Author 
Message 
TAGS:

Hide Tags

Manager
Status: Current MBA Student
Joined: 19 Nov 2009
Posts: 127
Concentration: Finance, General Management

A square board that has an area of 25 square inches is to be [#permalink]
Show Tags
11 Mar 2011, 11:20
6
This post was BOOKMARKED
Question Stats:
37% (01:25) correct 63% (01:25) wrong based on 197 sessions
HideShow timer Statistics
A square board that has an area of 25 square inches is to be cut into pieces, each of which is a square with sides of length 1, 2, or 3 inches. What is the least number of such square pieces into which the board can be cut? A. 5 B. 6 C. 7 D. 8 E. 9
Official Answer and Stats are available only to registered users. Register/ Login.
Last edited by Bunuel on 25 Mar 2014, 01:30, edited 1 time in total.
Edited the OA.



Manager
Joined: 14 Feb 2011
Posts: 181

Re: Cutting a square board [#permalink]
Show Tags
11 Mar 2011, 11:42
1
This post received KUDOS
tonebeeze wrote: A square board that has an area of 25 square inches is to be cut into pieces, each of which is a square with sides of length 1, 2, or 3 inches. What is the least number of such square pieces into which the board can be cut?
a. 5 b. 6 c. 7 d. 8 e. 9 This is best done by drawing a figure. You can do this in 8 squares  one \(3*3\), 3 squares of \(2*2\) each and 4 squares of \(1*1\) each.



Manager
Joined: 19 Nov 2010
Posts: 88

Re: Cutting a square board [#permalink]
Show Tags
11 Mar 2011, 13:55
I agree that the answer should be 8. What kind of question is this? Is there any mathamatical way to solve this?



Director
Joined: 01 Feb 2011
Posts: 703

Re: Cutting a square board [#permalink]
Show Tags
11 Mar 2011, 16:45
My answer is B.
6
two (3x3) , one (2x2) , three (1x1)'s



TOEFL Forum Moderator
Joined: 16 Nov 2010
Posts: 1589
Location: United States (IN)
Concentration: Strategy, Technology

Re: Cutting a square board [#permalink]
Show Tags
11 Mar 2011, 21:41
I got the answer 8 as well, by drawing the square in grid divided shape.
_________________
Formula of Life > Achievement/Potential = k * Happiness (where k is a constant)
GMAT Club Premium Membership  big benefits and savings



Manager
Joined: 14 Feb 2011
Posts: 181

Re: Cutting a square board [#permalink]
Show Tags
11 Mar 2011, 21:42
1
This post was BOOKMARKED
Spidy001 wrote: My answer is B.
6
two (3x3) , one (2x2) , three (1x1)'s Spody001  You cannot cut 2 3x3 squares from one 5x5 square. two 3x3 would need the square to be at least 6x6. Please draw a figure and you will be able to see it better.



Director
Joined: 01 Feb 2011
Posts: 703

Re: Cutting a square board [#permalink]
Show Tags
12 Mar 2011, 06:15
Agreed. Answer should be D.
one 3*3 ,two 2*2 and 4 1*1



Intern
Joined: 14 Jun 2012
Posts: 1

Geometry [#permalink]
Show Tags
20 Mar 2014, 22:33
A square board that has an area of 25 sq.inches is to be cut into pieces, each of which is a square with sides of length 1,2,3 inches. What is the least number of such square pieces into which the board can be cut? A.5 B.6 C.7 D.8 E.9



Math Expert
Joined: 02 Sep 2009
Posts: 43830

Re: Geometry [#permalink]
Show Tags
21 Mar 2014, 01:53



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1839
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: A square board that has an area of 25 square inches is to be [#permalink]
Show Tags
24 Mar 2014, 19:46
2
This post received KUDOS
2
This post was BOOKMARKED
Answer = D Total = 8 squares Bunuel, can you please change the OA to D?
Attachments
sq.jpg [ 28.84 KiB  Viewed 3154 times ]
_________________
Kindly press "+1 Kudos" to appreciate



Math Expert
Joined: 02 Sep 2009
Posts: 43830

Re: A square board that has an area of 25 square inches is to be [#permalink]
Show Tags
25 Mar 2014, 01:30



NonHuman User
Joined: 09 Sep 2013
Posts: 13818

Re: A square board that has an area of 25 square inches is to be [#permalink]
Show Tags
16 Jan 2016, 08:42
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 Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources



Director
Joined: 24 Nov 2015
Posts: 584
Location: United States (LA)

Re: A square board that has an area of 25 square inches is to be [#permalink]
Show Tags
17 Apr 2016, 02:37
I don't think it's a that much hard problem draw a figure of 5 * 5 square with 1 *1 small squares it can be easily deduced that only one 3 * 3 square fits into the larger square similarly only three 2* 2 square fits into the larger square and lastly the remaining slots can be filled by four 1 * 1 square Total = 8 correct answer option D
Attachments
File comment: use the given diagram to solve the given problem
square with 1 by 1 small squares shown.jpg [ 17.68 KiB  Viewed 1923 times ]



Manager
Joined: 14 Jun 2016
Posts: 74
Location: India
WE: Engineering (Manufacturing)

Re: A square board that has an area of 25 square inches is to be [#permalink]
Show Tags
01 Aug 2017, 23:21
PareshGmat wrote: Answer = D
Total = 8 squares
Bunuel, can you please change the OA to D? I solved in similar manner...but it took over 3 minutes to get the answer... Is there any smarter way? Or we need to visualize and then check the options. The clue was we can take only one 3*3 square and then fit the rest with as max dimension as possible i.e. 2*2 on priority and then 1*1.
_________________
If you appreciate my post then please click +1Kudos




Re: A square board that has an area of 25 square inches is to be
[#permalink]
01 Aug 2017, 23:21






