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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 ^_^

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...

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]

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19 May 2017, 09:46

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]

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19 May 2017, 10:10

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]

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22 Jun 2017, 02:37

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?

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?

I think the following topic covers all the cases: Inequality tips