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An artist has a canvas of length 10 inches and breadth 7 inches. He paints a green square of side 1 inch in one corner of the canvas. He then paints the two adjacent squares with blue colour. He continues to paint the entire canvas in such a way that no green square is adjacent to a blue square and vice versa. What is the ratio of number of blue squares to the number of green squares?
- a)10: 7
- b)5 : 7
- c)1: 1
- d)7:10
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
An artist has a canvas of length 10 inches and breadth 7 inches. He pa...
The canvas along the length would have 5 blue and 5 green squares for each 1 inch breadth.
Hence, they would have equal number of blue and green squares, similar to a chess board but with different dimensions.
Most Upvoted Answer
An artist has a canvas of length 10 inches and breadth 7 inches. He pa...
The canvas along the length would have 5 blue and 5 green squares for each 1 inch breadth.
Hence, they would have equal number of blue and green squares, similar to a chess board but with different dimensions.
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Community Answer
An artist has a canvas of length 10 inches and breadth 7 inches. He pa...
Given:
- Length of canvas = 10 inches
- Breadth of canvas = 7 inches
To Find:
The ratio of the number of blue squares to the number of green squares.
Solution:
To solve this problem, let's consider the following points:
1. Dimensions of the squares:
- The green square has a side length of 1 inch.
- The blue square has a side length of 2 inches.
- These squares are painted on the canvas without overlapping.
2. Placement of the squares:
- The artist starts by painting a green square in one corner of the canvas.
- The adjacent squares are painted blue, ensuring that no green square is adjacent to a blue square and vice versa.
- The artist continues this pattern until the entire canvas is painted.
3. Total number of squares:
- The total number of squares that can fit in the length of the canvas is 10/2 = 5.
- The total number of squares that can fit in the breadth of the canvas is 7/2 = 3.
4. Number of green squares:
- As the green squares have a side length of 1 inch, they can fit within the blue squares.
- Therefore, the number of green squares is equal to the total number of squares that can fit in the canvas, which is 5 * 3 = 15.
5. Number of blue squares:
- As the blue squares have a side length of 2 inches, they cover an area of 2 * 2 = 4 square inches.
- The area of the canvas is 10 * 7 = 70 square inches.
- Therefore, the number of blue squares is equal to the area of the canvas divided by the area covered by each blue square, which is 70/4 = 17.5.
- However, since we cannot have a fraction of a square, we need to round down to the nearest whole number.
- Therefore, the number of blue squares is 17.
6. Ratio of blue squares to green squares:
- The ratio of the number of blue squares to the number of green squares is 17/15.
- However, we need to simplify this ratio to its lowest terms.
- The greatest common divisor (GCD) of 17 and 15 is 1.
- Dividing both the numerator and denominator by 1, we get the simplified ratio of 17/15.
Therefore, the ratio of the number of blue squares to the number of green squares is 17:15, which is equivalent to option 'C' (1:1).
- Length of canvas = 10 inches
- Breadth of canvas = 7 inches
To Find:
The ratio of the number of blue squares to the number of green squares.
Solution:
To solve this problem, let's consider the following points:
1. Dimensions of the squares:
- The green square has a side length of 1 inch.
- The blue square has a side length of 2 inches.
- These squares are painted on the canvas without overlapping.
2. Placement of the squares:
- The artist starts by painting a green square in one corner of the canvas.
- The adjacent squares are painted blue, ensuring that no green square is adjacent to a blue square and vice versa.
- The artist continues this pattern until the entire canvas is painted.
3. Total number of squares:
- The total number of squares that can fit in the length of the canvas is 10/2 = 5.
- The total number of squares that can fit in the breadth of the canvas is 7/2 = 3.
4. Number of green squares:
- As the green squares have a side length of 1 inch, they can fit within the blue squares.
- Therefore, the number of green squares is equal to the total number of squares that can fit in the canvas, which is 5 * 3 = 15.
5. Number of blue squares:
- As the blue squares have a side length of 2 inches, they cover an area of 2 * 2 = 4 square inches.
- The area of the canvas is 10 * 7 = 70 square inches.
- Therefore, the number of blue squares is equal to the area of the canvas divided by the area covered by each blue square, which is 70/4 = 17.5.
- However, since we cannot have a fraction of a square, we need to round down to the nearest whole number.
- Therefore, the number of blue squares is 17.
6. Ratio of blue squares to green squares:
- The ratio of the number of blue squares to the number of green squares is 17/15.
- However, we need to simplify this ratio to its lowest terms.
- The greatest common divisor (GCD) of 17 and 15 is 1.
- Dividing both the numerator and denominator by 1, we get the simplified ratio of 17/15.
Therefore, the ratio of the number of blue squares to the number of green squares is 17:15, which is equivalent to option 'C' (1:1).
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An artist has a canvas of length 10 inches and breadth 7 inches. He paints a green square of side 1 inch in one corner of the canvas. He then paints the two adjacent squares with blue colour. He continues to paint the entire canvas in such a way that no green square is adjacent to a blue square and vice versa. What is the ratio of number of blue squares to the number of green squares?a)10: 7 b)5 : 7 c)1: 1 d)7:10Correct answer is option 'C'. Can you explain this answer?
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An artist has a canvas of length 10 inches and breadth 7 inches. He paints a green square of side 1 inch in one corner of the canvas. He then paints the two adjacent squares with blue colour. He continues to paint the entire canvas in such a way that no green square is adjacent to a blue square and vice versa. What is the ratio of number of blue squares to the number of green squares?a)10: 7 b)5 : 7 c)1: 1 d)7:10Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about An artist has a canvas of length 10 inches and breadth 7 inches. He paints a green square of side 1 inch in one corner of the canvas. He then paints the two adjacent squares with blue colour. He continues to paint the entire canvas in such a way that no green square is adjacent to a blue square and vice versa. What is the ratio of number of blue squares to the number of green squares?a)10: 7 b)5 : 7 c)1: 1 d)7:10Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An artist has a canvas of length 10 inches and breadth 7 inches. He paints a green square of side 1 inch in one corner of the canvas. He then paints the two adjacent squares with blue colour. He continues to paint the entire canvas in such a way that no green square is adjacent to a blue square and vice versa. What is the ratio of number of blue squares to the number of green squares?a)10: 7 b)5 : 7 c)1: 1 d)7:10Correct answer is option 'C'. Can you explain this answer?.
An artist has a canvas of length 10 inches and breadth 7 inches. He paints a green square of side 1 inch in one corner of the canvas. He then paints the two adjacent squares with blue colour. He continues to paint the entire canvas in such a way that no green square is adjacent to a blue square and vice versa. What is the ratio of number of blue squares to the number of green squares?a)10: 7 b)5 : 7 c)1: 1 d)7:10Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about An artist has a canvas of length 10 inches and breadth 7 inches. He paints a green square of side 1 inch in one corner of the canvas. He then paints the two adjacent squares with blue colour. He continues to paint the entire canvas in such a way that no green square is adjacent to a blue square and vice versa. What is the ratio of number of blue squares to the number of green squares?a)10: 7 b)5 : 7 c)1: 1 d)7:10Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An artist has a canvas of length 10 inches and breadth 7 inches. He paints a green square of side 1 inch in one corner of the canvas. He then paints the two adjacent squares with blue colour. He continues to paint the entire canvas in such a way that no green square is adjacent to a blue square and vice versa. What is the ratio of number of blue squares to the number of green squares?a)10: 7 b)5 : 7 c)1: 1 d)7:10Correct answer is option 'C'. Can you explain this answer?.
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