not allowed) and we have:

0.021

Thus:

0.19/0.021 = 190/21 = 9 1/21

So, the greatest possible value is about 9.

Answer: D
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 1081 [0], given: 4

Expert Post
EMPOWERgmat Instructor
User avatar
P
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 10681

Kudos [?]: 3771 [0], given: 173

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: If X is the hundredths digit in the decimal 0.1X and if Y is the thous [#permalink]

Show Tags

New post 18 Nov 2017, 16:00
Hi AbdurRakib,

We're told that X is the hundredths digit in the decimal 0.1X and if Y is the thousandths digit in the decimal 0.02Y and that X and Y are NON-ZERO digits. We're asked which of the following is closest to the GREATEST possible value of 0.1X/0.02Y

To make the value of this positive fraction as large as possible, we need to make the numerator as large as possible AND make the denominator as small as possible... so we should make X = 9 and Y = 1.

.19/.021

To 'clean up' this fraction, let's multiply both the numerator and denominator by 1000....

190/21

At this point, you might find it useful to compare 'multiples' of 21...
(21)(9) = 189
(21)(10) = 210

189 is considerably closer to 190 than 210 is, so that fraction is closest to 9.

Final Answer:
[Reveal] Spoiler:
D


GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Kudos [?]: 3771 [0], given: 173

Re: If X is the hundredths digit in the decimal 0.1X and if Y is the thous   [#permalink] 18 Nov 2017, 16:00
Display posts from previous: Sort by

If X is the hundredths digit in the decimal 0.1X and if Y is the thous

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.