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 500,000 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:

If after a number was added to a set consisting of all distinct one-digit prime integers, the median of the set grew by 25%, which of the following cannot be the value of the number added?

Can someone explain? I may be misreading the question, but it does not say the set consists of all the signle digit prime numbers with no repeats. From the way it is worded: A number was added to a set that consists of single digit prime integers, couldn't that mean that {2,2,2,2,2} is an example of one such set, so is {7,7,7}?

I reasoned the lowest possible current median is 2 (if all 2's) and the highest possible current median is 7 (set of all 7's) so the new median would be between 2.5 and 8.75 (it does not say the number added had to be an integer) ...is this just a poorly worded question or am I reading too mcuh into it? Thanks

Affiliations: Volunteer Operation Smile India, Creative Head of College IEEE branch (2009-10), Chief Editor College Magazine (2009), Finance Head College Magazine (2008)

Joined: 25 Jul 2010

Posts: 471

Location: India

WE2: Entrepreneur (E-commerce - The Laptop Skin Vault)

It can't be all 2's or anything because it means that the set has "all the 1 digit prime nos." At least that is how I immediately interpreted it. I'd suggest don't go into semantics it can get confusing when it isn't.
_________________

If after a number was added to a set consisting of all one-digit prime integers, the median of the set grew by 25%, which of the following cannot be the value of the number added?

A)4.8 B)5.0 C) \(\sqrt{29}\) D)7.7 E)49/4

Explanation: The original set was (2,3,5,7), Its median was 4. The median of the new set is 4*1.25 =5 [b]Thus, the number added cannot be less than 5.

[/b]

Hi Bunuel,

Got the above question today....I guessed this one and moved on

Can you elaborate the part in red...
_________________

“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.”

If after a number was added to a set consisting of all one-digit prime integers, the median of the set grew by 25%, which of the following cannot be the value of the number added?

A)4.8 B)5.0 C) \(\sqrt{29}\) D)7.7 E)49/4

Explanation: The original set was (2,3,5,7), Its median was 4. The median of the new set is 4*1.25 =5 [b]Thus, the number added cannot be less than 5.

[/b]

Hi Bunuel,

Got the above question today....I guessed this one and moved on

Can you elaborate the part in red...

For the median of {2, 3, 5, 7, x} to be 5 (5 to be the middle term), x must be greater than or equal to 5. If x is less than 5, the median would also be less than 5.

Got this question today and was confused that the stem does not limit the possibility of repeating the numbers in set, so median of the original set is not limited to 3+5=4. Do I understand the stem wrong?

Got this question today and was confused that the stem does not limit the possibility of repeating the numbers in set, so median of the original set is not limited to 3+5=4. Do I understand the stem wrong?

Added word "distinct" there to avoid confusion: "If after a number was added to a set consisting of all distinct one-digit prime integers, the median of the set grew by 25%, which of the following cannot be the value of the number added?"

For the median of {2, 3, 5, 7, x} to be 5 (5 to be the middle term), x must be greater than or equal to 5. If x is less than 5, the median would also be less than 5.

Old set: {2, 3, 5, 7}. New set: {2, 3, 5, 7, x}. x must greater than or equal to 5, for the median to be 5.

For example, if x=7.7, then the set is {2, 3, 5, 7, 7.7} --> median = 5.

For the median of {2, 3, 5, 7, x} to be 5 (5 to be the middle term), x must be greater than or equal to 5. If x is less than 5, the median would also be less than 5.

Old set: {2, 3, 5, 7}.

New set: {2, 3, 5, 7, x}. x must greater than or equal to 5, for the median to be 5.

For example, if x=7.7, then the set is {2, 3, 5, 7, 7.7} --> median = 5.

Hope it's clear.

I messed up this with average..noob me
_________________

Appreciate the efforts...KUDOS for all Don't let an extra chromosome get you down..