Geometry

This topic has expert replies
User avatar
Legendary Member
Posts: 1132
Joined: Mon Jul 20, 2009 3:38 am
Location: India
Thanked: 64 times
Followed by:6 members
GMAT Score:760

Geometry

by harsh.champ » Thu Feb 04, 2010 1:53 pm
An artist has a canvas of length 10 inches and breadth 7 inches. He divides the canvas into 70 squares of area 1 inch by drawing lines parallel to the edges. He paints a corner square with green colour. He then paints the two adjacent squares that share the side with the existing green square with blue colour. He continues to paint the entire canvas in such a way that no green square is adjacent (i.e. share the same side) to another green and no blue square adjacent to another blue. What is the ratio of number of blue squares on the canvas to the number of green squares ?


(1)10:7
(2)5:7
(3)1:1
(4)7:10
(5)None of these
Source: — Problem Solving |

User avatar
Legendary Member
Posts: 2109
Joined: Sun Apr 19, 2009 10:25 pm
Location: New Jersey
Thanked: 109 times
Followed by:79 members
GMAT Score:640

by money9111 » Thu Feb 04, 2010 2:14 pm
imo (3) is the answer
My goal is to make MBA applicants take onus over their process.

My story from Pre-MBA to Cornell MBA - New Post in Pre-MBA blog

Me featured on Poets & Quants

Free Book for MBA Applicants


User avatar
Legendary Member
Posts: 1275
Joined: Thu Sep 21, 2006 11:13 pm
Location: Arabian Sea
Thanked: 125 times
Followed by:2 members

by ajith » Thu Feb 04, 2010 4:00 pm
harsh.champ wrote:An artist has a canvas of length 10 inches and breadth 7 inches. He divides the canvas into 70 squares of area 1 inch by drawing lines parallel to the edges. He paints a corner square with green colour. He then paints the two adjacent squares that share the side with the existing green square with blue colour. He continues to paint the entire canvas in such a way that no green square is adjacent (i.e. share the same side) to another green and no blue square adjacent to another blue. What is the ratio of number of blue squares on the canvas to the number of green squares ?


(1)10:7
(2)5:7
(3)1:1
(4)7:10
(5)None of these
Board has 7 inches breadth and 10 inches width and say he starts on the top corner; the board will have alternate blue and green boxes thus 35 blue and 35 green

3) 1:1
Always borrow money from a pessimist, he doesn't expect to be paid back.