GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 23 Jan 2019, 14:57

### 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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### Key Strategies to Master GMAT SC

January 26, 2019

January 26, 2019

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.
• ### Free GMAT Number Properties Webinar

January 27, 2019

January 27, 2019

07:00 AM PST

09:00 AM PST

Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.

# If n is an integer between 2 and 100 and if n is also the square of an

Author Message
Senior Manager
Joined: 29 Jan 2011
Posts: 283
If n is an integer between 2 and 100 and if n is also the square of an  [#permalink]

### Show Tags

09 Jul 2011, 16:06
00:00

Difficulty:

55% (hard)

Question Stats:

36% (01:59) correct 64% (01:01) wrong based on 11 sessions

### HideShow timer Statistics

If n is an integer between 2 and 100 and if n is also the square of an integer, what is the value of n?

(1) n is even.
(2) The cube root of n is an integer

OPEN DISCUSSION OF THIS QUESTION IS HERE: http://gmatclub.com/forum/if-n-is-an-in ... 67846.html

In the problem statement given it says n is an integer between 2 and 100 and square of n is an integer...does it mean square of n also lies between 2 and 100?How do we know that?

For ex can we say n = 4 and square of n = 16? and can we also say n =100 and square of n =10,000?

If n is an integer between 2 and 100 and if n is also the square of an integer, what is the value of n?

(1) n is even.
(2)The cube root of n is an integer.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Manager
Joined: 23 Jan 2011
Posts: 117
Re: If n is an integer between 2 and 100 and if n is also the square of an  [#permalink]

### Show Tags

09 Jul 2011, 16:43
siddhans wrote:
In the problem statement given it says n is an integer between 2 and 100 and square of n is an integer...does it mean square of n also lies between 2 and 100?How do we know that?

For ex can we say n = 4 and square of n = 16? and can we also say n =100 and square of n =10,000?

If n is an integer between 2 and 100 and if n is also the square of an integer, what is the value of n?

(1) n is even.
(2)The cube root of n is an integer.

See the underline portion: n is square of an integer and lies b/w 2 n 100.

Stment 1: n could be 4 or 36, not sufficient. A & D out
Stment 2: N is 64 (sq of 8 and cube of 8). Sufficient.
Manager
Joined: 03 Aug 2010
Posts: 98
GMAT Date: 08-08-2011
Re: If n is an integer between 2 and 100 and if n is also the square of an  [#permalink]

### Show Tags

09 Jul 2011, 17:05
In the problem statement given it says n is an integer between 2 and 100 and square of n is an integer...does it mean square of n also lies between 2 and 100?How do we know that?

N is between 2 and 100, but N square is between 3^2 and 99^2, inclusive.
Senior Manager
Joined: 29 Jan 2011
Posts: 283
Re: If n is an integer between 2 and 100 and if n is also the square of an  [#permalink]

### Show Tags

09 Jul 2011, 17:07
Yalephd wrote:
In the problem statement given it says n is an integer between 2 and 100 and square of n is an integer...does it mean square of n also lies between 2 and 100?How do we know that?

N is between 2 and 100, but N square is between 3^2 and 99^2, inclusive.

99^2 will be greater than 100 then so n can be greater than 100?
Manager
Joined: 03 Aug 2010
Posts: 98
GMAT Date: 08-08-2011
Re: If n is an integer between 2 and 100 and if n is also the square of an  [#permalink]

### Show Tags

09 Jul 2011, 17:11
No, N cannot be greater than 100, but N^2 can be greater than 100.
Senior Manager
Joined: 29 Jan 2011
Posts: 283
Re: If n is an integer between 2 and 100 and if n is also the square of an  [#permalink]

### Show Tags

09 Jul 2011, 17:17
Yalephd wrote:
No, N cannot be greater than 100, but N^2 can be greater than 100.

how do did you do your calculations? can you explain in detail for both the conditions?
Manager
Joined: 03 Aug 2010
Posts: 98
GMAT Date: 08-08-2011
Re: If n is an integer between 2 and 100 and if n is also the square of an  [#permalink]

### Show Tags

09 Jul 2011, 17:32
Let's put it this way. If I say N is an integer greater than 4, but less than 6, you would know that N is 5, right? However, that wouldn't mean that N^2 is also less than 6. N^2 in this case is 25--5^2. I think you are trying to apply the limits established for N to N^2. Don't do that.

Hope that helps.
Current Student
Joined: 08 Jan 2009
Posts: 304
GMAT 1: 770 Q50 V46
Re: If n is an integer between 2 and 100 and if n is also the square of an  [#permalink]

### Show Tags

09 Jul 2011, 17:42
2 < n < 100
n = x^2, where x is some integer

1) Not sufficient, various x^2 result in n between the bounds
2) n = y^3

n must be > 2, so y will be > 1 (and an integer, so lets start at 2)

y = 2, n = 8, no integer solution for x
y = 3, n = 27, no integer solution for x
y = 4, n = 64, x = 8 <--- fits all criteria
y = 5, n = 125, out of bounds

B
Math Expert
Joined: 02 Sep 2009
Posts: 52431
Re: If n is an integer between 2 and 100 and if n is also the square of an  [#permalink]

### Show Tags

05 Dec 2017, 21:00
If n is an integer between 2 and 100 and if n is also the square of an integer, what is the value of n?

Given: n is a perfect square between 2 and 100 (a perfect square is an integer that can be written as the square of some other integer, for example 16=4^2, is a perfect square).

(1) n is even --> n can be any even perfect square in the given range: 4, 16, 36, ... Not sufficient.

(2) The cube root of n is an integer --> so n is also a perfect cube between 2 and 100. There are 4 perfect cubes in this range: 2^3=8, 3^3=27 and 4^3=64 but only one of them namely 64 is also a perfect square, so n=64=8^2=4^3. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: http://gmatclub.com/forum/if-n-is-an-in ... 67846.html

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Re: If n is an integer between 2 and 100 and if n is also the square of an &nbs [#permalink] 05 Dec 2017, 21:00
Display posts from previous: Sort by