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

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14 Jan 2013, 11:25

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]

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27 Mar 2013, 20:38

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]

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22 Jun 2013, 11:59

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]

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24 Jun 2013, 09:05

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]

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01 Jul 2014, 07:52

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).

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

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14 Jan 2015, 04:03

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]

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28 Mar 2016, 04:45

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

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28 Jun 2016, 04:44

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.
_________________

Jeffrey Miller Scott Woodbury-Stewart Founder and CEO

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Re: The positive integer n is divisible by 25. If n^1/2 is
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28 Jun 2016, 04:44

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