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:

Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]

Show Tags

14 Jan 2013, 12:25

1

This post received KUDOS

Walkabout wrote:

The positive integer n is divisible by 25. If \(\sqrt{n}\) is greater than 25, which of the following could be the value of n/25 ?

(A) 22 (B) 23 (C) 24 (D) 25 (E) 26

since \([square_root]n[square_root]\) is greater than 25 then our n is also greater than 25..i will try using the try and error method..lets say the value of n/25 =22,then n=550..\([sqaure_root]550[sqaure_root]\) is less than and i guess it wont it wont work..going through all options integer 26 proved worth for an answer by satisfying the following points;it was a result of a division between positive integer n and 25 i.e integer n (650)is a multiple of 25 whose sqaure root is greater than 25..hence option E serves as the answer.

Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]

Show Tags

27 Mar 2013, 21:38

Ayselka wrote:

Bunuel wrote:

Walkabout wrote:

The positive integer n is divisible by 25. If \(\sqrt{n}\) is greater than 25, which of the following could be the value of n/25 ?

(A) 22 (B) 23 (C) 24 (D) 25 (E) 26

\(\sqrt{n}>25\) --> \(n>25^2\).

Divide both parts by 25: \(\frac{n}{25}>\frac{25^2}{25}\) --> \(\frac{n}{25}>25\). The only answer choice that is greater than 25 is 26.

Answer: E.

Hello,

Maybe I don't understand something here, but how can 26/25 be more than 25? 26/25 is 1.04. Can you please explain.

Ayselka,

I know it looks confusing but the question was what is a possible value for \(\frac{n}{25}\) not "what is a possible value for n." Thus, \(\frac{n}{25}=26\), n=650 in this scenario. I hope that helps, and good luck!

Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]

Show Tags

22 Jun 2013, 12:59

Bunuel wrote:

Walkabout wrote:

The positive integer n is divisible by 25. If \(\sqrt{n}\) is greater than 25, which of the following could be the value of n/25 ?

(A) 22 (B) 23 (C) 24 (D) 25 (E) 26

\(\sqrt{n}>25\) --> \(n>25^2\).

Divide both parts by 25: \(\frac{n}{25}>\frac{25^2}{25}\) --> \(\frac{n}{25}>25\). The only answer choice that is greater than 25 is 26.

Answer: E.

Hello,

I am confused on how to comprehend this question. I understand we are not looking for the value of n and that we are looking for the value of n/25, however, how are you dividing both sides of the inequality: n>25^2 by 25?
_________________

If my post has contributed to your learning or teaching in any way, feel free to hit the kudos button ^_^

The positive integer n is divisible by 25. If \(\sqrt{n}\) is greater than 25, which of the following could be the value of n/25 ?

(A) 22 (B) 23 (C) 24 (D) 25 (E) 26

\(\sqrt{n}>25\) --> \(n>25^2\).

Divide both parts by 25: \(\frac{n}{25}>\frac{25^2}{25}\) --> \(\frac{n}{25}>25\). The only answer choice that is greater than 25 is 26.

Answer: E.

Hello,

I am confused on how to comprehend this question. I understand we are not looking for the value of n and that we are looking for the value of n/25, however, how are you dividing both sides of the inequality: n>25^2 by 25?

What do you mean by "how"? Just divide both sides of \(n>25^2\) by 25.
_________________

Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]

Show Tags

24 Jun 2013, 10:05

Apologies... I meant "why" not "how". However, I do know now what they are asking. I guess the way OG presents the question didn't seem very linear to me so I was confused.
_________________

If my post has contributed to your learning or teaching in any way, feel free to hit the kudos button ^_^

Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]

Show Tags

01 Jul 2014, 08:52

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.
_________________

The positive integer n is divisible by 25. If n^1/2 is [#permalink]

Show Tags

14 Jan 2015, 05:03

N is divisible by 25 means that N is a muplitple of 25. So, could be 25*1=25, 25*2=50 etc etc.

Only this sentence helps you reject A,B,C, as they already are less than 25.

The second sentence says: SQRTN>25, so N> SQRT25 --> N> 625

N/25= 625/25= 25. So, N needs to be greater than 25. Only possible option is ANS E

And also let me add this small piece of advice: when you see greater than flag it somehow (circle it, underline it, write down greater than, "GT" or whatever). Than because in this case for example, managing to come to a solution could direct you to answer option D, as this was your result. However, the question wanted sth more than your result (greater than). It is a pitty to give the wrong answer like this...

Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]

Show Tags

28 Mar 2016, 05:45

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.
_________________

The positive integer n is divisible by 25. If \(\sqrt{n}\) is greater than 25, which of the following could be the value of n/25 ?

(A) 22 (B) 23 (C) 24 (D) 25 (E) 26

We can solve this problem by translating the given information into math equations. We are first given that the positive integer n is divisible by 25. Translating this we have:

n/25 = integer

We are next given that the square root of n is greater than 25. So we can say:

√n > 25

Next we eliminate the square root by squaring both sides.

n > 25^2

n > 625

Since n must be a multiple of 25 and now we know it must be greater than 625, n/25 must be greater than 625/25, or 25. The only number greater than 25 in the answer choices is 26, so the answer must be E

Answer is E.
_________________

Scott Woodbury-Stewart Founder and CEO

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

Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]

Show Tags

19 May 2017, 10:46

Hi!

A question on this please.

The Tag says this is a OG question. I am using OG-2016 and could not find this question. Does this mean that this is part of an older OG? Also, does this mean that the later OG's may not contain some of the questions contained in Older OG's? Just curious, so that I don't miss out on any OG questions while practicing.
_________________

The Tag says this is a OG question. I am using OG-2016 and could not find this question. Does this mean that this is part of an older OG? Also, does this mean that the later OG's may not contain some of the questions contained in Older OG's? Just curious, so that I don't miss out on any OG questions while practicing.

Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]

Show Tags

19 May 2017, 11:10

Thank you so much Bunuel! Glad that we have you in the forum guiding us

Bunuel wrote:

susheelh wrote:

Hi!

A question on this please.

The Tag says this is a OG question. I am using OG-2016 and could not find this question. Does this mean that this is part of an older OG? Also, does this mean that the later OG's may not contain some of the questions contained in Older OG's? Just curious, so that I don't miss out on any OG questions while practicing.

Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]

Show Tags

22 Jun 2017, 03:37

Bunuel wrote:

Walkabout wrote:

The positive integer n is divisible by 25. If \(\sqrt{n}\) is greater than 25, which of the following could be the value of n/25 ?

(A) 22 (B) 23 (C) 24 (D) 25 (E) 26

\(\sqrt{n}>25\) --> \(n>25^2\).

Divide both parts by 25: \(\frac{n}{25}>\frac{25^2}{25}\) --> \(\frac{n}{25}>25\). The only answer choice that is greater than 25 is 26.

Answer: E.

Hello Bunuel

In an inequality like in the above, when should we cancel variables or values on both sides or take their square roots and when should we bring them on one side of the inequality to solve?