NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 02:55 It is currently 26 Apr 2024, 02:55
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

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

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92929
Own Kudos [?]: 619100 [1]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
How many integers between 101 and 201 are equal to the square of some [#permalink] New post   07 Feb 2019, 00:58
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

84% (00:56) correct 16% (00:54) wrong based on 69 sessions
Hide Show 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
ShowHide Answer
Official Answer
C
User avatar
D
Hoozan
Director
Director
Joined: 28 Sep 2018
Posts: 734
Own Kudos [?]: 559 [1]
Given Kudos: 248
GMAT 1: 660 Q48 V33 (Online)
GMAT 2: 700 Q49 V37
Send PM
Reviews Badge
Re: How many integers between 101 and 201 are equal to the square of some [#permalink] New post   07 Feb 2019, 01:15
1
Kudos
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
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8020
Own Kudos [?]: 4098 [1]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: How many integers between 101 and 201 are equal to the square of some [#permalink] New post   07 Feb 2019, 01:30
1
Kudos
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..
avatar
G
kunalcvrce
Manager
Manager
Joined: 05 Feb 2016
Posts: 129
Own Kudos [?]: 108 [0]
Given Kudos: 69
Location: India
Concentration: General Management, Marketing
WE:Information Technology (Computer Software)
Send PM
GMAT ToolKit User
Re: How many integers between 101 and 201 are equal to the square of some [#permalink] New post   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
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8020
Own Kudos [?]: 4098 [0]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: How many integers between 101 and 201 are equal to the square of some [#permalink] New post   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
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8020
Own Kudos [?]: 4098 [0]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: How many integers between 101 and 201 are equal to the square of some [#permalink] New post   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 ;
User avatar
D
Hoozan
Director
Director
Joined: 28 Sep 2018
Posts: 734
Own Kudos [?]: 559 [0]
Given Kudos: 248
GMAT 1: 660 Q48 V33 (Online)
GMAT 2: 700 Q49 V37
Send PM
Reviews Badge
Re: How many integers between 101 and 201 are equal to the square of some [#permalink] New post   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
User avatar
D
Hoozan
Director
Director
Joined: 28 Sep 2018
Posts: 734
Own Kudos [?]: 559 [0]
Given Kudos: 248
GMAT 1: 660 Q48 V33 (Online)
GMAT 2: 700 Q49 V37
Send PM
Reviews Badge
Re: How many integers between 101 and 201 are equal to the square of some [#permalink] New post   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
User avatar
L
KarishmaB
Tutor
Joined: 16 Oct 2010
Posts: 14823
Own Kudos [?]: 64928 [0]
Given Kudos: 426
Location: Pune, India
Send PM
Re: How many integers between 101 and 201 are equal to the square of some [#permalink] New post   07 Feb 2019, 03:21
Expert Reply
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.


Answer (C)
User avatar
D
Hoozan
Director
Director
Joined: 28 Sep 2018
Posts: 734
Own Kudos [?]: 559 [0]
Given Kudos: 248
GMAT 1: 660 Q48 V33 (Online)
GMAT 2: 700 Q49 V37
Send PM
Reviews Badge
Re: How many integers between 101 and 201 are equal to the square of some [#permalink] New post   07 Feb 2019, 03:26
VeritasKarishma wrote:
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.


Answer (C)



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
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18761
Own Kudos [?]: 22055 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: How many integers between 101 and 201 are equal to the square of some [#permalink] New post   10 Feb 2019, 08:50
Expert Reply
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.

Answer: C
User avatar
D
KSBGC
VP
VP
Joined: 31 Oct 2013
Posts: 1260
Own Kudos [?]: 1155 [0]
Given Kudos: 635
Concentration: Accounting, Finance
GPA: 3.68
WE:Analyst (Accounting)
Send PM
Re: How many integers between 101 and 201 are equal to the square of some [#permalink] New post   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.

C is the correct answer.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32678
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: How many integers between 101 and 201 are equal to the square of some [#permalink] New post   06 Sep 2023, 18:30
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: How many integers between 101 and 201 are equal to the square of some [#permalink]
06 Sep 2023, 18:30
Moderators:
Bunuel
Math Expert
92929 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions