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.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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

Show Tags

16 Jun 2017, 09:04

2

Top Contributor

18

00:00

A

B

C

D

E

Difficulty:

55% (hard)

Question Stats:

59% (01:07) correct 41% (01:15) wrong based on 831 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 \(\frac{0.1X}{0.02Y}\) ?

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

Show Tags

27 Jun 2017, 15:36

4

Top Contributor

3

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

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

Show Tags

07 Sep 2017, 23:12

1

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

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

Show Tags

15 Nov 2017, 17:20

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

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

Show Tags

18 Nov 2017, 17:00

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.

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

Show Tags

18 Mar 2018, 20:05

Quote:

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 \(\frac{0.1X}{0.02Y}\) ?

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

Show Tags

18 Mar 2018, 21:08

2

adkikani wrote:

Quote:

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 \(\frac{0.1X}{0.02Y}\) ?

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

Show Tags

18 Mar 2018, 23:02

adkikani wrote:

Quote:

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 \(\frac{0.1X}{0.02Y}\) ?