Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 27 May 2017, 03:53

### 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 June
Open Detailed Calendar

# What is the maximum number of 3x3 squares that can be formed

Author Message
TAGS:

### Hide Tags

Intern
Joined: 09 Feb 2012
Posts: 47
Followers: 0

Kudos [?]: 56 [0], given: 14

What is the maximum number of 3x3 squares that can be formed [#permalink]

### Show Tags

30 May 2012, 13:33
4
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

61% (01:46) correct 39% (01:12) wrong based on 98 sessions

### HideShow timer Statistics

What is the maximum number of 3x3 squares that can be formed from the squares in a 6x6 checker board?
Attachment:

square.jpg [ 30.23 KiB | Viewed 6247 times ]

A. 4
B. 6
C. 12
D. 16
E. 24
[Reveal] Spoiler: OA
Senior Manager
Joined: 13 May 2011
Posts: 313
WE 1: IT 1 Yr
WE 2: Supply Chain 5 Yrs
Followers: 21

Kudos [?]: 264 [1] , given: 11

Re: What is the maximum number of 3x3 squares that can be formed [#permalink]

### Show Tags

30 May 2012, 14:14
1
KUDOS
say the board is as below (6*6):

1 2 3 4 5 6
2
3
4
5
6

for 3*3: start from 1st row and 3rd row. Using each row we can have maximum 4, 3*3 square.
we can continue the process for (2nd and 4th row) = 4 squares, (3rd and 5th row) = 4 squares, and (4th and 6th row) = 4 squares
Total = 4+4+4+4=16 (3*3)squares
Manager
Joined: 12 May 2012
Posts: 83
Location: India
Concentration: General Management, Operations
GMAT 1: 650 Q51 V25
GMAT 2: 730 Q50 V38
GPA: 4
WE: General Management (Transportation)
Followers: 2

Kudos [?]: 103 [0], given: 14

Re: What is the maximum number of 3x3 squares that can be formed [#permalink]

### Show Tags

31 May 2012, 04:48

x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x

they can be chosen as 4*4 = 16

Top Row: total 4 ways to chose in rows

x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x

x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x

x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x

x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x

1st coloum: Total 4 ways to chose in coloums

x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x

x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x

x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x

x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x
x x x x x x
Intern
Joined: 09 Feb 2012
Posts: 47
Followers: 0

Kudos [?]: 56 [0], given: 14

Re: What is the maximum number of 3x3 squares that can be formed [#permalink]

### Show Tags

31 May 2012, 10:47
Thanks a lot guys. Got it!
Intern
Joined: 30 Oct 2011
Posts: 46
Followers: 0

Kudos [?]: 18 [0], given: 13

Re: What is the maximum number of 3x3 squares that can be formed [#permalink]

### Show Tags

28 Jul 2012, 03:43
Is there any direct formula to calculate it?

Director
Joined: 22 Mar 2011
Posts: 612
WE: Science (Education)
Followers: 101

Kudos [?]: 948 [0], given: 43

Re: What is the maximum number of 3x3 squares that can be formed [#permalink]

### Show Tags

28 Jul 2012, 04:05
mneeti wrote:
Is there any direct formula to calculate it?

Not really, but no need for a formula.

Think of, for example, choosing your 3 x 3 square by choosing first its left bottom corner. You have to be sure that the upper right corner will still be inside the big board.
It means that you can choose the bottom left corner anywhere in the bottom left area of 4 x 4. Which means 4 x 4 = 16 possibilities.
Or you can concentrate on any other corner of the 3 x 3 square, and then figure out where that corner can be.
I don't think you need to force here some formula saying 4C1 x 4C1 for choosing those corners...or anything similar.

_________________

PhD in Applied Mathematics
Love GMAT Quant questions and running.

Manager
Joined: 01 Mar 2009
Posts: 193
Location: United States
Concentration: Strategy, Technology
GMAT 1: 660 Q47 V34
GMAT 2: 680 Q46 V38
GPA: 3.2
WE: Consulting (Computer Software)
Followers: 3

Kudos [?]: 44 [0], given: 23

Re: What is the maximum number of 3x3 squares that can be formed [#permalink]

### Show Tags

28 Jul 2012, 07:29
I don't like the structure of this question. The question does not explicitly state how large each square is. I know there is a picture, but the question does not reference the picture at all.
Retired Moderator
Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
Posts: 1673
Location: Peru
Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
WE 1: Economic research
WE 2: Banking
WE 3: Government: Foreign Trade and SMEs
Followers: 103

Kudos [?]: 993 [0], given: 109

Re: What is the maximum number of 3x3 squares that can be formed [#permalink]

### Show Tags

26 Aug 2012, 17:16
+1 D

Imagine that tou have a 3x3 square and how you could placed it on that board.
You have to respect the edges or borders
_________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can."

My Integrated Reasoning Logbook / Diary: http://gmatclub.com/forum/my-ir-logbook-diary-133264.html

GMAT Club Premium Membership - big benefits and savings

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1857
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 51

Kudos [?]: 2174 [0], given: 193

Re: What is the maximum number of 3x3 squares that can be formed [#permalink]

### Show Tags

12 Sep 2014, 01:25
Answer = 4 * 4 = 16

Refer diagram below:
Attachment:

square.jpg [ 52.28 KiB | Viewed 3808 times ]

_________________

Kindly press "+1 Kudos" to appreciate

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15478
Followers: 651

Kudos [?]: 209 [0], given: 0

Re: What is the maximum number of 3x3 squares that can be formed [#permalink]

### Show Tags

09 Feb 2017, 02:34
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.
_________________
Re: What is the maximum number of 3x3 squares that can be formed   [#permalink] 09 Feb 2017, 02:34
Similar topics Replies Last post
Similar
Topics:
4 What is the maximum number of 1 3/4 foot pieces of wood that can be cu 5 19 Jan 2015, 02:26
10 What is the maximum number of 27 cubic centimetre cubes that can fit 3 07 Apr 2017, 14:06
What is the maximum number of different pieces that 4 linear 1 04 Jul 2012, 13:00
64 What is the sum of all 4-digit numbers that can be formed 17 02 Sep 2016, 07:10
50 What is the maximum number of pieces that a circular pie can 28 11 Feb 2017, 13:19
Display posts from previous: Sort by