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. 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.
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
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/ifnisanin ... 67846.htmlIn 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 repost 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.
Official Answer and Stats are available only to registered users. Register/ Login.



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: 08082011

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: 08082011

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: 08082011

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 255^2. 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

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. Answer: B. OPEN DISCUSSION OF THIS QUESTION IS HERE: http://gmatclub.com/forum/ifnisanin ... 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 repost 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.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  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




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






