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Geometry

Expert replies
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
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Source: — Problem Solving |

by money9111 » Thu Feb 04, 2010 2:14 pm
imo (3) is the answer
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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
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