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

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

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20 Dec 2012, 05:52
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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
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Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]

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20 Dec 2012, 05:55
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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.

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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, 10:09
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.
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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
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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.

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

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08 Mar 2013, 11:58
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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.
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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:
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.

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

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22 Jun 2013, 12:03
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.
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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.
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Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]

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01 Jul 2014, 07:52
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Re: The positive integer n is divisible by 25. If n^1/2 is [#permalink]

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02 Jul 2014, 01:34
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n should be divisible by 25 & $$\sqrt{n} > 25$$

$$So, n^2 > 625$$

Looking at all the options, only 26 fits in

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

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10 Nov 2014, 01:14
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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
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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...
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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!

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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
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

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