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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

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:

Re: Is the exact value of x/y less than 0.5? [#permalink]
03 Jan 2014, 03:29

2

This post received KUDOS

1

This post was BOOKMARKED

teabecca wrote:

Is the exact value of x/y less than 0.5?

(1) When x and y are rounded to the nearest ten, x is 30, and y is 70.

(2) When x and y are rounded to the nearest unit, x is 32, and y is 65.

We need to find whether x/y<0.5

From St 1, we have Possible range of x = 25 to 35 Y = 65 to 75 Now the range of x/y will be between min x/max y and max x/min y------> 25/75 and 35/65 Clearly the x<y can have value more or less than 0.5 A& D ruled out

From St 2 we have Possible value of x 31.5 to 32.5 and for y = 64.5 to 65.5

31.5/65.5 <x/y< 32.5/65.5 Again it can value more than or less than 0.5

Combining we get that X is between 31.5 and 32.5 and Y is more than 65 (Y can have any value above 65 till 74.9999) and for all possible values of Y, X/Y will be less than 0.5

Ans C _________________

“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”

Re: Is the exact value of x/y less than 0.5? [#permalink]
18 Jun 2014, 06:26

WoundedTiger wrote:

teabecca wrote:

Is the exact value of x/y less than 0.5?

(1) When x and y are rounded to the nearest ten, x is 30, and y is 70.

(2) When x and y are rounded to the nearest unit, x is 32, and y is 65.

We need to find whether x/y<0.5

From St 1, we have Possible range of x = 25 to 35 Y = 65 to 75 Now the range of x/y will be between min x/max y and max x/min y------> 25/75 and 35/65 Clearly the x<y can have value more or less than 0.5 A& D ruled out

From St 2 we have Possible value of x 31.5 to 32.5 and for y = 64.5 to 65.5

31.5/65.5 <x/y< 32.5/65.5 Again it can value more than or less than 0.5

Combining we get that X is between 31.5 and 32.5 and Y is more than 65 (Y can have any value above 65 till 74.9999) and for all possible values of Y, X/Y will be less than 0.5

Ans C

Shouldn't the possible range be from 25 to 34 and 65 to 74 because the moment the number becomes 35 , it will round up to 40

Re: Is the exact value of x/y less than 0.5? [#permalink]
18 Jun 2014, 08:39

Expert's post

1

This post was BOOKMARKED

himanshujovi wrote:

WoundedTiger wrote:

teabecca wrote:

Is the exact value of x/y less than 0.5?

(1) When x and y are rounded to the nearest ten, x is 30, and y is 70.

(2) When x and y are rounded to the nearest unit, x is 32, and y is 65.

We need to find whether x/y<0.5

From St 1, we have Possible range of x = 25 to 35 Y = 65 to 75 Now the range of x/y will be between min x/max y and max x/min y------> 25/75 and 35/65 Clearly the x<y can have value more or less than 0.5 A& D ruled out

From St 2 we have Possible value of x 31.5 to 32.5 and for y = 64.5 to 65.5

31.5/65.5 <x/y< 32.5/65.5 Again it can value more than or less than 0.5

Combining we get that X is between 31.5 and 32.5 and Y is more than 65 (Y can have any value above 65 till 74.9999) and for all possible values of Y, X/Y will be less than 0.5

Ans C

Shouldn't the possible range be from 25 to 34 and 65 to 74 because the moment the number becomes 35 , it will round up to 40

Is the exact value of x/y less than 0.5?

(1) When x and y are rounded to the nearest ten, x is 30, and y is 70:

\(25 \leq x < 35\). \(65 \leq y < 75\).

We can get x/y to be less than 1/2 as well as more than 1/2. Not sufficient.

(2) When x and y are rounded to the nearest unit, x is 32, and y is 65:

\(31.5\leq x < 32.5\). \(64.5 \leq y < 65.5\).

We can get x/y to be less than 1/2 as well as more than 1/2. Not sufficient.

(1)+(2) \(31.5\leq x < 32.5\) and \(65 \leq y < 65.5\). The minimum value of y (65) is more than twice as large as the maximum value of x (<32.5). So, x/y < 1/2. Sufficient.

Hey, everyone. After a hectic orientation and a weeklong course, Managing Groups and Teams, I have finally settled into the core curriculum for Fall 1, and have thus found...

MBA Acceptance Rate by Country Most top American business schools brag about how internationally diverse they are. Although American business schools try to make sure they have students from...

After I was accepted to Oxford I had an amazing opportunity to visit and meet a few fellow admitted students. We sat through a mock lecture, toured the business...