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

 It is currently 15 Oct 2019, 19:14

### 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

# How many integers between 101 and 201 are equal to the square of some

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58340
How many integers between 101 and 201 are equal to the square of some  [#permalink]

### Show Tags

07 Feb 2019, 00:58
00:00

Difficulty:

15% (low)

Question Stats:

79% (00:55) correct 21% (00:56) wrong based on 42 sessions

### HideShow timer Statistics

How many integers between 101 and 201 are equal to the square of some integer ?

A. Two
B. There
C. Four
D. Five
E. Six

_________________
Manager
Joined: 05 Feb 2016
Posts: 168
Location: India
Concentration: General Management, Marketing
WE: Information Technology (Computer Software)
Re: How many integers between 101 and 201 are equal to the square of some  [#permalink]

### Show Tags

07 Feb 2019, 01:09
Bunuel wrote:
How many integers between 101 and 201 are equal to the square of some integer ?

A. Two
B. There
C. Four
D. Five
E. Six

Four integers $$11^2,12^2,13^2,14^2$$
C
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 4999
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: How many integers between 101 and 201 are equal to the square of some  [#permalink]

### Show Tags

07 Feb 2019, 01:09
Bunuel wrote:
How many integers between 101 and 201 are equal to the square of some integer ?

A. Two
B. There
C. Four
D. Five
E. Six

101 to 201
square integers =
121,144,169,196
IMO C
Intern
Joined: 28 Sep 2018
Posts: 29
Re: How many integers between 101 and 201 are equal to the square of some  [#permalink]

### Show Tags

07 Feb 2019, 01:15
1
Just wanted to know... Of eight was in the option what would be the answer?

Because the square of a negative number would also give us the same value.

Eg- 11^2 = -11^2

Thus there would be 8 integer values that would give us values between 101 and 201

Posted from my mobile device
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 4999
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: How many integers between 101 and 201 are equal to the square of some  [#permalink]

### Show Tags

07 Feb 2019, 01:19
Hoozan wrote:
Just wanted to know... Of eight was in the option what would be the answer?

Because the square of a negative number would also give us the same value.

Eg- 11^2 = -11^2

Thus there would be 8 integer values that would give us values between 101 and 201

Posted from my mobile device

Hoozan
rang given is 101 to 201 ; which is +ve ;
Intern
Joined: 28 Sep 2018
Posts: 29
Re: How many integers between 101 and 201 are equal to the square of some  [#permalink]

### Show Tags

07 Feb 2019, 01:25
How many integers between 101 and 201 are equal to the square of some integer ?

Set = (101,102..200)

Now we are asked to find integers that are square of some integer

Thus we can narrow the set to
121,144,169 and 196

Thus the question is asking us to find the integers whose square value is in the above set

I.e... 11^=-11^= 121

The question has given us a range of n^2 and not of n

Which means n could be +ve or -ve.

Posted from my mobile device
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 4999
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: How many integers between 101 and 201 are equal to the square of some  [#permalink]

### Show Tags

07 Feb 2019, 01:30
1
Hoozan wrote:
How many integers between 101 and 201 are equal to the square of some integer ?

Set = (101,102..200)

Now we are asked to find integers that are square of some integer

Thus we can narrow the set to
121,144,169 and 196

Thus the question is asking us to find the integers whose square value is in the above set

I.e... 11^=-11^= 121

The question has given us a range of n^2 and not of n

Which means n could be +ve or -ve.

Posted from my mobile device

Hoozan

My understanding of question is:

question has asked for " see bold"

How many integers between 101 and 201 are equal to the square of some integer ?

so those integers values are only 4 , even if the square is either -ve or +ve..
question isnt asking for the no of integers who have a square between 101 to 201... in that case 8 would be correct..
Intern
Joined: 28 Sep 2018
Posts: 29
Re: How many integers between 101 and 201 are equal to the square of some  [#permalink]

### Show Tags

07 Feb 2019, 01:45
How many integers between 101 and 201 are equal to the "square of some integer"

Notice the word Square of SOME INTEGER

my understanding is N^2 lies in the given range and we need to find the number of values that satisfies

101<=N^2<=201

Posted from my mobile device
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9701
Location: Pune, India
Re: How many integers between 101 and 201 are equal to the square of some  [#permalink]

### Show Tags

07 Feb 2019, 03:21
Bunuel wrote:
How many integers between 101 and 201 are equal to the square of some integer ?

A. Two
B. There
C. Four
D. Five
E. Six

Look for the closest perfect square less than 101. It is 100 (which is 10^2).
The greatest perfect square more than 201 is 225 (15^2)

So 11^2 = 121, 12^2 = 144, 13^2 = 169 and 14^2 = 196 lie in the given range.

Hence, 121, 144, 169 and 196 are the four integers between 101 and 201 which are square of some integers.
Note that 121 is the square of two integers (11 and -11). Still, it will be counted once only because both squared give 121 only. Even if 121 is the square of 2 different numbers, still it can be counted only once.

_________________
Karishma
Veritas Prep GMAT Instructor

Intern
Joined: 28 Sep 2018
Posts: 29
Re: How many integers between 101 and 201 are equal to the square of some  [#permalink]

### Show Tags

07 Feb 2019, 03:26
Bunuel wrote:
How many integers between 101 and 201 are equal to the square of some integer ?

A. Two
B. There
C. Four
D. Five
E. Six

Look for the closest perfect square less than 101. It is 100 (which is 10^2).
The greatest perfect square more than 201 is 225 (15^2)

So 11^2 = 121, 12^2 = 144, 13^2 = 169 and 14^2 = 196 lie in the given range.

Hence, 121, 144, 169 and 196 are the four integers between 101 and 201 which are square of some integers.
Note that 121 is the square of two integers (11 and -11). Still, it will be counted once only because both squared give 121 only. Even if 121 is the square of 2 different numbers, still it can be counted only once.

So if the answer choice had eight we would still go with 4?

Because though 11 and -11 give 1 value i.e 121 we have 2 different integers which give us 121

Posted from my mobile device
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8048
Location: United States (CA)
Re: How many integers between 101 and 201 are equal to the square of some  [#permalink]

### Show Tags

10 Feb 2019, 08:50
Bunuel wrote:
How many integers between 101 and 201 are equal to the square of some integer ?

A. Two
B. There
C. Four
D. Five
E. Six

The perfect squares between 101 and 201 are 121, 144, 169, and 196, which are 11^2, 12^2, 13^2, and 14^2, respectively.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

VP
Joined: 31 Oct 2013
Posts: 1471
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: How many integers between 101 and 201 are equal to the square of some  [#permalink]

### Show Tags

11 Feb 2019, 09:13
Bunuel wrote:
How many integers between 101 and 201 are equal to the square of some integer ?

A. Two
B. There
C. Four
D. Five
E. Six

between 101 and 201

$$121 = 11^2$$

$$196 = 14^2$$

11 , 12 , 13 , 14.

4 integers.

Re: How many integers between 101 and 201 are equal to the square of some   [#permalink] 11 Feb 2019, 09:13
Display posts from previous: Sort by