In the figure given below the circle represents colour, the rectangle represents black and the triangle represents pink. The number in each area represents the number of items in that area. How many colour are pink?
23
Here the circle stands for 'colour' and the triangle stands for 'pink', so items that are both colour and pink must lie in the region where the circle and the triangle overlap.
In such a figure that shared zone is made of every area that falls inside both the circle and the triangle, whether or not it also lies inside the rectangle (black).
Two sub-areas make up this overlap: the part that is inside the circle and triangle only, and the part that is common to the circle, the triangle and the rectangle together.
From the numbers marked in the figure, the circle-and-triangle-only area carries 5 items.
The area common to circle, triangle and rectangle carries 18 items.
Adding the two overlapping areas gives the count of colour items that are also pink: \(5 + 18 = 23\).
Hence the number of colour that are pink is 23.
Similar Questions
In the figure given below the rectangle represents airplanes, the circle represents white and the triangle represents car. The number in each area represents the number of items in that area.
Which of the following statement is NOT correct?
I. Number of white which are car and airplanes both are 9.
II. Number of airplanes which are not car are 24.
In the figure given below the triangle represents balls, the circle represents chairs and the rectangle represents wickets. The number in each area represents the number of items in that area.
Which of the following statement is correct?
I. Number of wickets which are only chairs are 10.
II. Total number of balls are 14 less than the total number of wickets.
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In the figure given below the triangle represents pens, the rectangle represents pencils and the circle represents erasers. Number in each area represents the number of items in that area.
How many pens are pencils?
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