Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 178

The positive integer n is divisible by 25. If n^1/2 is [#permalink]
Show Tags
20 Dec 2012, 06:52
1
This post received KUDOS
16
This post was BOOKMARKED
Question Stats:
77% (02:02) correct
23% (01:07) wrong based on 1033 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
Official Answer and Stats are available only to registered users. Register/ Login.



Math Expert
Joined: 02 Sep 2009
Posts: 39666

Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]
Show Tags
20 Dec 2012, 06:55
7
This post received KUDOS
Expert's post
12
This post was BOOKMARKED



Intern
Joined: 03 Jan 2013
Posts: 4

Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]
Show Tags
14 Jan 2013, 11:09
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.



Manager
Joined: 04 Jan 2013
Posts: 80

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. Posted from my mobile device



Intern
Joined: 22 Dec 2012
Posts: 16

Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]
Show Tags
08 Mar 2013, 12:58
1
This post received 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]



Intern
Status: Attending Duke in May!
Joined: 08 Jan 2013
Posts: 29
Location: United States (NC)
Concentration: Leadership, Strategy

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!



Manager
Joined: 25 Jul 2012
Posts: 75
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: 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 ^_^



Math Expert
Joined: 02 Sep 2009
Posts: 39666

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: 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? What do you mean by "how"? Just divide both sides of \(n>25^2\) by 25.
_________________
New to the Math Forum? Please read this: All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 25 Jul 2012
Posts: 75
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 ^_^



GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15964

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.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1857
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
This post received KUDOS
n should be divisible by 25 & \(\sqrt{n} > 25\) \(So, n^2 > 625\) Looking at all the options, only 26 fits in Answer = E
_________________
Kindly press "+1 Kudos" to appreciate



Intern
Joined: 17 Apr 2014
Posts: 1

Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]
Show Tags
10 Nov 2014, 02:14
1
This post received 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



Senior Manager
Status: Math is psychological
Joined: 07 Apr 2014
Posts: 441
Location: Netherlands
GMAT Date: 02112015
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...



GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15964

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.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1158
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
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 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 WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Manager
Joined: 12 Jun 2016
Posts: 82
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 OG2016 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!



Math Expert
Joined: 02 Sep 2009
Posts: 39666

Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]
Show Tags
19 May 2017, 10:58



Manager
Joined: 12 Jun 2016
Posts: 82
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 OG2016 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/theofficial ... 43450.html
_________________
My Best is yet to come!



Director
Joined: 02 Sep 2016
Posts: 524

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?



Director
Joined: 02 Sep 2016
Posts: 524

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.




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 ]




