It is currently 23 Oct 2017, 12:07

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

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The positive integer n is divisible by 25. If n^1/2 is

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

Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 178

Kudos [?]: 3495 [1], given: 0

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

Show Tags

20 Dec 2012, 06:52
1
KUDOS
20
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

77% (01:02) correct 23% (01:08) wrong based on 1165 sessions

HideShow timer Statistics

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
[Reveal] Spoiler: OA

Kudos [?]: 3495 [1], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 41913

Kudos [?]: 129489 [7], given: 12201

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

Show Tags

20 Dec 2012, 06:55
7
KUDOS
Expert's post
13
This post was
BOOKMARKED
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.

_________________

Kudos [?]: 129489 [7], given: 12201

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1853

Kudos [?]: 2633 [2], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]

Show Tags

02 Jul 2014, 02:34
2
KUDOS
n should be divisible by 25 & $$\sqrt{n} > 25$$

$$So, n^2 > 625$$

Looking at all the options, only 26 fits in

_________________

Kindly press "+1 Kudos" to appreciate

Kudos [?]: 2633 [2], given: 193

Manager
Joined: 04 Jan 2013
Posts: 79

Kudos [?]: 17 [1], given: 1

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

Show Tags

14 Jan 2013, 12:25
1
KUDOS
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.

Posted from my mobile device

Kudos [?]: 17 [1], given: 1

Intern
Joined: 22 Dec 2012
Posts: 16

Kudos [?]: 24 [1], given: 19

GMAT 1: 720 Q49 V39
Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]

Show Tags

08 Mar 2013, 12:58
1
KUDOS
the questions says n = 5*5*k (as its divisible by 25)
and then asks to find out possible value of K.

now it also says (n^0.5) > 25
which means 5* (k^0.5) > 25
squaring both sides we get K > 25.

Only possible ans is 26!

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.[/quote]

Kudos [?]: 24 [1], given: 19

Intern
Joined: 17 Apr 2014
Posts: 1

Kudos [?]: 1 [1], given: 0

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

Show Tags

10 Nov 2014, 02:14
1
KUDOS
Another explanation may be:

n/25 is an integer and the Square root of n is greater than 25, so:

n > 25 * 25

The first number that is more than 25*25 and divisible by 25 is 25*25 + 25 -> 25*25 + 25/25 = 25 + 25/25 = 26

Kudos [?]: 1 [1], given: 0

Intern
Joined: 03 Jan 2013
Posts: 4

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

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

Show Tags

14 Jan 2013, 11:09
Bunuel 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.

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.

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

Intern
Status: Attending Duke in May!
Joined: 08 Jan 2013
Posts: 29

Kudos [?]: 41 [0], given: 18

Location: United States (NC)
GMAT 1: 640 Q42 V35
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:
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.

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!

Kudos [?]: 41 [0], given: 18

Manager
Joined: 25 Jul 2012
Posts: 74

Kudos [?]: 119 [0], given: 137

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

Show Tags

22 Jun 2013, 12:59
Bunuel 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.

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 ^_^

Kudos [?]: 119 [0], given: 137

Math Expert
Joined: 02 Sep 2009
Posts: 41913

Kudos [?]: 129489 [0], given: 12201

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

Show Tags

22 Jun 2013, 13:03
DelSingh wrote:
Bunuel 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.

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.
_________________

Kudos [?]: 129489 [0], given: 12201

Manager
Joined: 25 Jul 2012
Posts: 74

Kudos [?]: 119 [0], given: 137

Location: United States
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 ^_^

Kudos [?]: 119 [0], given: 137

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16534

Kudos [?]: 274 [0], given: 0

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.
_________________

Kudos [?]: 274 [0], given: 0

Senior Manager
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 437

Kudos [?]: 139 [0], given: 169

Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
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...

Kudos [?]: 139 [0], given: 169

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16534

Kudos [?]: 274 [0], given: 0

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.
_________________

Kudos [?]: 274 [0], given: 0

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1655

Kudos [?]: 854 [0], given: 3

Location: United States (CA)
Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]

Show Tags

28 Jun 2016, 05:44
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

_________________

Scott Woodbury-Stewart
Founder and CEO

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

Kudos [?]: 854 [0], given: 3

Manager
Joined: 12 Jun 2016
Posts: 220

Kudos [?]: 35 [0], given: 130

Location: India
WE: Sales (Telecommunications)
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.
_________________

My Best is yet to come!

Kudos [?]: 35 [0], given: 130

Math Expert
Joined: 02 Sep 2009
Posts: 41913

Kudos [?]: 129489 [0], given: 12201

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

Show Tags

19 May 2017, 10:58
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.

Yes, it's Problem Solving Question #176 from Official Guide for GMAT® Review, 13th Edition Quantitative Question Directory: https://gmatclub.com/forum/the-official ... 43450.html
_________________

Kudos [?]: 129489 [0], given: 12201

Manager
Joined: 12 Jun 2016
Posts: 220

Kudos [?]: 35 [0], given: 130

Location: India
WE: Sales (Telecommunications)
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.

Yes, it's Problem Solving Question #176 from Official Guide for GMAT® Review, 13th Edition Quantitative Question Directory: https://gmatclub.com/forum/the-official ... 43450.html

_________________

My Best is yet to come!

Kudos [?]: 35 [0], given: 130

Director
Joined: 02 Sep 2016
Posts: 776

Kudos [?]: 41 [0], given: 268

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

Show Tags

22 Jun 2017, 03:37
Bunuel 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.

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?

Kudos [?]: 41 [0], given: 268

Director
Joined: 02 Sep 2016
Posts: 776

Kudos [?]: 41 [0], given: 268

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

Show Tags

22 Jun 2017, 03:42
n is divisible by 25 that means n has at least 5^2 as its prime factors.

Also it's given that sq. root of n>25
Squaring both the sides, we get:

n>625
So n/25 has to be greater than 25 (because 625/25= 25 but n is > than 625).

E it is
_________________

Help me make my explanation better by providing a logical feedback.

If you liked the post, HIT KUDOS !!

Don't quit.............Do it.

Kudos [?]: 41 [0], given: 268

Re: The positive integer n is divisible by 25. If n^1/2 is   [#permalink] 22 Jun 2017, 03:42

Go to page    1   2    Next  [ 24 posts ]

Display posts from previous: Sort by

The positive integer n is divisible by 25. If n^1/2 is

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

 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®.