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A rectangular board measuring 9 inches by 11 inches is to be covered w

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7497
GMAT 1: 760 Q51 V42
GPA: 3.82
A rectangular board measuring 9 inches by 11 inches is to be covered w  [#permalink]

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22 May 2019, 02:10
00:00

Difficulty:

35% (medium)

Question Stats:

61% (01:19) correct 39% (02:13) wrong based on 36 sessions

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[GMAT math practice question]

A rectangular board measuring 9 inches by 11 inches is to be covered with 2 inch by 3 inch rectangular tiles and 1-inch square tiles. What is the smallest number of tiles that can be used to cover the board?

A. 19
B. 20
C. 22
D. 24
E. 25

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" CEO Joined: 18 Aug 2017 Posts: 3920 Location: India Concentration: Sustainability, Marketing GPA: 4 WE: Marketing (Energy and Utilities) Re: A rectangular board measuring 9 inches by 11 inches is to be covered w [#permalink] Show Tags 22 May 2019, 02:45 1 MathRevolution wrote: [GMAT math practice question] A rectangular board measuring 9 inches by 11 inches is to be covered with 2 inch by 3 inch rectangular tiles and 1-inch square tiles. What is the smallest number of tiles that can be used to cover the board? A. 19 B. 20 C. 22 D. 24 E. 25 toal area ; 9*11; 99 so we can use ; 16*2*3 ; 96 and 3 1*1 ; tiles so total 16+3 ; 19 IMO A _________________ If you liked my solution then please give Kudos. Kudos encourage active discussions. Intern Joined: 03 Mar 2016 Posts: 11 Re: A rectangular board measuring 9 inches by 11 inches is to be covered w [#permalink] Show Tags 22 May 2019, 02:56 Total area = 9 * 11 = 99 sq inches. We have two types of tiles 1- measures 2 X 3 = 6 sq inches 2 - measures 1 X1 = 1 sq inches No of type 1 tiles can be used = 99 / 6 = 16. Remaining space => 99 - 96 = 3 sq inches. We can use type 2 tiles for the remaining space -> 1 X 3 = 3 tiles Total No tiles = 16 + 3 = 19. IMO - A. Thanks. Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7497 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: A rectangular board measuring 9 inches by 11 inches is to be covered w [#permalink] Show Tags 24 May 2019, 02:19 => Attachment: 5.24.png [ 31.96 KiB | Viewed 157 times ] The smallest number of tiles will be obtained by using as many $$2$$ inch by $$3$$ inch rectangular tiles as possible since they are the larger tiles. As shown in the diagram above, $$16$$ such tiles can be placed on the board, leaving three square inches to be covered with $$1$$-inch square tiles. The total number of tiles used is $$16 + 3 = 19.$$ Therefore, A is the answer. Answer: A _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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Re: A rectangular board measuring 9 inches by 11 inches is to be covered w   [#permalink] 24 May 2019, 02:19
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